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Signatures of quantum chaos in the dynamics of bipartite fluctuations

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  • Wang, Qian

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.

Suggested Citation

  • Wang, Qian, 2020. "Signatures of quantum chaos in the dynamics of bipartite fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 554(C).
    • Handle: RePEc:eee:phsmap:v:554:y:2020:i:c:s0378437120301059
    DOI: 10.1016/j.physa.2020.124321
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    Cited by:

    1. Dong, Youheng & Zhao, Geng, 2021. "A spatiotemporal chaotic system based on pseudo-random coupled map lattices and elementary cellular automata," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).

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