Entropy and Temperature of a Quantum Carnot Engine

Details Entropy and Temperature of a Quantum Carnot Engine Entropy and Temperature of a Quantum Carnot Engine

2001-01-03

arxiv.org/abs/quant-ph/0101015v2

Proceedings of the Royal Society London A458, 1519-1526 (2002)

Physics

Quantum Physics

4 pages, 1 figure

Scientific paper

10.1098/rspa.2001.0928

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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