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Khramenkov VA, Dmitrichev AS, Nekorkin VI. Bistability of operating modes and their switching in a three-machine power grid. CHAOS (WOODBURY, N.Y.) 2023; 33:103129. [PMID: 37850866 DOI: 10.1063/5.0165779] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/30/2023] [Accepted: 09/26/2023] [Indexed: 10/19/2023]
Abstract
We consider a power grid consisting of three synchronous generators supplying a common static load, in which one of the generators is located electrically much closer to the load than the others, due to a shorter transmission line with longitudinal inductance compensation. A reduced model is derived in the form of an ensemble with a star (hub) topology without parameter interdependence. We show that stable symmetric and asymmetric synchronous modes can be realized in the grid, which differ, in particular, in the ratio of currents through the second and third power supply paths. The modes of different types are not observed simultaneously, but the asymmetric modes always exist in pairs. A partition of the parameter space into regions with different dynamical regimes of the grid are obtained. Regions are highlighted where only synchronous operating modes can be established. It is shown that the grid can be highly multistable and, along with synchronous operating modes, have simultaneously various types of non-synchronous modes. We study non-local stability of the asymmetric synchronous modes and switchings between them under the influence one-time disturbances and additive noise fluctuations in the mechanical powers of the generators' turbines. The characteristics of one-time disturbances are obtained leading to either return the grid back to the initial synchronous mode or switching the grid to another synchronous mode or some non-synchronous mode. The characteristics of noise fluctuations are obtained, which provide either a more probable finding of the grid in the desirable quasi-synchronous mode, or switching to an undesirable one.
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Affiliation(s)
- V A Khramenkov
- Department of Nonlinear Dynamics, Institute of Applied Physics of RAS, 46 Ulyanov Str., 603950 Nizhny Novgorod, Russia
| | - A S Dmitrichev
- Department of Nonlinear Dynamics, Institute of Applied Physics of RAS, 46 Ulyanov Str., 603950 Nizhny Novgorod, Russia
| | - V I Nekorkin
- Department of Nonlinear Dynamics, Institute of Applied Physics of RAS, 46 Ulyanov Str., 603950 Nizhny Novgorod, Russia
- Department of Oscillation Theory and Automatic Regulation, Nizhny Novgorod State University, 23 Prospekt Gagarina, 603950 Nizhny Novgorod, Russia
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2
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Zack E, Zhang D, Trepanier M, Cai J, Tai T, Lazarides N, Hizanidis J, Anlage SM. Tuning of strong nonlinearity in radio-frequency superconducting-quantum-interference-device meta-atoms. Phys Rev E 2022; 105:044202. [PMID: 35590567 DOI: 10.1103/physreve.105.044202] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/17/2021] [Accepted: 03/11/2022] [Indexed: 06/15/2023]
Abstract
Strong nonlinearity of a self-resonant radio-frequency (rf) superconducting-quantum-interference-device (SQUID) meta-atom is explored via intermodulation (IM) measurements. Previous work in zero dc magnetic flux showed a sharp onset of IM response as the frequency sweeps through the resonance. A second onset at higher frequency was also observed, creating a prominent gap in the IM response. By extending those measurements to nonzero dc flux, different dynamics are revealed, including dc flux tunability of the aforementioned gaps and enhanced IM response near geometric resonance of the rf SQUID. These features observed experimentally are understood and analyzed theoretically through a combination of a steady-state analytical modeling and a full numerical treatment of the rf SQUID dynamics. The latter in addition predicts the presence of chaos in narrow parameter regimes. The understanding of intermodulation in rf SQUID metamaterials is important for producing low-noise amplification of microwave signals and tunable filters.
