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Acta Physica Sinica

THE kTH POWER SQUEEZING OF THE FIELD AMPLITUDE IN SQUEEZED NUMBER STATES

WU XING一LONG, 南京大学物理系

Published Jan 1, 1994• 0 citations
Publisher

Abstract

We have studied the amplitude kth power squeezing in squeezed number states and derived the general formulas related to the squeezing effect. The squeezing propereies have been obtained for the cases of k=1,2,3 and 4 by means of numerical calculation, The results show that the AKPS has favourable applications in optical communication.
DOI
10.7498/aps.43.1433

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We have defined a new nonclassical effect: amplitude kth-power squeezing. We have analyzed the squeezing properties of the k-photon coherent states as defined by D'Ariano, Rasetti, and Vadacchio [Phys. Rev. D 32, 1034 (1985)]; Katriel et al. [Phys. Rev. D 34, 332 (1986)]; and D'Ariano and Sterpi [Phys. Rev. A 39, 1810 (1989)]. It has been shown that, due to the interaction with the nonlinear nonabsorbing medium modeled as an anharmonic oscillator, these states become amplitude kth power squeezed.
The characteristics of the kth-power squeezing of a class of superposition states which involing two orthonormalized eigenstates of photo annihilation operator aN are studied,the result show that the characteristics of the kth-power squeezing of a class of superposition states which involving two orthonormalized of photon annihilation operator aN are different from the characteristics of the kth-power squeezing of the orthonormalized eigenstates of photo annihilation operator aN clearly.No matter what N is odd number or even number,the superposition states exist amplitude k(k=Nt or Nt/2)th-power squeezing,but for the orthonormalized eigenstates of aN,only when N is even number there exist amplitude k(k=(2p+1)N/2)th-power squeezing.Owing to,when phase difference δ=2mπ/t(m is integer),the superposition states don't exist amplitude k th-power squeezing,when δ=π,only N and t are odd number together,the superposition states may exist amplitude kth-power squeezing,…,thus the phase difference of paramter takes key effect for amplitude kth-power squeezing.The research result also show that j,N,δ, and α play a not be ignored part in squeezing and squeezing region.