One-dimensional density waves of ultracold bosons in an optical lattice

C. Kollath, U. Schollwöck, J. von Delft, and W. Zwerger
Phys. Rev. A 71, 053606 – Published 13 May 2005

Abstract

We investigate the propagation of density-wave packets in a Bose-Hubbard model using the adaptive time-dependent density-matrix renormalization group method. We discuss the decay of the amplitude with time and the dependence of the velocity on density, interaction strength, and the height of the perturbation in a numerically exact way, covering arbitrary interactions and amplitudes of the perturbation. In addition, we investigate the effect of self-steepening due to the amplitude dependence of the velocity and discuss the possibilities for an experimental detection of the moving wave packet in time-of-flight pictures. By comparing the sound velocity to theoretical predictions, we determine the limits of a Gross-Pitaevskii- or Bogoliubov-type description and the regime where repulsive one-dimensional Bose gases exhibit fermionic behavior.

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  • Received 16 November 2004

DOI:https://doi.org/10.1103/PhysRevA.71.053606

©2005 American Physical Society

Authors & Affiliations

C. Kollath

  • Institut für Theoretische Physik C, RWTH-Aachen, D-52056 Aachen, Germany and Sektion Physik, Ludwig-Maximilians-Universität, Theresienstrasse 37/III, D-80333 München, Germany

U. Schollwöck

  • Institut für Theoretische Physik C, RWTH-Aachen, D-52056 Aachen, Germany

J. von Delft

  • Sektion Physik, Ludwig-Maximilians-Universität, Theresienstrasse 37/III, D-80333 München, Germany

W. Zwerger

  • Institute for Theoretical Physics, Universität Innsbruck, Technikerstrasse 25, A-6020 Innsbruck, Austria

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Issue

Vol. 71, Iss. 5 — May 2005

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