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Propagation front of correlations in an interacting Bose gas

Peter Barmettler, Dario Poletti, Marc Cheneau, and Corinna Kollath
Phys. Rev. A 85, 053625 – Published 17 May 2012
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Abstract

We analyze the quench dynamics of a one-dimensional bosonic Mott insulator and focus on the time evolution of density correlations. For these we identify a pronounced propagation front, the velocity of which, once correctly extrapolated at large distances, can serve as a quantitative characteristic of the many-body Hamiltonian. In particular, the velocity allows the weakly interacting regime, which is qualitatively well described by free bosons, to be distinguished from the strongly interacting one, in which pairs of distinct quasiparticles dominate the dynamics. In order to describe the latter case analytically, we introduce a general approximation to solve the Bose-Hubbard Hamiltonian based on the Jordan-Wigner fermionization of auxiliary particles. This approach can also be used to determine the ground-state properties. As a complement to the fermionization approach, we derive explicitly the time-dependent many-body state in the noninteracting limit and compare our results to numerical simulations in the whole range of interactions of the Bose-Hubbard model.

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  • Received 24 February 2012

DOI:https://doi.org/10.1103/PhysRevA.85.053625

©2012 American Physical Society

Synopsis

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Wave of Correlation

Published 17 May 2012

Theorists can now calculate the speed with which correlations travel in a chain of interacting atoms.

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Authors & Affiliations

Peter Barmettler1, Dario Poletti1, Marc Cheneau2, and Corinna Kollath1,3

  • 1Département de Physique Théorique, Université de Genève, 1211 Genève, Switzerland
  • 2Max-Planck-Institut für Quantenoptik, 85748 Garching, Germany
  • 3Centre de Physique Théorique, École Polytechnique, CNRS, 91128 Palaiseau, France

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Issue

Vol. 85, Iss. 5 — May 2012

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