Parity-dependent squeezing of light

Details Parity-dependent squeezing of light Parity-dependent squeezing of light

1996-04-20

arxiv.org/abs/quant-ph/9604017v1

J.Phys.A29:2053-2068,1996

Physics

Quantum Physics

accepted for publication in J. Phys. A, LaTeX, 11 pages, 12 figures (compressed PostScript, available at http://www.technion

Scientific paper

10.1088/0305-4470/29/9/018

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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