Prethermalization to thermalization crossover in a dilute Bose gas following an interaction ramp

Mathias Van Regemortel, Hadrien Kurkjian, Michiel Wouters, and Iacopo Carusotto
Phys. Rev. A 98, 053612 – Published 8 November 2018

Abstract

The dynamics of a weakly interacting Bose gas at low temperatures is close to integrable due to the approximate quadratic nature of the many-body Hamiltonian. While the short-time physics after an abrupt ramp of the interaction constant is dominated by integrable dynamics, integrability is broken at longer times by higher-order interaction terms in the Bogoliubov Hamiltonian, in particular, by Beliaev-Landau scatterings involving three quasiparticles. The two-stage relaxation process is highlighted in the evolution of local observables such as the density-density correlation function: an integrable dephasing mechanism leads the system to a prethermal stage, followed by true thermalization conveyed by quasiparticle collisions. Our results bring the crossover from prethermalization to thermalization within reach of current experiments with ultracold atomic gases.

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  • Received 20 March 2018

DOI:https://doi.org/10.1103/PhysRevA.98.053612

©2018 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalStatistical Physics & Thermodynamics

Authors & Affiliations

Mathias Van Regemortel*, Hadrien Kurkjian, and Michiel Wouters

  • TQC, Universiteit Antwerpen, Universiteitsplein 1, B-2610 Antwerpen, Belgium

Iacopo Carusotto

  • INO-CNR BEC Center and Dipartimento di Fisica, Università di Trento, via Sommarive 14, 38123 Povo, Italy

  • *Mathias.VanRegemortel@uantwerpen.be

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Issue

Vol. 98, Iss. 5 — November 2018

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