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Affiliation(s)
- Ethan Zack
- Quantum Materials Center, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA
| | - Daimeng Zhang
- Quantum Materials Center, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA
| | - Melissa Trepanier
- Quantum Materials Center, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA
| | - Jingnan Cai
- Quantum Materials Center, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA
| | - Tamin Tai
- Quantum Materials Center, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA
| | - Nikos Lazarides
- Department of Physics, University of Crete, 71003 Herakleio, Greece
| | | | - Steven M Anlage
- Quantum Materials Center, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA
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3
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Shen RC, Wang YP, Li J, Zhu SY, Agarwal GS, You JQ. Long-Time Memory and Ternary Logic Gate Using a Multistable Cavity Magnonic System. PHYSICAL REVIEW LETTERS 2021; 127:183202. [PMID: 34767406 DOI: 10.1103/physrevlett.127.183202] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/27/2021] [Accepted: 10/11/2021] [Indexed: 06/13/2023]
Abstract
Multistability is an extraordinary nonlinear property of dynamical systems and can be explored to implement memory and switches. Here we experimentally realize the tristability in a three-mode cavity magnonic system with Kerr nonlinearity. The three stable states in the tristable region correspond to the stable solutions of the frequency shift of the cavity magnon polariton under specific driving conditions. We find that the system staying in which stable state depends on the history experienced by the system, and this state can be harnessed to store the history information. In our experiment, the memory time can reach as long as 5.11 s. Moreover, we demonstrate the ternary logic gate with good on-off characteristics using this multistable hybrid system. Our new findings pave a way towards cavity magnonics-based information storage and processing.
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Affiliation(s)
- Rui-Chang Shen
- Interdisciplinary Center of Quantum Information, State Key Laboratory of Modern Optical Instrumentation, and Zhejiang Province Key Laboratory of Quantum Technology and Device, Department of Physics, Zhejiang University, Hangzhou 310027, China
| | - Yi-Pu Wang
- Interdisciplinary Center of Quantum Information, State Key Laboratory of Modern Optical Instrumentation, and Zhejiang Province Key Laboratory of Quantum Technology and Device, Department of Physics, Zhejiang University, Hangzhou 310027, China
| | - Jie Li
- Interdisciplinary Center of Quantum Information, State Key Laboratory of Modern Optical Instrumentation, and Zhejiang Province Key Laboratory of Quantum Technology and Device, Department of Physics, Zhejiang University, Hangzhou 310027, China
| | - Shi-Yao Zhu
- Interdisciplinary Center of Quantum Information, State Key Laboratory of Modern Optical Instrumentation, and Zhejiang Province Key Laboratory of Quantum Technology and Device, Department of Physics, Zhejiang University, Hangzhou 310027, China
| | - G S Agarwal
- Institute for Quantum Science and Engineering and Department of Biological and Agricultural Engineering, and Department of Physics and Astronomy, Texas AM University, College Station, Texas 77843, USA
| | - J Q You
- Interdisciplinary Center of Quantum Information, State Key Laboratory of Modern Optical Instrumentation, and Zhejiang Province Key Laboratory of Quantum Technology and Device, Department of Physics, Zhejiang University, Hangzhou 310027, China
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4
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The Rayleigh-Lorentz invariant for superconducting resonators and optimal adiabatic qubit-information detection. Sci Rep 2021; 11:13722. [PMID: 34215762 PMCID: PMC8253750 DOI: 10.1038/s41598-021-92555-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/19/2020] [Accepted: 06/07/2021] [Indexed: 11/14/2022] Open
Abstract
Dynamical properties of a resonator can be analyzed using the Rayleigh–Lorentz invariant which is not an exact constant but varies more or less over time depending on variations of parameters. We investigate the time behavior of this invariant for a superconducting nano-resonator in order for better understanding of qubit-information detection with the resonator. Superconducting resonators which uses parametric resonance in a Josephson junction circuit can be utilized in implementing diverse next generation nano-optic and nano-electronic devices such as quantum computing systems. Through the analyses of the temporal evolution of the invariant, we derive a condition for optimal adiabatic qubit-information detection with the resonator. This condition is helpful for controlling the dynamics of the resonators over long periods of time. It is necessary to consider it when designing a nano-resonator used for quantum nondemolition readouts of qubit states, crucial in quantum computation.
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Abstract
Metamaterials are the major type of artificially engineered materials which exhibit naturally unobtainable properties according to how their microarchitectures are engineered. Owing to their unique and controllable effective properties, including electric permittivity and magnetic permeability, the metamaterials play a vital role in the development of meta-devices. Therefore, the recent research has mainly focused on shifting towards achieving tunable, switchable, nonlinear, and sensing functionalities. In this review, we summarize the recent progress in terahertz, microwave electromagnetic, and photonic metamaterials, and their applications. The review also encompasses the role of metamaterials in the advancement of microwave sensors, photonic devices, antennas, energy harvesting, and superconducting quantum interference devices (SQUIDs).
