Mean-field dynamics of an infinite-range interacting quantum system: chaos, dynamical phase transition, and localisation

• URL: http://arxiv.org/abs/2310.11947v2
• Date: Fri, 2 Feb 2024 14:00:29 GMT
• Title: Mean-field dynamics of an infinite-range interacting quantum system: chaos, dynamical phase transition, and localisation
• Authors: Bojan \v{Z}unkovi\v{c} and Antonio Zegarra
• Abstract summary: We investigate the dynamical properties of the XY spin 1/2 chain with infinite-range transverse interactions. We find non-vanishing finite-time Lyapunov exponents and intermittent behavior signaled by fast and slow entropy growth periods.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate the dynamical properties of the XY spin 1/2 chain with infinite-range transverse interactions and find a dynamical phase transition with a chaotic dynamical phase. In the latter, we find non-vanishing finite-time Lyapunov exponents and intermittent behavior signaled by fast and slow entropy growth periods. Further, we study the XY chain with a local self-consistent transverse field and observe a localization phase transition. We show that localization stabilizes the chaotic dynamical phase.

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