Non-Markovian weak coupling limit of quantum Brownian motion

Details Non-Markovian weak coupling limit of quantum Brownian motion Non-Markovian weak coupling limit of quantum Brownian motion

2008-12-05

arxiv.org/abs/0812.1096v1

Physics

Quantum Physics

7 pages, 2 figures

Scientific paper

We derive and solve analytically the non-Markovian master equation for harmonic quantum Brownian motion proving that, for weak system-reservoir couplings and high temperatures, it can be recast in the form of the master equation for a harmonic oscillator interacting with a squeezed thermal bath. This equivalence guarantees preservation of positivity of the density operator during the time evolution and allows one to establish a connection between the dynamics of Schr\"odinger cat states in squeezed environments and environment-induced decoherence in quantum Brownian motion.

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