2015
DOI: 10.1103/physreve.91.032119
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Quantum thermodynamics of general quantum processes

Abstract: Accurately describing work extraction from a quantum system is a central objective for the extension of thermodynamics to individual quantum systems. The concepts of work and heat are surprisingly subtle when generalizations are made to arbitrary quantum states. We formulate an operational thermodynamics suitable for application to an open quantum system undergoing quantum evolution under a general quantum process by which we mean a completely-positive and trace-preserving map. We derive an operational first l… Show more

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Cited by 105 publications
(122 citation statements)
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“…(34). We note that these theorems are often implicitly assumed while discussing quantum thermodynamics from the standpoint of CPTP maps, see [98,100,101] for examples.…”
Section: Three Theorems Involving Cptp Mapsmentioning
confidence: 99%
See 1 more Smart Citation
“…(34). We note that these theorems are often implicitly assumed while discussing quantum thermodynamics from the standpoint of CPTP maps, see [98,100,101] for examples.…”
Section: Three Theorems Involving Cptp Mapsmentioning
confidence: 99%
“…As was noted in the context of engines, the first law emerges naturally as a partitioning of the energy of the system in terms of heat and work. See [101] for a partitioning of internal energy change for CPTP processes. In the context of QTMs, for instance, this can be seen in Eq.…”
Section: Relationship To Laws Of Thermodynamicsmentioning
confidence: 99%
“…For a study of the role of coherence in specific machines see [53,57]. For additional studies of coherence in quantum thermodynamics see [30,32,36,52,[60][61][62][63][64].…”
Section: Introductionmentioning
confidence: 99%
“…In this scenario, the following question can be stated: is it possible to use the ADCE to extract work from the atomfield system? In order to address this issue, one can use the framework of quantum thermodynamics [41][42][43][44] -a field of physics seeking to establish a quantum version for thermodynamic principles and processes. Studies in quantum thermodynamics aim to introduce appropriate definitions of work and heat [45][46][47][48][49][50][51], the development of quantum thermal machines [52][53][54][55][56][57][58][59], the analysis of the heat transport [60][61][62][63][64][65] and the validity of the second law at the microscopic level [66][67][68][69][70][71][72], the study of the stochastic thermodynamics [73,74] and the fluctuation theorems [75][76][77][78][79][80], just to name a few.…”
Section: Introductionmentioning
confidence: 99%