The second law of thermodynamics in the quantum Brownian oscillator at an arbitrary temperature

Details The second law of thermodynamics in the quantum Brownian oscillator at an arbitrary temperature The second law of thermodynamics in the quantum Brownian oscillator at an arbitrary temperature

2007-12-04

arxiv.org/abs/0712.0478v1

Physics

Quantum Physics

Accepted for publication in EPJ B

Scientific paper

10.1140/epjb/e2007-00354-5

In the classical limit no work is needed to couple a system to a bath with sufficiently weak coupling strength (or with arbitrarily finite coupling strength for a linear system) at the same temperature. In the quantum domain this may be expected to change due to system-bath entanglement. Here we show analytically that the work needed to couple a single linear oscillator with finite strength to a bath cannot be less than the work obtainable from the oscillator when it decouples from the bath. Therefore, the quantum second law holds for an arbitrary temperature. This is a generalization of the previous results for zero temperature [1,2]; in the high temperature limit we recover the classical behavior.

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