Quantum Smoluchowski equation for driven systems

Details Quantum Smoluchowski equation for driven systems Quantum Smoluchowski equation for driven systems

2009-04-06

arxiv.org/abs/0904.0950v2

Phys. Rev. E 80, 042101 (2009)

Physics

Condensed Matter

Statistical Mechanics

4 pages

Scientific paper

10.1103/PhysRevE.80.042101

We consider a driven quantum harmonic oscillator strongly coupled to a heat bath. Starting from the exact quantum Langevin equation, we use a Green's function approach to determine the corresponding semiclassical equation for the Wigner phase space distribution. In the limit of high friction, we apply Brinkman's method to derive the quantum Smoluchowski equation for the probability distribution in position space. We further determine the range of validity of the equation and discuss the special case of a Brownian parametric oscillator.

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