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

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.

Neural Networks and Reservoir Computing Neural dynamics and brain function Quantum chaos and dynamical systems

View graph Source

Paper

Similar papers

Localization phenomena in the random XXZ spin chainAlexander Elgart, Abel Klein2025 · arXiv (Cornell University) In Library

Understanding the propagation of excitations in quantum spin chains with different kind of interactionsAlejandro Ferrón, Pablo Serra, Omar Osenda2021 · arXiv (Cornell University) In Library

Engineered dissipation induced entanglement transition in quantum spin chains: from logarithmic growth to area lawThomas Botzung, Sebastian Diehl, Markus Müller2021 · Kölner Universitäts PublikationsServer (Universität zu Köln) In Library

Predicting Critical Phases from Entanglement Dynamics in XXZ Alternating ChainKeshav Das Agarwal, Leela Ganesh Chandra Lakkaraju, Aditi Sen De2021 · arXiv (Cornell University) In Library

Ballistic conductance with and without disorder in a boundary-driven XXZ spin chainAdam J. McRoberts, Roderich Moessner2024 · arXiv (Cornell University) In Library

Two-sites’ spin chain as a good statistical representative of an infinite oneF. Pennini, A. Plastino2021 · Results in Physics In Library

A method to discriminate between localized and chaotic quantum systemsYoussef Aziz Alaoui, B. Laburthe-Tolra2023 · arXiv (Cornell University) In Library

Fuzzy Spheres in Stringy Matrix Models: Quantifying Chaos in a Mixed Phase SpacePaolo Amore, Leopoldo A. Pando Zayas, Juan F. Pedraza et al.2024 · arXiv (Cornell University) In Library

Phase structure and machine learning identification in one dimensional systems with power law correlated disorder and long range hoppingMohammad Pouranvari2025 · Scientific Reports · 0 citations In Library

Interpretable machine learning study of the many-body localization transition in disordered quantum Ising spin chainsWei Zhang, Lei Wang, Ziqiang Wang2018 · Physical review B · 30 citations In Library

Source of record

OpenAlex

44B

Welcome.

This panel sticks with you. Pick anything below and it opens right beside it, so you can dig through 60,000-plus records without ever losing your spot here.

Travel 44B

LibraryPapers, policy, standards, statute LabsEvery organization building AI ModelsIntelligence, price, and speed BenchmarksThe evaluation catalog IncidentsAI failures and harms SearchOne field across everything DashboardThe state of AI accountability in NY 44B RegistryThe Art. 44-B compliance portal