Non-hermitian quantum thermodynamics
Abstract
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 non-hermitian 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 non-hermitian tight-binding model.
- Authors:
-
- 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:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1255150
- Report Number(s):
- LA-UR-15-29023
Journal ID: ISSN 2045-2322; srep23408
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Scientific Reports
- Additional Journal Information:
- Journal Volume: 6; Journal ID: ISSN 2045-2322
- Publisher:
- Nature Publishing Group
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; Jarzynski equality; Carnot bound; quantum mechanics; theoretical physics; thermodynamics
Citation Formats
Gardas, Bartłomiej, Deffner, Sebastian, and Saxena, Avadh. Non-hermitian quantum thermodynamics. United States: N. p., 2016.
Web. doi:10.1038/srep23408.
Gardas, Bartłomiej, Deffner, Sebastian, & Saxena, Avadh. Non-hermitian quantum thermodynamics. United States. https://doi.org/10.1038/srep23408
Gardas, Bartłomiej, Deffner, Sebastian, and Saxena, Avadh. Tue .
"Non-hermitian quantum thermodynamics". United States. https://doi.org/10.1038/srep23408. https://www.osti.gov/servlets/purl/1255150.
@article{osti_1255150,
title = {Non-hermitian 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 non-hermitian 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 non-hermitian tight-binding model.},
doi = {10.1038/srep23408},
journal = {Scientific Reports},
number = ,
volume = 6,
place = {United States},
year = {Tue Mar 22 00:00:00 EDT 2016},
month = {Tue Mar 22 00:00:00 EDT 2016}
}
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