Coexistence of directed momentum current and ballistic energy diffusion in coupled non-Hermitian kicked rotors

• URL: http://arxiv.org/abs/2211.00831v1
• Date: Wed, 2 Nov 2022 02:17:13 GMT
• Title: Coexistence of directed momentum current and ballistic energy diffusion in coupled non-Hermitian kicked rotors
• Authors: Jian-Zheng Li, Wen-Lei Zhao, Jie Liu
• Abstract summary: We numerically investigate the quantum transport in a coupled kicked rotors with the $mathcalPT$-symmetric potential. We find that the spontaneous $mathcalPT$-symmetry breaking of wavefunctions emerges when the amplitude of the imaginary part of the complex potential is beyond a threshold value.
• Score: 3.508079697055564
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We numerically investigate the quantum transport in a coupled kicked rotors with the $\mathcal{PT}$-symmetric potential. We find that the spontaneous $\mathcal{PT}$-symmetry breaking of wavefunctions emerges when the amplitude of the imaginary part of the complex potential is beyond a threshold value, which can be modulated by the coupling strength effectively. In the regime of the $\mathcal{PT}$-symmetry breaking, the particles driven by the periodical kicks move unidirectionally in momentum space, indicating the emergence of a directed current. Meanwhile, with increasing the coupling strength, we find a transition from the ballistic energy diffusion to a kind of the modified ballistic energy diffusion where the width of the wavepacket also increases with time in a power law. Our findings suggest that the decoherence effect induced by the interplay between the inter-particle coupling and the non-Hermitian driving potential is responsible for these particular transport behaviors.

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