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Ma YH, Hou XW, Zhao R, Li MX, Zhao XY. Chaos generated in a semiconductor microcavity. Phys Rev E 2023; 107:024220. [PMID: 36932531 DOI: 10.1103/physreve.107.024220] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/08/2022] [Accepted: 01/17/2023] [Indexed: 06/18/2023]
Abstract
The dynamics of chaos in quantum systems has attracted much interest in connection with the fundamental aspects of quantum mechanics. We study the chaotic dynamics of both the excitonic mode and the cavity mode in a microcavity containing a quantum well driven by an external field. We investigate how the chaotic dynamics is influenced by the frequencies of the exciton and the cavity, the coupling constant between the exciton and cavity, the Coulomb interaction between excitons, and the response of the exciton to the cavity and the external field. We show that chaos can be generated synchronously in both the cavity and the excitonic mode by choosing appropriate parameters. Moreover, this kind of chaos can be controlled by the coupling constant, the strength of the interaction between excitons, the external field, the response of the excitons to the cavity, and the detuning between the cavity field and the excitonic field. The present study may have applications in chaos-based neural networks and extreme event statistics.
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Affiliation(s)
- Yong Hong Ma
- School of Science, Inner Mongolia University of Science and Technology, Baotou 014010, People's Republic of China
| | - Xing Wang Hou
- School of Science, Inner Mongolia University of Science and Technology, Baotou 014010, People's Republic of China
| | - Rong Zhao
- School of Science, Inner Mongolia University of Science and Technology, Baotou 014010, People's Republic of China
| | - Ming Xin Li
- School of Science, Inner Mongolia University of Science and Technology, Baotou 014010, People's Republic of China
| | - Xin Yu Zhao
- Department of Physics, Fuzhou University, Fuzhou 350116, People's Republic of China
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2
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Li X, Yoshioka K, Zhang Q, Peraca NM, Katsutani F, Gao W, Noe GT, Watson JD, Manfra MJ, Katayama I, Takeda J, Kono J. Observation of Photoinduced Terahertz Gain in GaAs Quantum Wells: Evidence for Radiative Two-Exciton-to-Biexciton Scattering. PHYSICAL REVIEW LETTERS 2020; 125:167401. [PMID: 33124876 DOI: 10.1103/physrevlett.125.167401] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/18/2020] [Revised: 06/19/2020] [Accepted: 09/16/2020] [Indexed: 06/11/2023]
Abstract
We have observed photoinduced negative optical conductivity, or gain, in the terahertz frequency range in a GaAs multiple-quantum-well structure in a strong perpendicular magnetic field at low temperatures. The gain is narrow band: it appears as a sharp peak (linewidth <0.45 meV) whose frequency shifts with applied magnetic field. The gain has a circular-polarization selection rule: a strong line is observed for hole-cyclotron-resonance-active polarization. Furthermore, the gain appears only when the exciton 1s state is populated, which rules out intraexcitonic transitions to be its origin. Based on these observations, we propose a possible process in which the stimulated emission of a terahertz photon occurs while two free excitons scatter into one biexciton in an energy and angular-momentum conserving manner.
