Ergodicity Breaking Transition in Zero Dimensions

Jan Šuntajs and Lev Vidmar
Phys. Rev. Lett. 129, 060602 – Published 5 August 2022
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Abstract

It is of great current interest to establish toy models of ergodicity breaking transitions in quantum many-body systems. Here, we study a model that is expected to exhibit an ergodic to nonergodic transition in the thermodynamic limit upon tuning the coupling between an ergodic quantum dot and distant particles with spin-1/2. The model is effectively zero dimensional; however, a variant of the model was proposed by De Roeck and Huveneers to describe the avalanche mechanism of ergodicity breaking transition in one-dimensional disordered spin chains. We show that exact numerical results based on the spectral form factor calculation accurately agree with theoretical predictions, and hence unambiguously confirm existence of the ergodicity breaking transition in this model. We benchmark specific properties that represent hallmarks of the ergodicity breaking transition in finite systems.

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  • Received 22 March 2022
  • Accepted 11 July 2022

DOI:https://doi.org/10.1103/PhysRevLett.129.060602

© 2022 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Jan Šuntajs and Lev Vidmar

  • Department of Theoretical Physics, J. Stefan Institute, SI-1000 Ljubljana, Slovenia and Department of Physics, Faculty of Mathematics and Physics, University of Ljubljana, SI-1000 Ljubljana, Slovenia

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Issue

Vol. 129, Iss. 6 — 5 August 2022

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