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Dynamical localization in a non-Hermitian Floquet synthetic system |
| Han Ke(可汗)1, Jiaming Zhang(张嘉明)1, Liang Huo(霍良)2, and Wen-Lei Zhao(赵文垒)1,† |
1 School of Science, Jiangxi University of Science and Technology, Ganzhou 341000, China;
2 School of Information Engineering, Jiangxi University of Science and Technology, Ganzhou 341000, China |
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Abstract We investigate the non-Hermitian effects on quantum diffusion in a kicked rotor model where the complex kicking potential is quasi-periodically modulated in the time domain. The synthetic space with arbitrary dimension can be created by incorporating incommensurate frequencies in the quasi-periodical modulation. In the Hermitian case, strong kicking induces the chaotic diffusion in the four-dimension momentum space characterized by linear growth of mean energy. We find that the quantum coherence in deep non-Hermitian regime can effectively suppress the chaotic diffusion and hence result in the emergence of dynamical localization. Moreover, the extent of dynamical localization is dramatically enhanced by increasing the non-Hermitian parameter. Interestingly, the quasi-energies become complex when the non-Hermitian parameter exceeds a certain threshold value. The quantum state will finally evolve to a quasi-eigenstate for which the imaginary part of its quasi-energy is large most. The exponential localization length decreases with the increase of the non-Hermitian parameter, unveiling the underlying mechanism of the enhancement of the dynamical localization by non-Hermiticity.
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Received: 19 February 2024
Revised: 20 March 2024
Accepted manuscript online: 22 March 2024
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PACS:
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05.45.-a
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(Nonlinear dynamics and chaos)
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05.45.Mt
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(Quantum chaos; semiclassical methods)
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05.45.Pq
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(Numerical simulations of chaotic systems)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 12065009 and 12365002) and the Science and Technology Planning Project of Jiangxi Province of China (Grant Nos. 20224ACB201006 and 20224BAB201023). |
Corresponding Authors:
Wen-Lei Zhao
E-mail: wlzhao@jxust.edu.cn
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Cite this article:
Han Ke(可汗), Jiaming Zhang(张嘉明), Liang Huo(霍良), and Wen-Lei Zhao(赵文垒) Dynamical localization in a non-Hermitian Floquet synthetic system 2024 Chin. Phys. B 33 050507
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