Abstract
Phys. Rev. A 87, 053628 (2013) We describe a formulation for studying the quench dynamics of integrable
systems generalizing an approach by Yudson. We study the evolution of the
Lieb-Liniger model, a gas of interacting bosons moving on the continuous
infinite line and interacting via a short range potential. The formalism allows
us to quench the system from any initial state. We find that for any value of
repulsive coupling independently of the initial state the system asymptotes
towards a strongly repulsive gas, while for any value of attractive coupling,
the system forms a maximal bound state that dominates at longer times. In
either case the system equilibrates but does not thermalize. We compare this to
quenches in a Bose-Hubbard lattice and show that there, initial states
determine long-time dynamics independent of the sign of the coupling.