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
ABI
Abstract
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> .