- Quantum quenches in 1D Bose Gases: Glimmers of Quantum KAM
- APS March Meeting 2014
- Bulletin of the American Physical Society
- Volume | Issue number
- 59 | 1
- Pages (from-to)
- Document type
- Meeting Abstract
- Faculty of Science (FNWI)
- Institute for Theoretical Physics Amsterdam (ITFA)
Using a numerical renormalization group based on exploiting an underlying exactly solvable non-relativistic theory, we study the out-of-equilibrium dynamics of a 1D Bose gas (as described by the Lieb-Liniger model) released from a parabolic trap into a weak cosine potential. The presence of the cosine potential breaks integrability and leads the formerly conserved charges of Lieb-Liniger to be time dependent. We however argue that from these charges we are able to construct approximately conserved quantities despite the presence of the cosine term. How good the time invariance of these quasi-conserved quantities is can be related to the strength of the post-quench cosine potential and the width of this perturbation in Fourier space. This gives then an analog in a quantum example to the classical KAM theorem.
- Proceedings title: APS March Meeting 2014: Monday-Friday, March 3-7, 2014; Denver, Colorado
Publisher: American Physical Society
Place of publication: College Park, MD
If you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, stating your reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it from the website. Please Ask the Library, or send a letter to: Library of the University of Amsterdam, Secretariat, Singel 425, 1012 WP Amsterdam, The Netherlands. You will be contacted as soon as possible.