Signatures of quantum chaos in the dynamics of bipartite fluctuations

Qian Wang

Physica A: Statistical Mechanics and its Applications, 2020, vol. 554, issue C

Abstract: We study the signatures of quantum chaos by using the concept of bipartite fluctuations in the kicked two-site Bose–Hubbard model, which can be mapped to the well-studied kicked top model. By investigating the dynamics of bipartite fluctuations, we find that the evolution of bipartite fluctuations depends strongly on the initial conditions. This allows us to identify the signatures of quantum chaos through the dynamical characters of bipartite fluctuations. We further demonstrate that the evolution of bipartite fluctuations is closely related to the localization property of the evolved state in the particle number basis. Finally, we define the bipartite fluctuations power and show that it might be used as an indicator to identify the global chaos, The ability of this quantity to probe the quantum chaos is confirmed by comparing with the classical Lyapunov exponent.

Keywords: Bipartite fluctuations; Kicked two-site Bose–Hubbard model; Quantum chaos; Integrability-chaos transition (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:554:y:2020:i:c:s0378437120301059

DOI: 10.1016/j.physa.2020.124321

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