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Temporal second-order coherence function for displaced-squeezed thermal states

We calculate the quantum mechanical, temporal second-order coherence function for a single-mode, degenerate parametric amplifier for a system in the Gaussian state, viz. a displaced-squeezed thermal state. The calculation involves first dynamical generation at time t of the Gaussian state from an in...

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Bibliographic Details
Published in:Journal of modern optics 2016-05, Vol.63 (10), p.961-967
Main Author: Alexanian, Moorad
Format: Article
Language:English
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Summary:We calculate the quantum mechanical, temporal second-order coherence function for a single-mode, degenerate parametric amplifier for a system in the Gaussian state, viz. a displaced-squeezed thermal state. The calculation involves first dynamical generation at time t of the Gaussian state from an initial thermal state and subsequent measurements of two photons a time apart. The generation of the Gaussian state by the parametric amplifier insures that the temporal second-order coherence function depends only on , via , for the given Gaussian state parameters, Gaussian state preparation time t, and average number of thermal photons. It is interesting that the time evolution for displaced thermal states shows a power decay in rather than an exponential one as is the case for general, displaced-squeezed thermal states.
ISSN:0950-0340
1362-3044
DOI:10.1080/09500340.2015.1112441