Related papers: Finite time quantum-classical correspondence in quantum chaotic systems

Finite time quantum-classical correspondence in quantum chaotic systems

URL: http://arxiv.org/abs/2409.05596v1
Date: Mon, 9 Sep 2024 13:30:14 GMT
Title: Finite time quantum-classical correspondence in quantum chaotic systems
Authors: Qian Wang, Marko Robnik,
Abstract summary: We show that the dependence of the quantum chaotic measure on the chaoticity of finite time trajectories can be well captured by a function that is independent of the system. This strongly implies the universal validity of the finite time quantum-classical correspondence.
Score: 7.142158555793151
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Although the importance of the quantum-classical correspondence has been recognized in numerous studies of quantum chaos, whether it still holds for finite time dynamics remains less known. We address this question in this work by performing a detailed analysis of how the quantum chaotic measure relates to the chaoticity of the finite time classical trajectories. A good correspondence between them has been revealed in both time dependent and many-body systems. In particular, we show that the dependence of the quantum chaotic measure on the chaoticity of finite time trajectories can be well captured by a function that is independent of the system. This strongly implies the universal validity of the finite time quantum-classical correspondence. Our findings provide a deeper understanding of the quantum-classical correspondence and highlight the role of time for studying quantum ergodicity.

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