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

2023/10/18 by Bojan Žunkovič, Žunkovič, Bojan, Antonio Zegarra +1 · 1 citation
Computer Science · Neuroscience · Physics and Astronomy · #FOS: Physical sciences #Neural Networks and Reservoir Computing #Neural dynamics and brain function #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.2310.11947

openalex publication_date 2023/10/18 · openalex created_date 2023/10/21 · openalex updated_date 2026/07/28

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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• Exact Solvability and Integrability Signatures in a Periodically Driven Infinite-Range Spin Chain: The Case of Floquet interval π/2

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