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Physics Letters A

Statistical properties of photon-added and photon-subtracted two-mode squeezed vacuum state

H. Lu

Published Dec 1, 1999• 26 citations
Publisher
DOI
10.1016/s0375-9601(99)00802-6

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We introduce states a † m | ξ ⟩ and a m | ξ ⟩, where| ξ ⟩ is a two-mode squeezed vacuum state. We examine the properties of these states by analytic derivation. Because of the entanglement between the modes of the field, photon adding (or substracting) for one of the modes results in interesting outcomes. For a two-mode squeezed vacuum state, the effect of annihilation of m a-photons is just the same as creation of m b-photons. Annihilation of photons of mode a (or mode b ) actually increases the mean number of photons of mode a and mode b . We also calculate Mandel Q parameter, cross-correlation function and squeezing of the field.
We investigate the photon statistics of two-mode photon-subtracted squeezed vacuum states (TMPSSV), which are important factors to affect the sensitivity and resolution of optical interferometers. The comparison between the photon statistics of TMPSSV and two-mode squeezed vacuum states (TMSV) shows that the non-Gaussian operation has the effect of narrowing the characteristic widths of photon number probability distributions. Different from the super-Poissonian statistical distribution of TMSV, when the initial squeezing parameter is lower, TMPSSV shows a sub-Poissonian statistical distribution which is desirable for enhancing the sensitivity and resolution of interferometers. Therefore, non-Gaussian entanglement based on TMPSSV provides a promising quantum resource for an ultra-sensitivity and super-resolution optical interferometer far beyond the standard quantum limit.