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Interaction quenches in the one-dimensional Bose gas

机译:一维玻色气体中的相互作用淬灭

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摘要

The nonequilibrium dynamics of integrable systems are highly constrained by the conservation of certain charges. There is substantial evidence that after a quantum quench they do not thermalize but their asymptotic steady state can be described by a generalized Gibbs ensemble (GGE) built from the conserved charges. Most of the studies on the GGE so far have focused on models that can be mapped to quadratic systems, while analytic treatment in nonquadratic systems remained elusive. We obtain results on interaction quenches in a nonquadratic continuum system, the one-dimensional (1D) Bose gas described by the integrable Lieb-Liniger model. The direct implementation of the GGE prescription is prohibited by the divergence of the conserved charges, which we conjecture to be endemic to any continuum integrable systems with contact interactions undergoing a sudden quench. We compute local correlators for a noninteracting initial state and arbitrary final interactions as well as two-point functions for quenches to the Tonks-Girardeau regime. We show that in the long time limit integrability leads to significant deviations from the predictions of the grand canonical ensemble, allowing for an experimental verification in cold-atom systems.
机译:可积系统的非平衡动力学受到某些电荷守恒的极大限制。有大量证据表明,在量子猝灭之后,它们不会热化,但可以通过由守恒电荷构建的广义吉布斯合奏(GGE)来描述其渐近稳态。到目前为止,关于GGE的大多数研究都集中在可以映射到二次系统的模型上,而在非二次系统中的分析处理仍然难以捉摸。我们获得了在非二次连续体系统中的相互作用淬灭的结果,该积分是可积Lieb-Liniger模型描述的一维(1D)Bose气体。 GGE处方的直接实施受到保守电荷差异的限制,我们推测这对于接触相互作用突然猝灭的任何连续统可积系统都是地方性的。我们为非相互作用的初始状态和任意最终的相互作用以及对Tonks-Girardeau政权的淬灭的两点函数计算局部相关器。我们表明,在很长的时间范围内,可积性导致与大正则合奏的预测产生重大偏差,从而允许在冷原子系统中进行实验验证。

著录项

  • 来源
    《Physical review》 |2013年第20期|205131.1-205131.10|共10页
  • 作者单位

    Department of Physics and Astronomy, Rice University, Houston, Texas 77005, USA,Dipartimento di Fisica dell'Universitd di Pisa and INFN, 56127 Pisa, Italy,Department of Theoretical Physics, Budapest University of Technology and Economics, 1111 Budapest, Budafoki ut 8, Hungary,MTA-BME 'Momentum' Statistical Field Theory Research Group, 1111 Budapest, Budafoki ut 8, Hungary;

    Department of Physics and Astronomy, Rice University, Houston, Texas 77005, USA,Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA;

    Department of Physics and Astronomy, Rice University, Houston, Texas 77005, USA;

    Institute for Theoretical Physics, University of Amsterdam, Science Park 904, Postbus 94485,1090 GL Amsterdam, The Netherlands;

    Department of Physics and Astronomy, Rice University, Houston, Texas 77005, USA;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    integrable systems; matter waves;

    机译:可集成系统;物质波;

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