Speaker
Dr
Robert Konik
(Brookhaven National Laboratory, USA)
Description
Abstract: We consider quantum quenches in one
dimensional Bose gases where we prepare the gas in the
ground state of a parabolic trap and then release it into a
small cosine potential. This cosine potential breaks the
integrability of the 1D gas which absent the potential is
described by the Lieb-Liniger model. We explore the
consequences of this cosine potential on the thermalization
of the gas. We argue that the integrability breaking of the
cosine does not immediately lead to ergodicity inasmuch as
we demonstrate that there are residual quasi-conserved
quantities post-quench. We demonstrate that the quality of
this quasi-conservation can be made arbitrarily good.