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Solanki P, Krishna M, Hajdušek M, Bruder C, Vinjanampathy S. Exotic Synchronization in Continuous Time Crystals Outside the Symmetric Subspace. PHYSICAL REVIEW LETTERS 2024; 133:260403. [PMID: 39879011 DOI: 10.1103/physrevlett.133.260403] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/15/2023] [Revised: 08/13/2024] [Accepted: 11/15/2024] [Indexed: 01/31/2025]
Abstract
Exploring continuous time crystals (CTCs) within the symmetric subspace of spin systems has been a subject of intensive research in recent times. Thus far, the stability of the time-crystal phase outside the symmetric subspace in such spin systems has gone largely unexplored. Here, we investigate the effect of including the asymmetric subspaces on the dynamics of CTCs in a driven dissipative spin model. This results in multistability, and the dynamics becomes dependent on the initial state. Remarkably, this multistability leads to exotic synchronization regimes such as chimera states and cluster synchronization in an ensemble of coupled identical CTCs. Interestingly, it leads to other nonlinear phenomena such as oscillation death and signature of chaos.
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Affiliation(s)
- Parvinder Solanki
- University of Basel, Department of Physics, Klingelbergstrasse 82, CH-4056 Basel, Switzerland
| | - Midhun Krishna
- Indian Institute of Technology, Department of Physics, -Bombay, Powai, Mumbai 400076, India
| | - Michal Hajdušek
- Keio University Shonan Fujisawa Campus, 5322 Endo, Fujisawa, Kanagawa 252-0882, Japan
- Keio University Quantum Computing Center, 3-14-1 Hiyoshi, Kohoku, Yokohama, Kanagawa 223-8522, Japan
| | - Christoph Bruder
- University of Basel, Department of Physics, Klingelbergstrasse 82, CH-4056 Basel, Switzerland
| | - Sai Vinjanampathy
- Indian Institute of Technology, Department of Physics, -Bombay, Powai, Mumbai 400076, India
- Indian Institute of Technology, Centre of Excellence in Quantum Information, Computation, Science and Technology, Bombay, Powai, Mumbai 400076, India
- Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543
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Ballantine KE, Ruostekoski J. Optical Magnetism and Huygens' Surfaces in Arrays of Atoms Induced by Cooperative Responses. PHYSICAL REVIEW LETTERS 2020; 125:143604. [PMID: 33064535 DOI: 10.1103/physrevlett.125.143604] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/28/2020] [Accepted: 08/31/2020] [Indexed: 06/11/2023]
Abstract
By utilizing strong optical resonant interactions in arrays of atoms with electric dipole transitions, we show how to synthesize collective optical responses that correspond to those formed by arrays of magnetic dipoles and other multipoles. Optically active magnetism with the strength comparable with that of electric dipole transitions is achieved in collective excitation eigenmodes of the array. By controlling the atomic level shifts, an array of spectrally overlapping, crossed electric and magnetic dipoles can be excited, providing a physical realization of a nearly reflectionless quantum Huygens' surface with the full 2π phase control of the transmitted light that allows for extreme wavefront engineering even at a single photon level. We illustrate this by creating a superposition of two different orbital angular momentum states of light from an ordinary input state that has no orbital angular momentum.
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Affiliation(s)
- K E Ballantine
- Department of Physics, Lancaster University, Lancaster LA1 4YB, United Kingdom
| | - J Ruostekoski
- Department of Physics, Lancaster University, Lancaster LA1 4YB, United Kingdom
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Jen HH. Super- and sub-radiance from two-dimensional resonant dipole-dipole interactions. Sci Rep 2019; 9:5804. [PMID: 30967605 PMCID: PMC6456626 DOI: 10.1038/s41598-019-42285-9] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/25/2019] [Accepted: 03/28/2019] [Indexed: 11/13/2022] Open
Abstract
We theoretically investigate the super- and sub-radiance from the resonant dipole-dipole interactions (RDDI) in a confined two-dimensional (2D) reservoir. The distinctive feature of 2D RDDI shows qualitatively and quantitatively different long-range behavior from RDDI in free space. We investigate the collective radiation properties of the singly-excited symmetric state under this 2D RDDI. This state also allows subradiant decays in much longer distances than the transition wavelength, showing longrange atom-atom correlations. We further study the dynamics of the subradiant states which can be accessed by imprinting spatially dependent phases on the atomic arrays. Our results demonstrate rich opportunities in engineering light-matter interactions in a confined 2D reservoir, and hold promise in applications of quantum light storage and single-excitation state manipulations.
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Affiliation(s)
- H H Jen
- Institute of Physics, Academia Sinica, Taipei, 11529, Taiwan.
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Sinha K, Venkatesh BP, Meystre P. Collective Effects in Casimir-Polder Forces. PHYSICAL REVIEW LETTERS 2018; 121:183605. [PMID: 30444396 DOI: 10.1103/physrevlett.121.183605] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/09/2018] [Indexed: 06/09/2023]
Abstract
We study cooperative phenomena in the fluctuation-induced forces between a surface and a system of neutral two-level quantum emitters prepared in a coherent collective state, showing that the total Casimir-Polder force on the emitters can be modified via their mutual correlations. Particularly, we find that a one-dimensional chain of emitters prepared in a super- or subradiant state experiences an enhanced or suppressed collective vacuum-induced force, respectively. The collective nature of dispersion forces can be understood as resulting from the interference between the different processes contributing to the surface-modified resonant dipole-dipole interaction. Such cooperative fluctuation forces depend singularly on the surface response at the resonance frequency of the emitters, thus being easily maneuverable. Our results demonstrate the potential of collective phenomena as a new tool to selectively tailor vacuum forces.
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Affiliation(s)
- Kanupriya Sinha
- US Army Research Laboratory, Adelphi, Maryland 20783, USA; Joint Quantum Institute, University of Maryland, College Park, Maryland 20742, USA; and Max Planck Institute for the Physics of Complex Systems, Dresden 01187, Germany
| | - B Prasanna Venkatesh
- Institute for Theoretical Physics, University of Innsbruck, A-6020 Innsbruck, Austria, and Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, A-6020 Innsbruck, Austria
| | - Pierre Meystre
- Department of Physics and College of Optical Sciences, University of Arizona, Tucson, Arizona 85721, USA
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