Theory of Multimode Squeezed Light Generation in Lossy Media
arxiv(2024)
摘要
A unified theoretical approach to describe the properties of multimode
squeezed light generated in a lossy medium is presented. This approach is valid
for Markovian environments and includes both a model of discrete losses based
on the beamsplitter approach and a generalized continuous loss model based on
the spatial Langevin equation. For an important class of Gaussian states, we
derive master equations for the second-order correlation functions and
illustrate their solution for both frequency-independent and
frequency-dependent losses. Studying the mode structure, we demonstrate that in
a lossy environment no broadband basis without quadrature correlations between
the different broadband modes exists. Therefore, various techniques and
strategies to introduce broadband modes can be considered. We show that the
Mercer expansion and the Williamson decomposition do not provide modes in which
the maximal squeezing contained in the system can be measured. In turn, we find
a new broadband basis that maximizes squeezing in the lossy system and present
an algorithm to construct it.
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