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Kibble-Zurek scaling of the one-dimensional Bose-Hubbard model at finite temperatures

Werner Weiss, Matthias Gerster, Daniel Jaschke, Pietro Silvi, and Simone Montangero
Phys. Rev. A 98, 063601 – Published 3 December 2018

Abstract

We use tensor network methods—matrix product states, tree tensor networks, and locally purified tensor networks—to simulate the one-dimensional Bose-Hubbard model for zero and finite temperatures in experimentally accessible regimes. First we explore the effect of thermal fluctuations on the system ground state by characterizing its Mott and superfluid features. Then we study the behavior of the out-of-equilibrium dynamics induced by quenches of the hopping parameter. We confirm a Kibble-Zurek scaling for zero temperature and characterize the finite-temperature behavior, which we explain by means of a simple argument.

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  • Received 17 August 2018

DOI:https://doi.org/10.1103/PhysRevA.98.063601

©2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsGeneral Physics

Authors & Affiliations

Werner Weiss1,*, Matthias Gerster1, Daniel Jaschke2, Pietro Silvi3, and Simone Montangero1,4,5

  • 1Institute for Complex Quantum Systems & Center for Integrated Quantum Science and Technology, Ulm University, Albert-Einstein-Allee 11, 89069 Ulm, Germany
  • 2Department of Physics, Colorado School of Mines, Golden, Colorado 80401, USA
  • 3Institute for Theoretical Physics, Innsbruck University, A-6020 Innsbruck, Austria
  • 4Theoretische Physik, Universität des Saarlandes, D-66123 Saarbrücken, Germany
  • 5Dipartimento di Fisica e Astronomia “G. Galilei,” Università degli Studi di Padova, I-35131 Padova, Italy

  • *werner.weiss@uni-ulm.de

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Issue

Vol. 98, Iss. 6 — December 2018

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