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Hizanidis J, Lazarides N, Tsironis GP. Pattern formation and chimera states in 2D SQUID metamaterials. CHAOS (WOODBURY, N.Y.) 2020; 30:013115. [PMID: 32013479 DOI: 10.1063/1.5122307] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/30/2019] [Accepted: 12/17/2019] [Indexed: 06/10/2023]
Abstract
The Superconducting QUantum Interference Device (SQUID) is a highly nonlinear oscillator with rich dynamical behavior, including chaos. When driven by a time-periodic magnetic flux, the SQUID exhibits extreme multistability at frequencies around the geometric resonance, which is manifested by a "snakelike" form of the resonance curve. Repeating motifs of SQUIDs form metamaterials, i.e., artificially structured media of weakly coupled discrete elements that exhibit extraordinary properties, e.g., negative diamagnetic permeability. We report on the emergent collective dynamics in two-dimensional lattices of coupled SQUID oscillators, which involves a rich menagerie of spatiotemporal dynamics, including Turing-like patterns and chimera states. Using Fourier analysis, we characterize these patterns and identify characteristic spatial and temporal periods. In the low coupling limit, the Turing-like patterns occur near the synchronization-desynchronization transition, which can be related to the bifurcation scenarios of the single SQUID. Chimeras emerge due to the multistability near the geometric resonance, and by varying the dc component of the external force, we can make them appear and reappear and, also, control their location. A detailed analysis of the parameter space reveals the coexistence of Turing-like patterns and chimera states in our model, as well as the ability to transform between these states by varying the system parameters.
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Affiliation(s)
- J Hizanidis
- Department of Physics, University of Crete, Herakleio 71003, Greece
| | - N Lazarides
- Department of Physics, University of Crete, Herakleio 71003, Greece
| | - G P Tsironis
- Department of Physics, University of Crete, Herakleio 71003, Greece
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Lazarides N, Tsironis GP. Multistable dissipative breathers and collective states in SQUID Lieb metamaterials. Phys Rev E 2018; 98:012207. [PMID: 30110756 DOI: 10.1103/physreve.98.012207] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/27/2017] [Indexed: 06/08/2023]
Abstract
A SQUID (Superconducting QUantum Interference Device) metamaterial on a Lieb lattice with nearest-neighbor coupling supports simultaneously stable dissipative breather families which are generated through a delicate balance of input power and intrinsic losses. Breather multistability is possible due to the peculiar snaking flux amplitude-frequency curve of single dissipative-driven SQUIDs, which for relatively high sinusoidal flux field amplitudes exhibits several stable and unstable solutions in a narrow frequency band around resonance. These breathers are very weakly interacting with each other, while multistability regimes with a different number of simultaneously stable breathers persist for substantial intervals of frequency, flux field amplitude, and coupling coefficients. Moreover, the emergence of chimera states as well as temporally chaotic states exhibiting spatial homogeneity within each sublattice of the Lieb lattice is demonstrated. The latter of the states emerge through an explosive hysteretic transition resembling explosive synchronization that has been reported before for various networks of oscillators.
