Chaos and complexity in quantum mechanics
Chaos and complexity in quantum mechanics
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DOI：
10.1103/physrevd.101.026021
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发表时间：
2020-01-29
影响因子：
5
通讯作者：
Murugan, Jeff
中科院分区：
文献类型：
--
作者：
Ali, Tibra;Bhattacharyya, Arpan;Murugan, Jeff
我们提出了一种新的量子混沌诊断方法。我们证明，特定类型目标状态的复杂性的时间演化可以提供关于经典李雅普诺夫指数和扰乱时间的等效信息作为乱序相关器。此外，对于可以通过调整相互作用哈密顿量的耦合常数来从规则状态切换到不稳定（混沌）状态的系统，我们发现复杂性定义了新的时间尺度。我们将这个时间尺度解释为记录系统何时从规则行为转变为混沌行为。
We propose a new diagnostic for quantum chaos. We show that the time evolution of complexity for a particular type of target state can provide equivalent information about the classical Lyapunov exponent and scrambling time as out-of-time-order correlators. Moreover, for systems that can be switched from a regular to unstable (chaotic) regime by a tuning of the coupling constant of the interaction Hamiltonian, we find that the complexity defines a new time scale. We interpret this time scale as recording when the system makes the transition from regular to chaotic behavior.