Non-Markovian weak coupling limit of quantum Brownian motion
Quantum Physics
2015-05-13 v1
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 Schr\"odinger cat states in squeezed environments and environment-induced decoherence in quantum Brownian motion.
Cite
@article{arxiv.0812.1096,
title = {Non-Markovian weak coupling limit of quantum Brownian motion},
author = {Sabrina Maniscalco and Jyrki Piilo and Kalle-Antti Suominen},
journal= {arXiv preprint arXiv:0812.1096},
year = {2015}
}
Comments
7 pages, 2 figures