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Affiliation(s)
- Xinwei Li
- Department of Electrical and Computer Engineering, Rice University, Houston, Texas 77005, USA
| | - Katsumasa Yoshioka
- Department of Physics, Graduate School of Engineering Science, Yokohama National University, Yokohama 240-8501, Japan
| | - Qi Zhang
- School of Physics, Nanjing University, Nanjing 210093, China
| | | | - Fumiya Katsutani
- Department of Electrical and Computer Engineering, Rice University, Houston, Texas 77005, USA
| | - Weilu Gao
- Department of Electrical and Computer Engineering, Rice University, Houston, Texas 77005, USA
| | - G Timothy Noe
- Department of Electrical and Computer Engineering, Rice University, Houston, Texas 77005, USA
| | - John D Watson
- Department of Physics and Astronomy, Purdue University, West Lafayette, Indiana 47907, USA
| | - Michael J Manfra
- Department of Physics and Astronomy, Purdue University, West Lafayette, Indiana 47907, USA
| | - Ikufumi Katayama
- Department of Physics, Graduate School of Engineering Science, Yokohama National University, Yokohama 240-8501, Japan
| | - Jun Takeda
- Department of Physics, Graduate School of Engineering Science, Yokohama National University, Yokohama 240-8501, Japan
| | - Junichiro Kono
- Department of Electrical and Computer Engineering, Rice University, Houston, Texas 77005, USA
- Department of Physics and Astronomy, Rice University, Houston, Texas 77005, USA
- Department of Material Science and NanoEngineering, Rice University, Houston, Texas 77005, USA
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3
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Liu X, Yi J, Li Q, Yang S, Bao W, Ropp C, Lan S, Wang Y, Zhang X. Nonlinear Optics at Excited States of Exciton Polaritons in Two-Dimensional Atomic Crystals. NANO LETTERS 2020; 20:1676-1685. [PMID: 31995388 DOI: 10.1021/acs.nanolett.9b04811] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
Exciton polaritons (EPs) are partial-light partial-matter quasiparticles in semiconductors demonstrating striking quantum phenomena such as Bose-Einstein condensation and single-photon nonlinearity. In these phenomena, the governing process is the EP relaxation into the ground states upon excitation, where various mechanisms are extensively investigated with thermodynamic limits. However, the relaxation process becomes drastically different and could significantly advance the understanding of EP dynamics for these quantum phenomena, when excited states of EPs are involved. Here, for the first time, we observe nonlinear optical responses at the EP excited states in a monolayer tungsten disulfide (WS2) microcavity, including dark excited states and dynamically metastable upper polariton bands. The nonlinear optics leads to unique emissions of ground states with prominent valley degree of freedom (DOF) via an anomalous relaxation process, which is applicable to a wide range of semiconductors from monolayer transition metal dichalcogenides (TMDs) to emerging halide perovskites. This work promises possible approaches to challenging experiments such as valley polariton condensation. Moreover, it also constructs a valley-dependent solid-state three-level system for terahertz photonics and stimulated Raman adiabatic passage.
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Affiliation(s)
- Xiaoze Liu
- Nanoscale Science and Engineering Center, University of California, Berkeley, Berkeley, California 94720, United States
- School of Physics and Technology, Wuhan University, Wuhan, Hubei, 430072, PR China
| | - Jun Yi
- Nanoscale Science and Engineering Center, University of California, Berkeley, Berkeley, California 94720, United States
| | - Quanwei Li
- Nanoscale Science and Engineering Center, University of California, Berkeley, Berkeley, California 94720, United States
| | - Sui Yang
- Nanoscale Science and Engineering Center, University of California, Berkeley, Berkeley, California 94720, United States
| | - Wei Bao
- Nanoscale Science and Engineering Center, University of California, Berkeley, Berkeley, California 94720, United States
| | - Chad Ropp
- Nanoscale Science and Engineering Center, University of California, Berkeley, Berkeley, California 94720, United States
| | - Shoufeng Lan
- Nanoscale Science and Engineering Center, University of California, Berkeley, Berkeley, California 94720, United States
| | - Yuan Wang
- Nanoscale Science and Engineering Center, University of California, Berkeley, Berkeley, California 94720, United States
| | - Xiang Zhang
- Nanoscale Science and Engineering Center, University of California, Berkeley, Berkeley, California 94720, United States
- Faculties of Sciences and Engineering, University of Hong Kong, Hong Kong, PR China
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Zhang Q, Wang Y, Gao W, Long Z, Watson JD, Manfra MJ, Belyanin A, Kono J. Stability of High-Density Two-Dimensional Excitons against a Mott Transition in High Magnetic Fields Probed by Coherent Terahertz Spectroscopy. PHYSICAL REVIEW LETTERS 2016; 117:207402. [PMID: 27886470 DOI: 10.1103/physrevlett.117.207402] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/27/2016] [Indexed: 06/06/2023]
Abstract
We have performed time-resolved terahertz absorption measurements on photoexcited electron-hole pairs in undoped GaAs quantum wells in magnetic fields. We probed both unbound- and bound-carrier responses via cyclotron resonance and intraexciton resonance, respectively. The stability of excitons, monitored as the pair density was systematically increased, was found to dramatically increase with increasing magnetic field. Specifically, the 1s-2p_{-} intraexciton transition at 9 T persisted up to the highest density, whereas the 1s-2p feature at 0 T was quickly replaced by a free-carrier Drude response. Interestingly, at 9 T, the 1s-2p_{-} peak was replaced by free-hole cyclotron resonance at high temperatures, indicating that 2D magnetoexcitons do dissociate under thermal excitation, even though they are stable against a density-driven Mott transition.
