Non-Markovian weak coupling limit of quantum Brownian motion
arXiv:0812.1096 · doi:10.1140/epjd/e2009-00230-6
Abstract
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 Schrödinger cat states in squeezed environments and environment-induced decoherence in quantum Brownian motion.
7 pages, 2 figures
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- Hot entanglement? -- Parametrically coupled quantum oscillators in two heat baths: instability, squeezing and driving
- Non-Markovian reservoir-dependent squeezing