The dynamical-quantization approach to open quantum systems

Details The dynamical-quantization approach to open quantum systems The dynamical-quantization approach to open quantum systems

2010-10-26

arxiv.org/abs/1010.5378v1

Physics

Condensed Matter

Statistical Mechanics

32 pages (submitted to Physica A)

Scientific paper

On the basis of the dynamical-quantization approach to open quantum systems, we can derive a non-Markovian Caldeira-Leggett quantum master equation as well as a non-Markovian quantum Smoluchowski equation in phase space. On the one hand, we solve our Caldeira-Leggett equation for the case of a quantum Brownian particle in a gravitational field. On the other hand, we solve our quantum Smoluchowski equation for a harmonic oscillator. In both physical situations we come up with the existence of a non-equilibrium thermal quantum force. Further, as a physical application of our quantum Smoluchowski equation we take up the phenomenon of escape rate of a non-inertial Brownian particle over a potential barrier. Key-words: Quantum Brownian motion; Non-Markovian effects; Caldeira-Leggett quantum master equation; Quantum Smoluchowski equation; Quantum tunneling

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