Quantum tight-binding chains with dissipative coupling

D. Mogilevtsev; G. Ya Slepyan; E. Garusov; S. Ya Kilin; N. Korolkova

doi:10.1088/1367-2630/17/4/043065

Quantum tight-binding chains with dissipative coupling

D. Mogilevtsev^*, G. Ya Slepyan, E. Garusov, S. Ya Kilin, N. Korolkova

^*Corresponding author for this work

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	043065
Number of pages	13
Journal	New Journal of Physics
Volume	17
DOIs	https://doi.org/10.1088/1367-2630/17/4/043065
Publication status	Published - 30 Apr 2015

Keywords

Spin chain
Dissipative coupling
Non-exponential decay
Random walk
Decoherence-free subspaces
Centers

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10.1088/1367-2630/17/4/043065

Korolcova_2015_NJP_Quantum_CC
© 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.
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EU FP7 STREP ICT iQIT: EU FP7 STREP ICT iQIT
Korolkova, N. (PI)
European Commission
1/10/11 → 31/03/15
Project: Standard

Cite this

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title = "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.",

keywords = "Spin chain, Dissipative coupling, Non-exponential decay, Random walk, Decoherence-free subspaces, Centers",

author = "D. Mogilevtsev and Slepyan, {G. Ya} and E. Garusov and Kilin, {S. Ya} and N. Korolkova",

note = "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: 31/03/2015",

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doi = "10.1088/1367-2630/17/4/043065",

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T1 - Quantum tight-binding chains with dissipative coupling

AU - Mogilevtsev, D.

AU - Slepyan, G. Ya

AU - Garusov, E.

AU - Kilin, S. Ya

AU - Korolkova, N.

N1 - 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: 31/03/2015

PY - 2015/4/30

Y1 - 2015/4/30

N2 - 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.

AB - 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.

KW - Spin chain

KW - Dissipative coupling

KW - Non-exponential decay

KW - Random walk

KW - Decoherence-free subspaces

KW - Centers

U2 - 10.1088/1367-2630/17/4/043065

DO - 10.1088/1367-2630/17/4/043065

M3 - Article

SN - 1367-2630

VL - 17

JO - New Journal of Physics

JF - New Journal of Physics

M1 - 043065

ER -

Quantum tight-binding chains with dissipative coupling

Abstract

Keywords

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Projects

EU FP7 STREP ICT iQIT: EU FP7 STREP ICT iQIT

Cite this