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Acta Physica Sinica

The squeezing of angular momentum and its evolutions in atomic Schrdinger cat states

Chuan-hua Dong, 上海大学物理系,上海 200436

Published Jan 1, 2003• 0 citations
Publisher

Abstract

The atomic coherent states will evolve to the atomic Schrdinger cat states at some special times in a low-Q acvity. The fluctuations and higher-order fluctuations of angular momentum in these atomic Schrdinger cat states are discussed. According to the uncertainty principle, the squeezing and higher-order squeezing for atomic angular momentum are investigated. It shows that the atomic Schrdinger cat states can be squeezed to second-and sixth-order, but cannot be squeezed to fourth-order. The properties of squeezing of atomic Schrdinger cat states formed by superposing infinite terms of atomic coherent states are identical with those of atomic coherent states.

DOI
10.7498/aps.52.337

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The atomic coherent states will evolve to the atomic Schrdinger cat states at some special times in a low-Q acvity. The fluctuations and higher-order fluctuations of angular momentum in these atomic Schrdinger cat states are discussed. According to the uncertainty principle, the squeezing and higher-order squeezing for atomic angular momentum are investigated. It shows that the atomic Schrdinger cat states can be squeezed to second-and sixth-order, but cannot be squeezed to fourth-order. The properties of squeezing of atomic Schrdinger cat states formed by superposing infinite terms of atomic coherent states are identical with those of atomic coherent states.
The second ,fourth and sixth order fluctuations have been discussed by making use of SU (2)Lie algebra.On the basis of higher order uncertainty relation,the definition of higher order squeezing for the fluctuations of angular momentum has been put forward.In particular,the second ,fourth and sixth order squeezing in atomic coherent states are investigated.These methods and definition can be used for studying much higher order squeezing.The higher order squeezing can be generalized to the fluctuations of atomic variances thereby.
The second-,fourth-and sixth-order fluctuations have been discussed by making use of- SU-(2)Lie algebra.On the basis of higher-order uncertainty relation,the definition of higher-order squeezing for the fluctuations of angular momentum has been put forward.In particular,the second-,fourth-and sixth-order squeezing in atomic coherent states are investigated.These methods and definition can be used for studying much higher-order squeezing.The higher-order squeezing can be generalized to the fluctuations of atomic variances thereby.
Abstract Superposition of two coherent states, the Schrodinger’s cat state, can exhibit different nonclassical properties having foundational applications in quantum information processing. We consider the ‘superposition of Schrodinger’s cat state with the vacuum state (SCVS)’ of the optical field. We discuss different witness of nonclassicality properties such as lower- and higher-order squeezing (viz., squeezing, Hong & Mandel’s fourth-order squeezing, amplitude-squared squeezing) and sub-Poissonian photon statistics. Further, we discuss the negativity of the Wigner function of SCVS indicating the nonclassicality of the state under investigation. We find that the vacuum state contribution in SCVS exhibits different nonclassicalities under some conditions stronger where the nonclassicalities exhibited by the state without vacuum state contribution are weaker.