A Quantum Analogue of the Jarzynski Equality

Details A Quantum Analogue of the Jarzynski Equality A Quantum Analogue of the Jarzynski Equality

2000-07-28

arxiv.org/abs/cond-mat/0007456v1

J. Phys. Soc. Jpn. 69 (2000) pp. 2367-2370

Physics

Condensed Matter

Statistical Mechanics

7 pages, 1 figure; to appear in J. Phys. Soc. Jpn. 69 (2000)

Scientific paper

10.1143/JPSJ.69.2367

A quantum analogue of the Jarzynski equality is constructed. This equality connects an ensemble average of exponentiated work with the Helmholtz free-energy difference in a nonequilibrium switching process subject to a thermal heat bath. To confirm its validity in a practical situation, we also investigate an open quantum system that is a spin 1/2 system with a scanning magnetic field interacting with a thermal heat bath. As a result, we find that the quantum analogue functions well.

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