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Affiliation(s)
- Qi Zhang
- Department of Electrical and Computer Engineering, Rice University, Houston, Texas 77005, USA
| | - Yongrui Wang
- Department of Physics and Astronomy, Texas A&M University, College Station, Texas 77843, USA
| | - Weilu Gao
- Department of Electrical and Computer Engineering, Rice University, Houston, Texas 77005, USA
| | - Zhongqu Long
- Department of Physics and Astronomy, Texas A&M University, College Station, Texas 77843, USA
| | - John D Watson
- Department of Physics and Astronomy, Station Q Purdue, and Birck Nanotechnology Center, Purdue University, West Lafayette, Indiana 47907, USA
| | - Michael J Manfra
- Department of Physics and Astronomy, Station Q Purdue, and Birck Nanotechnology Center, Purdue University, West Lafayette, Indiana 47907, USA
- School of Materials Engineering and School of Electrical and Computer Engineering, Purdue University, West Lafayette, Indiana 47907, USA
| | - Alexey Belyanin
- Department of Physics and Astronomy, Texas A&M University, College Station, Texas 77843, USA
| | - Junichiro Kono
- Department of Electrical and Computer Engineering, Rice University, Houston, Texas 77005, USA
- Department of Physics and Astronomy, Rice University, Houston, Texas 77005, USA
- Department of Materials Science and NanoEngineering, Rice University, Houston, Texas 77005, USA
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Allodi MA, Finneran IA, Blake GA. Nonlinear terahertz coherent excitation of vibrational modes of liquids. J Chem Phys 2016; 143:234204. [PMID: 26696055 DOI: 10.1063/1.4938165] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
We report the first coherent excitation of intramolecular vibrational modes via the nonlinear interaction of a TeraHertz (THz) light field with molecular liquids. A terahertz-terahertz-Raman pulse sequence prepares the coherences with a broadband, high-energy, (sub)picosecond terahertz pulse, that are then measured in a terahertz Kerr effect spectrometer via phase-sensitive, heterodyne detection with an optical pulse. The spectrometer reported here has broader terahertz frequency coverage, and an increased sensitivity relative to previously reported terahertz Kerr effect experiments. Vibrational coherences are observed in liquid diiodomethane at 3.66 THz (122 cm(-1)), and in carbon tetrachloride at 6.50 THz (217 cm(-1)), in exact agreement with literature values of those intramolecular modes. This work opens the door to 2D spectroscopies, nonlinear in terahertz field, that can study the dynamics of condensed-phase molecular systems, as well as coherent control at terahertz frequencies.
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Affiliation(s)
- Marco A Allodi
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, USA
| | - Ian A Finneran
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, USA
| | - Geoffrey A Blake
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, USA
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Tseng F, Simsek E, Gunlycke D. Using dark states for exciton storage in transition-metal dichalcogenides. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2016; 28:034005. [PMID: 26704568 DOI: 10.1088/0953-8984/28/3/034005] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
Abstract
We explore the possibility of storing excitons in excitonic dark states in monolayer semiconducting transition-metal dichalcogenides. In addition to being optically inactive, these dark states require the electron and hole to be spatially separated, thus inhibiting electron/hole recombination and allowing exciton lifetimes to be extended. Based on an atomistic exciton model, we derive transition matrix elements and an approximate selection rule showing that excitons could be transitioned into and out of dark states using a pulsed infrared laser. For illustration, we also present exciton population scenarios based on a population analysis for different recombination decay constants. Longer exciton lifetimes could make these materials candidates for applications in energy management and quantum information processing.
