We studied the non-equilibrium quench dynamics from free to hard-core 1D bosons in the presence of a hard-wall confining potential. The density profile and the two-point fermionic correlation function in the stationary state as well as their full time evolution was characterised. It was found that for long times the system relaxes to a uniform density profile, but the correlation function memorises the initial state with a stationary algebraic long-distance decay, which is opposite to the exponential behaviour found for the same quench in the periodic setup. We also compute the stationary bosonic two-point correlator which was found to decay exponentially for large distances. A two-step mechanism was shown to govern the time evolution; a quick approach to an almost stationary value was followed by a slow algebraic relaxation to the true stationary state.
|Titolo:||Interaction quench in a trapped 1D Bose gas|
|Autori:||Mazza, P. P.; Collura, M.; Kormos, M.; Calabrese, P.|
|Rivista:||JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT|
|Data di pubblicazione:||2014|
|Digital Object Identifier (DOI):||10.1088/1742-5468/2014/11/P11016|
|Appare nelle tipologie:||1.1 Journal article|