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Parity-dependent squeezing of light

C. Brif·A. Mann·A. Vourdas
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Abstract

A parity-dependent squeezing operator is introduced which imposes different SU(1,1) rotations on the even and odd subspaces of the harmonic oscillator Hilbert space. This operator is used to define parity-dependent squeezed states which exhibit highly nonclassical properties such as strong antibunching, quadrature squeezing, strong oscillations in the photon-number distribution, etc. In contrast to the usual squeezed states whose $Q$ and Wigner functions are simply Gaussians, the parity-dependent squeezed states have much more complicated $Q$ and Wigner functions that exhibit an interesting interference in phase space. The generation of these states by parity-dependent quadratic Hamiltonians is also discussed.

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C. Brif, A. Mann, A. Vourdas. 1996-04-20. Parity-dependent squeezing of light. https://doi.org/10.1088/0305-4470/29/9/018

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