Non-equilibrium quantum mechanics has received considerable attentions in the last decade and in particular the dynamics observed after a quantum quench, when a global parameter of the Hamiltonian of the system is rapidly changed. We focus here on the post-quench time evolution of the simplest interacting integrable models as the Lieb-Liniger delta-Bose gas and the spin-1/2 XXZ spin chain. We address the problem of determining the steady state after a quench of the coupling constant and the time evolution towards equilibrium. We show how this can be implemented both via an exact expression for the overlaps between the eigenstates of the model and the initial state and by a set quasi-local conserved quantities which fixes the local correlation functions in the equilibrium state.

Jacopo De NardisTue, Feb 9

Non-equilibrium quantum mechanics has received considerable attentions in the last decade and in particular the dynamics observed after a quantum quench, when a global parameter of the Hamiltonian of the system is rapidly changed. We focus here on the post-quench time evolution of the simplest interacting integrable models as the Lieb-Liniger delta-Bose gas and the spin-1/2 XXZ spin chain. We address the problem of determining the steady state after a quench of the coupling constant and the time evolution towards equilibrium. We show how this can be implemented both via an exact expression for the overlaps between the eigenstates of the model and the initial state and by a set quasi-local conserved quantities which fixes the local correlation functions in the equilibrium state.