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_2g2.
Highlights
As we argued in [56], the physical properties of the post-quench stationary state reached in our quench protocol could be probed in ultracold atoms experiments, and the multi-particle bound states observed by the presence of different“light-cones” in the spreading of local correlations following a local quantum quench [71]
As the systems size L grows, the centres of the strings associated with an energy eigenstate become a dense set on the real line and in the thermodynamic limit are described by smooth distribution function
We have considered quantum quenches from an ideal Bose condensate to the one-dimensional Lieb-Liniger model with arbitrary attractive interactions
Summary
Correlated many-body quantum systems are often outside the range of applicability of standard perturbative methods. While being at the root of many interesting and sometimes surprising physical effects, this results in huge computational challenges, which are most prominent in the study of the non-equilibrium dynamics of many-body quantum systems. This active field of research has attracted increasing attention over the last decade, due to the enormous experimental advances in cold atomic physics [1,2,3]. A different behaviour is observed for integrable quantum systems, where an infinite set of local conserved charges constrains the non-equilibrium dynamics. For the sake of clarity, some technical aspects of our work are consigned to several appendices
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