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Affiliation(s)
- Frank Tseng
- National Research Council Research Associate, Washington DC 20001, USA. Naval Research Laboratory, Washington DC 20375, USA
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Schmidt J, Winnerl S, Seidel W, Bauer C, Gensch M, Schneider H, Helm M. Single-pulse picking at kHz repetition rates using a Ge plasma switch at the free-electron laser FELBE. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2015; 86:063103. [PMID: 26133824 DOI: 10.1063/1.4921864] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
We demonstrate a system for picking of mid-infrared and terahertz (THz) radiation pulses from the free-electron laser (FEL) FELBE operating at a repetition rate of 13 MHz. Single pulses are reflected by a dense electron-hole plasma in a Ge slab that is photoexcited by amplified near-infrared (NIR) laser systems operating at repetition rates of 1 kHz and 100 kHz, respectively. The peak intensity of picked pulses is up to 400 times larger than the peak intensity of residual pulses. The required NIR fluence for picking pulses at wavelengths in the range from 5 μm to 30 μm is discussed. In addition, we show that the reflectivity of the plasma decays on a time scale from 100 ps to 1 ns dependent on the wavelengths of the FEL and the NIR laser. The plasma switch enables experiments with the FEL that require high peak power but lower average power. Furthermore, the system is well suited to investigate processes with decay times in the μs to ms regime, i.e., much longer than the 77 ns long pulse repetition period of FELBE.
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Affiliation(s)
- J Schmidt
- Institute of Ion Beam Physics and Materials Research, Helmholtz-Zentrum Dresden-Rossendorf, 01314 Dresden, Germany
| | - S Winnerl
- Institute of Ion Beam Physics and Materials Research, Helmholtz-Zentrum Dresden-Rossendorf, 01314 Dresden, Germany
| | - W Seidel
- Institute of Ion Beam Physics and Materials Research, Helmholtz-Zentrum Dresden-Rossendorf, 01314 Dresden, Germany
| | - C Bauer
- Institute of Radiation Physics, Helmholtz-Zentrum Dresden-Rossendorf, 01314 Dresden, Germany
| | - M Gensch
- Institute of Ion Beam Physics and Materials Research, Helmholtz-Zentrum Dresden-Rossendorf, 01314 Dresden, Germany
| | - H Schneider
- Institute of Ion Beam Physics and Materials Research, Helmholtz-Zentrum Dresden-Rossendorf, 01314 Dresden, Germany
| | - M Helm
- Institute of Ion Beam Physics and Materials Research, Helmholtz-Zentrum Dresden-Rossendorf, 01314 Dresden, Germany
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Lange C, Maag T, Hohenleutner M, Baierl S, Schubert O, Edwards ERJ, Bougeard D, Woltersdorf G, Huber R. Extremely Nonperturbative Nonlinearities in GaAs Driven by Atomically Strong Terahertz Fields in Gold Metamaterials. PHYSICAL REVIEW LETTERS 2014; 113:227401. [PMID: 25494089 DOI: 10.1103/physrevlett.113.227401] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/18/2014] [Indexed: 06/04/2023]
Abstract
Terahertz near fields of gold metamaterials resonant at a frequency of 0.88 THz allow us to enter an extreme limit of nonperturbative ultrafast terahertz electronics: Fields reaching a ponderomotive energy in the keV range are exploited to drive nondestructive, quasistatic interband tunneling and impact ionization in undoped bulk GaAs, injecting electron-hole plasmas with densities in excess of 10^{19} cm^{-3}. This process causes bright luminescence at energies up to 0.5 eV above the band gap and induces a complete switch-off of the metamaterial resonance accompanied by self-amplitude-modulation of transmitted few-cycle terahertz transients. Our results pave the way towards highly nonlinear terahertz optics and optoelectronic nanocircuitry with subpicosecond switching times.
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Affiliation(s)
- C Lange
- Department of Physics, University of Regensburg, 93040 Regensburg, Germany
| | - T Maag
- Department of Physics, University of Regensburg, 93040 Regensburg, Germany
| | - M Hohenleutner
- Department of Physics, University of Regensburg, 93040 Regensburg, Germany
| | - S Baierl
- Department of Physics, University of Regensburg, 93040 Regensburg, Germany
| | - O Schubert
- Department of Physics, University of Regensburg, 93040 Regensburg, Germany
| | - E R J Edwards
- Department of Physics, Martin-Luther-University Halle-Wittenberg, 06120 Halle, Germany
| | - D Bougeard
- Department of Physics, University of Regensburg, 93040 Regensburg, Germany
| | - G Woltersdorf
- Department of Physics, Martin-Luther-University Halle-Wittenberg, 06120 Halle, Germany
| | - R Huber
- Department of Physics, University of Regensburg, 93040 Regensburg, Germany
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