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Affiliation(s)
- N Lazarides
- Department of Physics, University of Crete, P. O. Box 2208, 71003 Heraklion, Greece
- National University of Science and Technology "MISiS," Leninsky Prospekt 4, Moscow 119049, Russia
| | - G P Tsironis
- Department of Physics, University of Crete, P. O. Box 2208, 71003 Heraklion, Greece
- National University of Science and Technology "MISiS," Leninsky Prospekt 4, Moscow 119049, Russia
- School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA
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8
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Hizanidis J, Lazarides N, Tsironis GP. Flux bias-controlled chaos and extreme multistability in SQUID oscillators. CHAOS (WOODBURY, N.Y.) 2018; 28:063117. [PMID: 29960413 DOI: 10.1063/1.5020949] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
The radio frequency (rf) Superconducting QUantum Interference Device (SQUID) is a highly nonlinear oscillator exhibiting the rich dynamical behavior. It has been studied for many years and it has found numerous applications in magnetic field sensors, in biomagnetism, in non-destructive evaluation, and gradiometers, among others. Despite its theoretical and practical importance, there is relatively very little work on its multistability, chaotic properties, and bifurcation structure. In the present work, the dynamical properties of the SQUID in the strongly nonlinear regime are demonstrated using a well-established model whose parameters lie in the experimentally accessible range of values. When driven by a time-periodic (ac) flux either with or without a constant (dc) bias, the SQUID exhibits extreme multistability at frequencies around the (geometric) resonance. This effect is manifested by a "snake-like" form of the resonance curve. In the presence of both ac and dc flux, multiple bifurcation sequences and secondary resonance branches appear at frequencies above and below the geometric resonance. In the latter case, the SQUID exhibits chaotic behavior in large regions of the parameter space; it is also found that the state of the SQUID can be switched from chaotic to periodic or vice versa by a slight variation of the dc flux.
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Affiliation(s)
- J Hizanidis
- Department of Physics, University of Crete, P. O. Box 2208, 71003 Heraklion, Greece and National University of Science and Technology MISiS, Leninsky Prospekt 4, Moscow 119049, Russia
| | - N Lazarides
- Department of Physics, University of Crete, P. O. Box 2208, 71003 Heraklion, Greece and National University of Science and Technology MISiS, Leninsky Prospekt 4, Moscow 119049, Russia
| | - G P Tsironis
- Department of Physics, University of Crete, P. O. Box 2208, 71003 Heraklion, Greece and National University of Science and Technology MISiS, Leninsky Prospekt 4, Moscow 119049, Russia
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9
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Anzo-Hernández A, Gilardi-Velázquez HE, Campos-Cantón E. On multistability behavior of unstable dissipative systems. CHAOS (WOODBURY, N.Y.) 2018; 28:033613. [PMID: 29604643 DOI: 10.1063/1.5016329] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/16/2023]
Abstract
We present dissipative systems with unstable dynamics called the unstable dissipative systems which are capable of generating a multi-stable behavior, i.e., depending on its initial condition, the trajectory of the system converges to a specific attractor. Piecewise linear (PWL) systems are generated based on unstable dissipative systems, whose main attribute when they are switched is the generation of chaotic trajectories with multiple wings or scrolls. For this PWL system, a structure is proposed where both the linear part and the switching function depend on two parameters. We show the range of values of such parameters where the PWL system presents a multistable behavior and trajectories with multiscrolls.
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Affiliation(s)
- A Anzo-Hernández
- Cátedras CONACYT - Benemérita Universidad Autónoma de Puebla - Facultad de Ciencias Físico-Matemáticas, Benemerita Universidad Autónoma de Puebla, Avenida San Claudio y 18 Sur, Colonia San Manuel, 72570 Puebla, Mexico
| | - H E Gilardi-Velázquez
- División de Matemáticas Aplicadas, Instituto Potosino de Investigación Científica y Tecnológica A.C., Camino a la Presa San José 2055 col. Lomas 4a Sección, 78216 San Luis Potosí, SLP, Mexico
| | - E Campos-Cantón
- División de Matemáticas Aplicadas, Instituto Potosino de Investigación Científica y Tecnológica A.C., Camino a la Presa San José 2055 col. Lomas 4a Sección, 78216 San Luis Potosí, SLP, Mexico
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10
