PIRSA:14050086

(Robert Konik) Glimmers of a Quantum KAM Theorem: Insights from Quantum Quenches in One Dimensional Bose Gases

(2014). (Robert Konik) Glimmers of a Quantum KAM Theorem: Insights from Quantum Quenches in One Dimensional Bose Gases. Perimeter Institute. https://pirsa.org/14050086

(Robert Konik) Glimmers of a Quantum KAM Theorem: Insights from Quantum Quenches in One Dimensional Bose Gases. Perimeter Institute, May. 16, 2014, https://pirsa.org/14050086 

          @misc{ pirsa_PIRSA:14050086,
            doi = {10.48660/14050086},
            url = {https://pirsa.org/14050086},
            author = {},
            keywords = {},
            language = {en},
            title = {(Robert Konik) Glimmers of a Quantum KAM Theorem: Insights from Quantum Quenches in One Dimensional Bose Gases},
            publisher = {Perimeter Institute},
            year = {2014},
            month = {may},
            note = {PIRSA:14050086 see, \url{https://pirsa.org}}
          }
Talk numberPIRSA:14050086
DOI10.48660/14050086
Collection
Talk Type Conference

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.