Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
arXiv:cond-mat/0607235 · doi:10.1103/PhysRevLett.98.180601
Abstract
We investigate the time evolution of correlations in the Bose-Hubbard model following a quench from the superfluid to the Mott insulating phase. For large values of the final interaction strength the system approaches a distinctly non-equilibrium steady state that bears strong memory of the initial conditions. In contrast, when the final interaction strength is comparable to the hopping, the correlations are rather well approximated by those at thermal equilibrium. The existence of two distinct non-equilibrium regimes is surprising given the non-integrability of the Bose-Hubbard model. We relate this phenomena to the role of quasi-particle interactions in the Mott insulating state.
References in corpus (7)
- Real time evolution using the density matrix renormalization group
- The ALPS project release 1.3: open source software for strongly correlated systems
- The Luttinger model following a sudden interaction switch-on
- Quench dynamics across quantum critical points
- Generalized Directed Loop Method for Quantum Monte Carlo Simulations
- Sweeping from the superfluid to Mott phase in the Bose-Hubbard model
- Time evolution of one-dimensional Quantum Many Body Systems
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- Quantum fluctuations in trapped time-dependent Bose-Einstein condensates
- Solitons and vortices in an evolving Bose-Einstein condensate
- Adiabatic dynamics in a spin-1 chain with uniaxial single-spin anisotropy
- Coarse-Grained Finite-Temperature Theory for the Condensate in Optical Lattices
- Calorimetry of Bose-Einstein condensates
- Damped bounces of an isolated perfect quantum gas