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Quantum quenches to the attractive one-dimensional Bose gas: exact results

Lorenzo PiroliInternational School for Advanced StudiesPasquale CalabreseInternational School for Advanced StudiesFabian H. L. EßlerRudolf Peierls Centre for Theoretical Physics, University of Oxford
SciPost Physicsjournal2016en
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We study quantum quenches to the one-dimensional Bose gas with attractive interactions in the case when the initial state is an ideal one-dimensional Bose condensate. We focus on properties of the stationary state reached at late times after the quench. This displays a finite density of multi-particle bound states, whose rapidity distribution is determined exactly by means of the quench action method. We discuss the relevance of the multi-particle bound states for the physical properties of the system, computing in particular the stationary value of the local pair correlation function g_2 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:msub> <mml:mi>g</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:math> .

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