Quantum Brownian motion and the second law of thermodynamics

Details Quantum Brownian motion and the second law of thermodynamics Quantum Brownian motion and the second law of thermodynamics

2006-12-05

arxiv.org/abs/quant-ph/0612038v1

Physics

Quantum Physics

Accepted for publication in EPJ B

Scientific paper

10.1140/epjb/e2007-00119-2

We consider a single harmonic oscillator coupled to a bath at zero temperature. As is well known, the oscillator then has a higher average energy than that given by its ground state. Here we show analytically that for a damping model with arbitrarily discrete distribution of bath modes and damping models with continuous distributions of bath modes with cut-off frequencies, this excess energy is less than the work needed to couple the system to the bath, therefore, the quantum second law is not violated. On the other hand, the second law may be violated for bath modes without cut-off frequencies, which are, however, physically unrealistic models.

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