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Thermalization dynamics of two correlated bosonic quantum wires after a split

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. http://resolver.caltech.edu/CaltechAUTHORS:20180411-114458960

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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:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevA.97.043611DOIArticle
https://arxiv.org/abs/1801.05819arXivDiscussion Paper
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, IQIM
Funders:
Funding AgencyGrant Number
Nanosystems Initiative MunichUNSPECIFIED
Deutsche Forschungsgemeinschaft (DFG)ZUK 81
Deutsche Forschungsgemeinschaft (DFG)CRC 1238
European Research Council (ERC)647434
Alexander von Humboldt FoundationUNSPECIFIED
European Research Council (ERC)320975
Record Number:CaltechAUTHORS:20180411-114458960
Persistent URL:http://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:11 Apr 2018 20:26

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