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Momentum distribution and coherence of a weakly interacting Bose gas after a quench

Giovanni I. Martone, Pierre-Élie Larré, Alessandro Fabbri, and Nicolas Pavloff
Phys. Rev. A 98, 063617 – Published 12 December 2018

Abstract

We consider a weakly interacting uniform atomic Bose gas with a time-dependent nonlinear coupling constant. By developing a suitable Bogoliubov treatment we investigate the time evolution of several observables, including the momentum distribution, the degree of coherence in the system, and their dependence on dimensionality and temperature. We rigorously prove that the low-momentum Bogoliubov modes remain frozen during the whole evolution, while the high-momentum ones adiabatically follow the change in time of the interaction strength. At intermediate momenta we point out the occurrence of oscillations, which are analogous to Sakharov oscillations. We identify two wide classes of time-dependent behaviors of the coupling for which an exact solution of the problem can be found, allowing for an analytic computation of all the relevant observables. A special emphasis is put on the study of the coherence property of the system in one spatial dimension. We show that the system exhibits a smooth “light-cone effect,” with typically no prethermalization.

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  • Received 2 October 2018

DOI:https://doi.org/10.1103/PhysRevA.98.063617

©2018 American Physical Society

Physics Subject Headings (PhySH)

  1. Physical Systems
Atomic, Molecular & Optical

Authors & Affiliations

Giovanni I. Martone1, Pierre-Élie Larré2, Alessandro Fabbri3,4,5,6, and Nicolas Pavloff1

  • 1LPTMS, UMR 8626, CNRS, Univ. Paris-Sud, Université Paris-Saclay, 91405 Orsay, France
  • 2Laboratoire de Physique Théorique et Modélisation, Université de Cergy-Pontoise, CNRS, 2 Avenue Adolphe-Chauvin, 95302 Cergy-Pontoise CEDEX, France
  • 3Departamento de Física Teórica and IFIC, Universidad de Valencia-CSIC, C. Dr. Moliner 50, 46100 Burjassot, Spain
  • 4Centro Studi e Ricerche E. Fermi, Piazza del Viminale 1, 00184 Roma, Italy
  • 5Dipartimento di Fisica dell'Università di Bologna and INFN Sezione di Bologna, Via Irnerio 46, 40126 Bologna, Italy
  • 6Laboratoire de Physique Théorique, CNRS UMR 8627, Bât. 210, Univ. Paris-Sud, Université Paris-Saclay, 91405 Orsay Cedex, France

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Issue

Vol. 98, Iss. 6 — December 2018

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