TY - JOUR
T1 - Non-Markovian weak coupling limit of quantum Brownian motion
AU - Maniscalco, Sabrina
AU - Piilo, Jyrki
AU - Suominen, Kalle-Antti
PY - 2009/8/12
Y1 - 2009/8/12
N2 - 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.
AB - 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.
U2 - 10.1140/epjd/e2009-00230-6
DO - 10.1140/epjd/e2009-00230-6
M3 - Article
SN - 1434-6060
VL - 55
SP - 181
EP - 187
JO - European Physical Journal D
JF - European Physical Journal D
IS - 1
ER -