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Ahmadivand A, Gerislioglu B, Tomitaka A, Manickam P, Kaushik A, Bhansali S, Nair M, Pala N. Extreme sensitive metasensor for targeted biomarkers identification using colloidal nanoparticles-integrated plasmonic unit cells. BIOMEDICAL OPTICS EXPRESS 2018; 9:373-386. [PMID: 29552379 PMCID: PMC5854044 DOI: 10.1364/boe.9.000373] [Citation(s) in RCA: 38] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/13/2017] [Revised: 12/14/2017] [Accepted: 12/21/2017] [Indexed: 05/03/2023]
Abstract
Engineered terahertz (THz) plasmonic metamaterials have emerged as promising platforms for quick infection diagnosis, cost-effective and real-time pharmacology applications owing to their non-destructive and harmless interaction with biological tissues in both in vivo and in vitro assays. As a recent member of THz metamaterials family, toroidal metamaterials have been demonstrated to be supporting high-quality sharp resonance modes. Here we introduce a THz metasensor based on a plasmonic surface consisting of metamolecules that support ultra-narrow toroidal resonances excited by the incident radiation and demonstrate detection of an ultralow concertation targeted biomarker. The toroidal plasmonic metasurface was designed and optimized through extensive numerical studies and fabricated by standard microfabrication techniques. The surface then functionalized by immobilizing the antibody for virus-envelope proteins (ZIKV-EPs) for selective sensing. We sensed and quantified the ZIKV-EP in the assays by measuring the spectral shifts of the toroidal resonances while varying the concentration. In an improved protocol, we introduced gold nanoparticles (GNPs) decorated with the same antibodies onto the metamolecules and monitored the resonance shifts for the same concentrations. Our studies verified that the presence of GNPs enhances capturing of biomarker molecules in the surrounding medium of the metamaterial. By measuring the shift of the toroidal dipolar momentum (up to Δω~0.35 cm-1) for different concentrations of the biomarker proteins, we analyzed the sensitivity, repeatability, and limit of detection (LoD) of the proposed toroidal THz metasensor. The results show that up to 100-fold sensitivity enhancement can be obtained by utilizing plasmonic nanoparticles-integrated toroidal metamolecules in comparison to analogous devices. This approach allows for detection of low molecular-weight biomolecules (≈13 kDa) in diluted solutions using toroidal THz plasmonic unit cells.
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Affiliation(s)
- Arash Ahmadivand
- Department of Electrical and Computer Engineering, Florida International University, 10555 W Flagler St., Miami, FL 33174, USA
| | - Burak Gerislioglu
- Department of Electrical and Computer Engineering, Florida International University, 10555 W Flagler St., Miami, FL 33174, USA
| | - Asahi Tomitaka
- Center for Personalized NanoMedicine, Institute of Neurolmmune Pharmacology, Department of Immunology, Herbert Wertheim College of Medicine, Florida International University, Miami, FL 33199, USA
| | - Pandiaraj Manickam
- Bio-MEMS and Microsystems Laboratory, Department of Electrical and Computer Engineering, Florida International University, 10555 W Flagler St., Miami, FL 33174, USA
- Electrodics and Electrocatalysis Division, CSIR-Central Electrochemical Research Institute, Karaikudi, 630 006, Tamil Nadu, India
| | - Ajeet Kaushik
- Center for Personalized NanoMedicine, Institute of Neurolmmune Pharmacology, Department of Immunology, Herbert Wertheim College of Medicine, Florida International University, Miami, FL 33199, USA
| | - Shekhar Bhansali
- Bio-MEMS and Microsystems Laboratory, Department of Electrical and Computer Engineering, Florida International University, 10555 W Flagler St., Miami, FL 33174, USA
| | - Madhavan Nair
- Center for Personalized NanoMedicine, Institute of Neurolmmune Pharmacology, Department of Immunology, Herbert Wertheim College of Medicine, Florida International University, Miami, FL 33199, USA
| | - Nezih Pala
- Department of Electrical and Computer Engineering, Florida International University, 10555 W Flagler St., Miami, FL 33174, USA
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Trepanier M, Zhang D, Mukhanov O, Koshelets VP, Jung P, Butz S, Ott E, Antonsen TM, Ustinov AV, Anlage SM. Coherent oscillations of driven rf SQUID metamaterials. Phys Rev E 2017; 95:050201. [PMID: 28618480 DOI: 10.1103/physreve.95.050201] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/17/2017] [Indexed: 06/07/2023]
Abstract
Through experiments and numerical simulations we explore the behavior of rf SQUID (radio frequency superconducting quantum interference device) metamaterials, which show extreme tunability and nonlinearity. The emergent electromagnetic properties of this metamaterial are sensitive to the degree of coherent response of the driven interacting SQUIDs. Coherence suffers in the presence of disorder, which is experimentally found to be mainly due to a dc flux gradient. We demonstrate methods to recover the coherence, specifically by varying the coupling between the SQUID meta-atoms and increasing the temperature or the amplitude of the applied rf flux.
