Quench between a Mott insulator and a Lieb-Liniger liquid
arXiv:1406.4902 · doi:10.1103/PhysRevA.90.043626
Abstract
In this work we study a quench between a Mott insulator and a repulsive Lieb-Liniger liquid. We find explicitly the stationary state when a long time has passed after the quench. It is given by a GGE density matrix which we completely characterize, calculating the quasiparticle density describing the system after the quench. In the long time limit we find an explicit form for the local three body density density density correlation function and the asymptotic long distance limit of the density density correlation function. The later is shown to have a Gaussian decay at large distances.
4 pages, 1 figure
References in corpus (10)
- Many-Body Physics with Ultracold Gases
- Thermalization and its mechanism for generic isolated quantum systems
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- The Luttinger model following a sudden interaction switch-on
- Dynamical phase transition in correlated fermionic lattice systems
- Exact relaxation in a class of non-equilibrium quantum lattice systems
- Dephasing and the steady state in quantum many-particle systems
- Quantum quench dynamics of the Luttinger model
- Generalized TBA and generalized Gibbs
- Quantum quenches from integrability: the fermionic pairing model