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H-squeezing Properties of the Two-mode Squeezed Vacuum State

Jiang Jun

Published Jan 1, 2004• 0 citations
OpenAlex

Abstract

The K-th power H-squeezing properties of photon field for the two-mode squeezed vacuum state|ξ=1coshr∑∞n=0(-e~(iθ)tanhr)~n|n,n are numerically studied.It is shown that when θ satisfies certain conditions, the photon field can exhibit the K-th power H-squeezing effects (K=1,2,3,4,5,...), but as K increases, the K-th power H-squeezing effects decrease.

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The K-th power H-squeezing properties of photon field for the two-mode squeezed vacuum state|ξ=1coshr∑∞n=0(-e~(iθ)tanhr)~n|n,n are numerically studied.It is shown that when θ satisfies certain conditions, the photon field can exhibit the K-th power H-squeezing effects (K=1,2,3,4,5,...), but as K increases, the K-th power H-squeezing effects decrease.
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.
The properties of generalized nonlinear unequalled-order N j-th power H-squeezing in the two kinds of multi-mode superposition state light fields Ψ (2) +,3 q and Ψ (2) -,4 q constructed in document are studied in detail. By a large number of calculation, it is found that the two kinds multi-mode superposition states mentioned above can display any unequalled-order N j-th power H-squeezing that changes periodically and that the significative new phenomena of similitude squeezing and degenerate squeezing exist between the two superposition states. These results mentioned above demonstrate that the document is only the specific example of this paper under the certain conditions.