Photon statistics of a two-mode squeezed vacuum

Abstract

We i n v estigate the general case of the photon distribution of a two-mode squeezed vacuum and show that the distribution of photons among the two modes depends on four parameters: two squeezing parameters, the relative phase between the two oscillators and their spatial orientation. The distribution of the total number of photons depends only on the two squeezing parameters. We derive analytical expressions and present pictures for both distributions.

Strong oscillations of cumulants of photon distribution function in slightly squeezed states

“…Such properties of the photon distribution oscillations for the nonclassical types of light are preserved also for the multimode electromagnetic radiation. It was shown for two-mode squeezed light in [16], [17], [18] and for even and odd cat states in [19], [20].…”

Properties of squeezed-state excitations

“…where additionally the explicit representation of the Gegenbauer polynomials is inserted. There exists another relation between the Jacobi polynomials with equal upper indices P (j,j) l (z) and the associated Legendre polynomials P j n (z) of the following kind [11] P (j,j)…”

“…The photon and quadrature statistics of nonclassical states of light such as squeezed states [1,2], even and odd coherent states [3,4,5], displaced Fock ( or number ) states [6,7,8,9] or displaced and squeezed Fock states [10], and corresponding multimode states as, for example, two-mode squeezed vacuum [11] differs essentially from the statistics of light in coherent states [12,13,14,15,16] which has the Poissonian photon distribution and Gaussian quadrature statistics with equal minimal dispersions of the both noncorrelated quadratures. The distributions for nonclassical light have frequently oscillatory character [17,18,19].…”

Excited Two-Mode Generalized Squeezed Vacuum State as a Squeezed Two-Variable Hermite Polynomial Excitation State

“…Recently, more and more groups have devoted to researching on well-behavior nonclassical properties of squeezed states [1][2][3], especially for the twomode squeezed states [4][5][6][7][8][9][10][11]. For example, phase properties for the two-mode squeezed states have been widely investigated using the Pegg-Barnett phase formalism in [5][6][7].…”