Quantum tight-binding chains with dissipative coupling
Abstract
We present a one-dimensional tight-binding chain of two-level systems coupled only through common dissipative Markovian reservoirs. This quantum chain can demonstrate anomalous thermodynamic behavior contradicting Fourier law. Population dynamics of individual systems of the chain is polynomial with the order determined by the initial state of the chain. The chain can simulate classically hard problems, such as multi-dimensional random walks.
Citation
Mogilevtsev , D , Slepyan , G Y , Garusov , E , Kilin , S Y & Korolkova , N 2015 , ' Quantum tight-binding chains with dissipative coupling ' New Journal of Physics , vol. 17 , 043065 . DOI: 10.1088/1367-2630/17/4/043065
Publication
New Journal of Physics
Status
Peer reviewed
ISSN
1367-2630Type
Journal article
Rights
© 2015 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence (http://creativecommons.org/licenses/by/3.0/). Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Description
GS acknowledges support from the EU FP7 projects FP7 People 2009 IRSES 247007 CACOMEL and FP7 People 2013 IRSES 612285 CANTOR. This work was also supported by the National Academy of Sciences of Belarus through the program 'Convergence', by the External Fellowship Program of the Russian Quantum Center at Skolkovo (D M, S K and E G) and by FAPESP grant 2014/21188-0 (D M), NK and DM acknowledge the support provided by the Scottish Universities Physics Alliance (SUPA). The research leading to these results has received funding from the European Community Seventh Framework Programme (FP7/2007-2013) under grant agreement n. 270843 (iQIT) Date of acceptance: 31/03/2015Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.