Non-Markovian weak coupling limit of quantum Brownian motion
Department of Physics and Astronomy, University of Turku, 20014 Turku, Finland
Corresponding author: a email@example.com
Published online: 7 August 2009
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.
PACS: 03.65.Yz – Decoherence; open systems; quantum statistical methods / 03.65.Ta – Foundations of quantum mechanics; measurement theory
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2009