Nonhermitian quantum thermodynamics
Thermodynamics is the phenomenological theory of heat and work. Here we analyze to what extent quantum thermodynamic relations are immune to the underlying mathematical formulation of quantum mechanics. As a main result, we show that the Jarzynski equality holds true for all nonhermitian quantum systems with real spectrum. This equality expresses the second law of thermodynamics for isothermal processes arbitrarily far from equilibrium. In the quasistatic limit however, the second law leads to the Carnot bound which is fulfilled even if some eigenenergies are complex provided they appear in conjugate pairs. Lastly, we propose two setups to test our predictions, namely with strongly interacting excitons and photons in a semiconductor microcavity and in the nonhermitian tightbinding model.
 Authors:

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 Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of Silesia, Katowice (Poland)
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Publication Date:
 Report Number(s):
 LAUR1529023
Journal ID: ISSN 20452322; srep23408
 Grant/Contract Number:
 AC5206NA25396
 Type:
 Accepted Manuscript
 Journal Name:
 Scientific Reports
 Additional Journal Information:
 Journal Volume: 6; Journal ID: ISSN 20452322
 Publisher:
 Nature Publishing Group
 Research Org:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 74 ATOMIC AND MOLECULAR PHYSICS; Jarzynski equality; Carnot bound; quantum mechanics; theoretical physics; thermodynamics
 OSTI Identifier:
 1255150
Gardas, Bartłomiej, Deffner, Sebastian, and Saxena, Avadh. Nonhermitian quantum thermodynamics. United States: N. p.,
Web. doi:10.1038/srep23408.
Gardas, Bartłomiej, Deffner, Sebastian, & Saxena, Avadh. Nonhermitian quantum thermodynamics. United States. doi:10.1038/srep23408.
Gardas, Bartłomiej, Deffner, Sebastian, and Saxena, Avadh. 2016.
"Nonhermitian quantum thermodynamics". United States.
doi:10.1038/srep23408. https://www.osti.gov/servlets/purl/1255150.
@article{osti_1255150,
title = {Nonhermitian quantum thermodynamics},
author = {Gardas, Bartłomiej and Deffner, Sebastian and Saxena, Avadh},
abstractNote = {Thermodynamics is the phenomenological theory of heat and work. Here we analyze to what extent quantum thermodynamic relations are immune to the underlying mathematical formulation of quantum mechanics. As a main result, we show that the Jarzynski equality holds true for all nonhermitian quantum systems with real spectrum. This equality expresses the second law of thermodynamics for isothermal processes arbitrarily far from equilibrium. In the quasistatic limit however, the second law leads to the Carnot bound which is fulfilled even if some eigenenergies are complex provided they appear in conjugate pairs. Lastly, we propose two setups to test our predictions, namely with strongly interacting excitons and photons in a semiconductor microcavity and in the nonhermitian tightbinding model.},
doi = {10.1038/srep23408},
journal = {Scientific Reports},
number = ,
volume = 6,
place = {United States},
year = {2016},
month = {3}
}