Destruction of long-range order by quenching of the hopping range in one dimension

Masaki Tezuka, Antonio M. García-García, and Miguel A. Cazalilla
Phys. Rev. A 90, 053618 – Published 17 November 2014

Abstract

We study the dynamics in a one-dimensional hard-core Bose gas with power-law hopping after an abrupt reduction of the hopping range using the time-dependent density-matrix renormalization-group and bosonization techniques. In particular, we focus on the destruction of the Bose-Einstein condensate (BEC), which is present in the initial state in the thermodynamic limit. We argue that this type of quench is akin to a sudden reduction in the effective dimensionality d of the system (from d>1 to d=1). We identify two regimes in the evolution of the BEC fraction. For short times the decay of the BEC fraction is Gaussian while for intermediate to long times it is well described by a stretched exponential with an exponent that depends on the initial effective dimensionality of the system. These results are potentially relevant for cold trapped-ion experiments which can simulate an equivalent of hard-core bosons, i.e., spins, with tunable long-range interactions.

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  • Received 20 July 2014

DOI:https://doi.org/10.1103/PhysRevA.90.053618

©2014 American Physical Society

Authors & Affiliations

Masaki Tezuka1,*, Antonio M. García-García2,3, and Miguel A. Cazalilla4

  • 1Department of Physics, Kyoto University, Kitashirakawa, Sakyo-ku, Kyoto 606-8502, Japan
  • 2Cavendish Laboratory, University of Cambridge, JJ Thomson Avenue, Cambridge CB3 0HE, England, United Kingdom
  • 3CFIF, Instituto Superior Técnico, Universidade de Lisboa, Avenida Rovisco Pais, 1049-001 Lisboa, Portugal
  • 4Department of Physics, National Tsing Hua University, and National Center for Theoretical Sciences, Hsinchu City 30013, Taiwan

  • *tezuka@scphys.kyoto-u.ac.jp

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Issue

Vol. 90, Iss. 5 — November 2014

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