A Quantum Fluctuation Theorem

Details A Quantum Fluctuation Theorem A Quantum Fluctuation Theorem

2000-07-24

arxiv.org/abs/cond-mat/0007360v2

Physics

Condensed Matter

Statistical Mechanics

Reference to shot noise in devices added, proof simplified

Scientific paper

We consider a quantum system strongly driven by forces that are periodic in time. The theorem concerns the probability $P(e)$ of observing a given energy change $e$ after a number of cycles. If the system is thermostated by a (quantum) thermal bath, $e$ is the total amount of energy transferred to the bath, while for an isolated system $e$ is the increase in energy of the system itself. Then, we show that $P(e)/P(-e)=e^{\beta e}$, a parameter-free, model-independent relation.

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