dorsal/arxiv
View SchemaEntropy and Temperature of a Quantum Carnot Engine
| Authors | C. M. Bender, D. C. Brody, B. K. Meister |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0101015 |
| URL | https://arxiv.org/abs/quant-ph/0101015 |
| DOI | 10.1098/rspa.2001.0928 |
| Journal | Proceedings of the Royal Society London A458, 1519-1526 (2002) |
Abstract
It is possible to extract work from a quantum-mechanical system whose dynamics is governed by a time-dependent cyclic Hamiltonian. An energy bath is required to operate such a quantum engine in place of the heat bath used to run a conventional classical thermodynamic heat engine. The effect of the energy bath is to maintain the expectation value of the system Hamiltonian during an isoenergetic expansion. It is shown that the existence of such a bath leads to equilibrium quantum states that maximise the von Neumann entropy. Quantum analogues of certain thermodynamic relations are obtained that allow one to define the temperature of the energy bath.
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"abstract": "It is possible to extract work from a quantum-mechanical system whose\ndynamics is governed by a time-dependent cyclic Hamiltonian. An energy bath is\nrequired to operate such a quantum engine in place of the heat bath used to run\na conventional classical thermodynamic heat engine. The effect of the energy\nbath is to maintain the expectation value of the system Hamiltonian during an\nisoenergetic expansion. It is shown that the existence of such a bath leads to\nequilibrium quantum states that maximise the von Neumann entropy. Quantum\nanalogues of certain thermodynamic relations are obtained that allow one to\ndefine the temperature of the energy bath.",
"arxiv_id": "quant-ph/0101015",
"authors": [
"C. M. Bender",
"D. C. Brody",
"B. K. Meister"
],
"categories": [
"quant-ph"
],
"doi": "10.1098/rspa.2001.0928",
"journal_ref": "Proceedings of the Royal Society London A458, 1519-1526 (2002)",
"title": "Entropy and Temperature of a Quantum Carnot Engine",
"url": "https://arxiv.org/abs/quant-ph/0101015"
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