Non-hermitian quantum thermodynamics

Gardas, Bartłomiej; Deffner, Sebastian; Saxena, Avadh

doi:10.1038/srep23408

Non-hermitian quantum thermodynamics

Journal Article · Tue Mar 22 00:00:00 EDT 2016 · Scientific Reports

DOI:https://doi.org/10.1038/srep23408· OSTI ID:1255150

Gardas, Bartłomiej ^[1]; Deffner, Sebastian ^[2]; Saxena, Avadh ^[2]

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)

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.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1255150

Report Number(s):: LA-UR--15-29023; srep23408

Journal Information:: Scientific Reports, Journal Name: Scientific Reports Vol. 6; ISSN 2045-2322

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

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