Huber, Sebastian and Buchhold, Michael and Schmiedmayer, Jörg and Diehl, Sebastian (2018) Thermalization dynamics of two correlated bosonic quantum wires after a split. Physical Review A, 97 (4). Art. No. 043611. ISSN 2469-9926. doi:10.1103/PhysRevA.97.043611. https://resolver.caltech.edu/CaltechAUTHORS:20180411-114458960
![]() |
PDF
- Published Version
See Usage Policy. 898kB |
![]() |
PDF
- Submitted Version
See Usage Policy. 2MB |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20180411-114458960
Abstract
Cherently splitting a one-dimensional Bose gas provides an attractive, experimentally established platform to investigate many-body quantum dynamics. At short enough times, the dynamics is dominated by the dephasing of single quasiparticles, and well described by the relaxation towards a generalized Gibbs ensemble corresponding to the free Luttinger theory. At later times on the other hand, the approach to a thermal Gibbs ensemble is expected for a generic, interacting quantum system. Here, we go one step beyond the quadratic Luttinger theory and include the leading phonon-phonon interactions. By applying kinetic theory and nonequilibrium Dyson-Schwinger equations, we analyze the full relaxation dynamics beyond dephasing and determine the asymptotic thermalization process in the two-wire system for a symmetric splitting protocol. The major observables are the different phonon occupation functions and the experimentally accessible coherence factor, as well as the phase correlations between the two wires. We demonstrate that, depending on the splitting protocol, the presence of phonon collisions can have significant influence on the asymptotic evolution of these observables, which makes the corresponding thermalization dynamics experimentally accessible.
Item Type: | Article | ||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Related URLs: |
| ||||||||||||||
ORCID: |
| ||||||||||||||
Additional Information: | © 2018 American Physical Society. (Received 26 January 2018; published 11 April 2018) We thank B. Rauer for fruitful discussions. S.H. was supported by the German Excellence Initiative via the Nanosystems Initiative Munich (NIM). M.B. and S.D. acknowledge support by the German Research Foundation (DFG) through the Institutional Strategy of the University of Cologne within the German Excellence Initiative (ZUK 81), and S.D. support by the DFG within the CRC 1238 (project C04) and the European Research Council via ERC Grant Agreement No. 647434 (DOQS). M.B. acknowledges support from the Alexander von Humboldt foundation. J.S. acknowledges support by the European Research Council, ERC-AdG QuantumRelax (320975). | ||||||||||||||
Group: | Institute for Quantum Information and Matter | ||||||||||||||
Funders: |
| ||||||||||||||
Issue or Number: | 4 | ||||||||||||||
DOI: | 10.1103/PhysRevA.97.043611 | ||||||||||||||
Record Number: | CaltechAUTHORS:20180411-114458960 | ||||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180411-114458960 | ||||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||
ID Code: | 85752 | ||||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||||
Deposited By: | George Porter | ||||||||||||||
Deposited On: | 11 Apr 2018 20:26 | ||||||||||||||
Last Modified: | 15 Nov 2021 20:31 |
Repository Staff Only: item control page