an:05950942
Zbl 1221.81106
Olkiewicz, R.; ???aba, M.
Dynamics of a degenerate parametric oscillator in a squeezed reservoir
EN
Phys. Lett., A 372, No. 30, 4985-4989 (2008).
00286613
2008
j
81R30 81V80 81Q05 47D06
quantum dynamical semigroups; quantum optics; squeezed states; equilibrium states
Summary: Dynamics of a cavity mode which, in addition to interacting to an outside field with squeezed fluctuations, is simultaneously submitted to linear and parametric amplification processes is discussed in the Markovian approximation. The master equation for a density matrix of the cavity field is solved analytically in the Heisenberg picture. Long time asymptotic properties of the cavity mode are studied in the whole range of the evolution parameters and the corresponding decoherence effects are reported. It is also shown that in an appropriate regime of the evolution parameters there exists a unique steady state such that all initial density matrices evolve towards it. This allows engineering cavity states with desired properties.