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Affiliation(s)
- Melissa Trepanier
- Department of Physics, CNAM, University of Maryland, College Park, Maryland 20742, USA
| | - Daimeng Zhang
- Department of Electrical and Computer Engineering, University of Maryland, College Park, Maryland 20742, USA
| | - Oleg Mukhanov
- Hypres, Inc., 175 Clearbrook Road, Elmsford, New York 10523, USA
| | - V P Koshelets
- Laboratory of Superconducting Devices for Signal Detection and Processing, Kotelnikov Institute of Radio Engineering and Electronics, Moscow 125009, Russia
| | - Philipp Jung
- Physikalisches Institut, Karlsruhe Institute of Technology, D-76049 Karlsruhe, Germany
| | - Susanne Butz
- Physikalisches Institut, Karlsruhe Institute of Technology, D-76049 Karlsruhe, Germany
| | - Edward Ott
- Department of Physics, CNAM, University of Maryland, College Park, Maryland 20742, USA
- Department of Electrical and Computer Engineering, University of Maryland, College Park, Maryland 20742, USA
| | - Thomas M Antonsen
- Department of Physics, CNAM, University of Maryland, College Park, Maryland 20742, USA
- Department of Electrical and Computer Engineering, University of Maryland, College Park, Maryland 20742, USA
| | - Alexey V Ustinov
- Physikalisches Institut, Karlsruhe Institute of Technology, D-76049 Karlsruhe, Germany
- Russian Quantum Center, National University of Science and Technology MISIS, Moscow 119049, Russia
| | - Steven M Anlage
- Department of Physics, CNAM, University of Maryland, College Park, Maryland 20742, USA
- Department of Electrical and Computer Engineering, University of Maryland, College Park, Maryland 20742, USA
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12
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Zhai Y, Ma Y, David SN, Zhao D, Lou R, Tan G, Yang R, Yin X. Scalable-manufactured randomized glass-polymer hybrid metamaterial for daytime radiative cooling. Science 2017; 355:1062-1066. [DOI: 10.1126/science.aai7899] [Citation(s) in RCA: 926] [Impact Index Per Article: 132.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/11/2016] [Revised: 11/17/2016] [Accepted: 01/27/2017] [Indexed: 11/02/2022]
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13
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Hizanidis J, Lazarides N, Tsironis GP. Robust chimera states in SQUID metamaterials with local interactions. Phys Rev E 2016; 94:032219. [PMID: 27739822 DOI: 10.1103/physreve.94.032219] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/11/2016] [Indexed: 06/06/2023]
Abstract
We report on the emergence of robust multiclustered chimera states in a dissipative-driven system of symmetrically and locally coupled identical superconducting quantum interference device (SQUID) oscillators. The "snakelike" resonance curve of the single SQUID is the key to the formation of the chimera states and is responsible for the extreme multistability exhibited by the coupled system that leads to attractor crowding at the geometrical resonance (inductive-capacitive) frequency. Until now, chimera states were mostly believed to exist for nonlocal coupling. Our findings provide theoretical evidence that nearest-neighbor interactions are indeed capable of supporting such states in a wide parameter range. SQUID metamaterials are the subject of intense experimental investigations, and we are highly confident that the complex dynamics demonstrated in this paper can be confirmed in the laboratory.
