Dynamical route to ergodicity and quantum scarring in kicked coupled top

• URL: http://arxiv.org/abs/2104.15093v1
• Date: Fri, 30 Apr 2021 16:19:26 GMT
• Title: Dynamical route to ergodicity and quantum scarring in kicked coupled top
• Authors: Debabrata Mondal, Sudip Sinha, and Subhasis Sinha
• Abstract summary: We discuss the manifestation of phase space dynamics on local ergodic behavior of its quantum counterpart and quantum scarring phenomena. A transition to chaos occurs by increasing the kicking strength, and in the mixed phase space, the islands of regular motions within the chaotic sea clearly exhibit deviation from ergodicity. Interestingly, the reminiscence of unstable orbits and fixed points can be identified as scars in quantum states, exhibiting athermal behavior and violation of Berry's conjecture for ergodic states.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Unlike classical system, understanding ergodicity from phase space mixing remains unclear for interacting quantum systems due to the absence of phase space trajectories. By considering an interacting spin model known as kicked coupled top, we elucidate the manifestation of phase space dynamics on local ergodic behavior of its quantum counterpart and quantum scarring phenomena. A transition to chaos occurs by increasing the kicking strength, and in the mixed phase space, the islands of regular motions within the chaotic sea clearly exhibit deviation from ergodicity, which we quantify from entanglement entropy and survival probability. Interestingly, the reminiscence of unstable orbits and fixed points can be identified as scars in quantum states, exhibiting athermal behavior and violation of Berry's conjecture for ergodic states. We also discuss the detection of quantum scars by a newly developed method of 'out-of-time-order correlators', which has experimental relevance.

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