Dynamics of a degenerate parametric oscillator in a squeezed reservoir

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...

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Bibliographic Details
Published in:Physics letters. A 2008-07, Vol.372 (30), p.4985-4989
Main Authors: Olkiewicz, R., Żaba, M.
Format: Article
Language:English
Subjects:
Equilibrium states
Quantum dynamical semigroups
Quantum optics
Squeezed states
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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.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2008.05.062