Quantum Brownian motion under rapid periodic forcing

Details Quantum Brownian motion under rapid periodic forcing Quantum Brownian motion under rapid periodic forcing

2008-10-22

arxiv.org/abs/0810.4050v2

Physics

Condensed Matter

Statistical Mechanics

11 Pages and 3 figures, Content changed

Scientific paper

We study the steady state behaviour of a confined quantum Brownian particle subjected to a space-dependent, rapidly oscillating time-periodic force. To leading order in the period of driving, the result of the oscillating force is an effective static potential which has a quantum dissipative contribution, $V_{QD}$, which adds on to the classical result. This is shown using a coherent state representation of bath oscillators. $V_{QD}$ is evaluated exactly in the case of an Ohmic dissipation bath. It is strongest for intermediate values of the damping, where it can have pronounced effects.

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