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Physics Letters A

A new kind of higher-order squeezing of radiation field

Zhi‐Ming Zhang, Lei Xu, Jin-lin Chai, Fuli Li

Published Oct 1, 1990• 56 citations
Publisher
DOI
10.1016/0375-9601(90)90054-r

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A photon blackbody field in Kerr nonlinear crystal is a squeezed thermal radiation state in which there is a new kind of quasi particle, the nonpolariton. A nonpolariton is a condensate of virtual nonpolar phonons, with a bare photon acting as the nucleus of condensation. The propagation velocity of nonpolaritons is a monotonically increasing function of temperature, and the noise of one quadrature phase in the squeezed thermal radiation state can be below the noise level in the vacuum state. The photon system undergoes a second-order phase transition from the normal to the squeezed thermal radiation state.
A new kind of nonlinear coherent states, i.e. the k eigenstates of the powers B^k (k ≥ 3) of the generalized annihilation operator B^=a^†-1f(N^) of f-oscillators, are constructed using the inverse operators of the boson annihilation and creation operators. The set of these states may form a complete quantum mechanics representation. Using newly defined higher order squeezing and an antibunching, the properties of the Mth-order squeezing and the antibunching effect of the k states are investigated. The results show that the Mth-order [M = (n + 1/2)k; n = 0, 1, 2, …] squeezing effects exist in all of the k states when k is even and the antibunching effect exists in all of the k states.
The properties of unequalled order N j th power Y squeezing in the two new kind multimode Schr o ¨dinger state(MSCS) light fields:|Ψ (2) + q and|Ψ (2) - q are studied firstly in detail.It's result reveals that the squeezing properties of similitude and degenrate between the two kind states mentioned above,With the initial phase φ j(j=1,2,3,...,q) changing,and else some quantization or continuity conditions,the two kinds MSCS present periodically any unequalled order N j th power Y squeezing effect in the case of squeezing order N j of each mode is equal to 4m j,4m j+1,4m j+2 and 4m j+3(m j=0,1,2,3,...) respectively.It is demonstrated that the state |Ψ (2) + q and |Ψ (2) - q are two kinds of typical multimode nonclassical light fields.