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Affiliation(s)
- J Hizanidis
- Department of Physics, Crete Center for Quantum Complexity and Nanotechnology, University of Crete, P.O. Box 2208, 71003 Heraklion, Greece; Institute of Electronic Structure and Laser, Foundation for Research and Technology-Hellas, P.O. Box 1527, 71110 Heraklion, Greece; and National University of Science and Technology MISiS, Leninsky Prospekt 4, Moscow 119049, Russia
| | - N Lazarides
- Department of Physics, Crete Center for Quantum Complexity and Nanotechnology, University of Crete, P.O. Box 2208, 71003 Heraklion, Greece; Institute of Electronic Structure and Laser, Foundation for Research and Technology-Hellas, P.O. Box 1527, 71110 Heraklion, Greece; and National University of Science and Technology MISiS, Leninsky Prospekt 4, Moscow 119049, Russia
| | - G P Tsironis
- Department of Physics, Crete Center for Quantum Complexity and Nanotechnology, University of Crete, P.O. Box 2208, 71003 Heraklion, Greece; Institute of Electronic Structure and Laser, Foundation for Research and Technology-Hellas, P.O. Box 1527, 71110 Heraklion, Greece; and National University of Science and Technology MISiS, Leninsky Prospekt 4, Moscow 119049, Russia
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14
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Krause AG, Hill JT, Ludwig M, Safavi-Naeini AH, Chan J, Marquardt F, Painter O. Nonlinear Radiation Pressure Dynamics in an Optomechanical Crystal. PHYSICAL REVIEW LETTERS 2015; 115:233601. [PMID: 26684117 DOI: 10.1103/physrevlett.115.233601] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/22/2015] [Indexed: 06/05/2023]
Abstract
Utilizing a silicon nanobeam optomechanical crystal, we investigate the attractor diagram arising from the radiation pressure interaction between a localized optical cavity at λ_{c}=1542 nm and a mechanical resonance at ω_{m}/2π=3.72 GHz. At a temperature of T_{b}≈10 K, highly nonlinear driving of mechanical motion is observed via continuous wave optical pumping. Introduction of a time-dependent (modulated) optical pump is used to steer the system towards an otherwise inaccessible dynamically stable attractor in which mechanical self-oscillation occurs for an optical pump red detuned from the cavity resonance. An analytical model incorporating thermo-optic effects due to optical absorption heating is developed and found to accurately predict the measured device behavior.
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Affiliation(s)
- Alex G Krause
- Kavli Nanoscience Institute and Thomas J. Watson, Sr., Laboratory of Applied Physics, California Institute of Technology, Pasadena, California 91125, USA
- Institute for Quantum Information and Matter, California Institute of Technology, Pasadena, California 91125, USA
| | - Jeff T Hill
- Kavli Nanoscience Institute and Thomas J. Watson, Sr., Laboratory of Applied Physics, California Institute of Technology, Pasadena, California 91125, USA
- Institute for Quantum Information and Matter, California Institute of Technology, Pasadena, California 91125, USA
- Edward L. Ginzton Laboratory, Stanford University, Stanford, California 94305, USA
| | - Max Ludwig
- Institute for Theoretical Physics, Universität Erlangen-Nürnberg, 91058 Erlangen, Germany
| | - Amir H Safavi-Naeini
- Kavli Nanoscience Institute and Thomas J. Watson, Sr., Laboratory of Applied Physics, California Institute of Technology, Pasadena, California 91125, USA
- Institute for Quantum Information and Matter, California Institute of Technology, Pasadena, California 91125, USA
- Edward L. Ginzton Laboratory, Stanford University, Stanford, California 94305, USA
| | - Jasper Chan
- Kavli Nanoscience Institute and Thomas J. Watson, Sr., Laboratory of Applied Physics, California Institute of Technology, Pasadena, California 91125, USA
- Institute for Quantum Information and Matter, California Institute of Technology, Pasadena, California 91125, USA
| | - Florian Marquardt
- Institute for Theoretical Physics, Universität Erlangen-Nürnberg, 91058 Erlangen, Germany
- Max Planck Institute for the Science of Light, Günther-Scharowsky-Straße 1/Bau 24, D-91058 Erlangen, Germany
| | - Oskar Painter
- Kavli Nanoscience Institute and Thomas J. Watson, Sr., Laboratory of Applied Physics, California Institute of Technology, Pasadena, California 91125, USA
- Institute for Quantum Information and Matter, California Institute of Technology, Pasadena, California 91125, USA
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Dynamically self-assembled silver nanoparticles as a thermally tunable metamaterial. Nat Commun 2015; 6:6590. [DOI: 10.1038/ncomms7590] [Citation(s) in RCA: 130] [Impact Index Per Article: 14.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/18/2014] [Accepted: 02/10/2015] [Indexed: 02/06/2023] Open
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