Probabilistic Hysteresis in Integrable and Chaotic Isolated Hamiltonian Systems

Ralf Bürkle, Amichay Vardi, Doron Cohen, and James R. Anglin
Phys. Rev. Lett. 123, 114101 – Published 13 September 2019
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Abstract

We propose currently feasible experiments using small, isolated systems of ultracold atoms to investigate the effects of dynamical chaos in the microscopic onset of irreversibility. A control parameter is tuned past a critical value, then back to its initial value; hysteresis appears as a finite probability that the atoms fail to return to their initial state even when the parameter sweep is arbitrarily slow. We show that an episode of chaotic dynamics during part of the sweep time produces distinctive features in the distribution of final states that will be clearly observable in experiments.

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  • Received 31 March 2019
  • Revised 3 July 2019

DOI:https://doi.org/10.1103/PhysRevLett.123.114101

© 2019 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
  1. Physical Systems
Condensed Matter, Materials & Applied PhysicsNonlinear Dynamics

Authors & Affiliations

Ralf Bürkle1, Amichay Vardi2, Doron Cohen3, and James R. Anglin1

  • 1State Research Center OPTIMAS and Fachbereich Physik, Technische Universität Kaiserslautern, D-67663 Kaiserslautern, Germany
  • 2Department of Chemistry, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel
  • 3Department of Physics, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel

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Issue

Vol. 123, Iss. 11 — 13 September 2019

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