Quench dynamics of the interacting Bose gas in one dimension

Abstract

We obtain an exact expression for the time evolution of the interacting Bose gas following a quench from a generic initial state using the Yudson representation for integrable systems. We study the time evolution of the density and noise correlation for a small number of bosons and their asymptotic behavior for any number. We show that for any value of the coupling, as long as it is repulsive, the system asymptotes towards a strongly repulsive gas, while for any value of an attractive coupling the long time behavior is dominated by the maximal bound state. This occurs independently of the initial state and can be viewed as an emerging "dynamic universality".

5 pages, 8 figures. Some pictures and captions updated

References in corpus (5)

• Many-Body Physics with Ultracold Gases
• Thermalization and its mechanism for generic isolated quantum systems
• Breakdown of thermalization in finite one-dimensional systems
• Free expansion of a Lieb-Liniger gas: Asymptotic form of the wave functions
• Dynamics of pair correlations in the attractive Lieb-Liniger gas

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