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Journal of Guangxi University

Quantum statistical properties of ~(-1)and~(+-1) act on even and odd coherent states

Qingyi Yang

Published Jan 1, 2002• 0 citations
OpenAlex

Abstract

Even and odd coherent states are the two nonclassical states of optical field which show different quantum statistical properties.They can be altered each other by the action of annihilation operator .In this paper,we discussed the quantum statistical properties of the states generated by using operators -1 and +-1 on the even and odd coherent states.

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Even and odd coherent states are the two nonclassical states of optical field which show different quantum statistical properties.They can be altered each other by the action of annihilation operator .In this paper,we discussed the quantum statistical properties of the states generated by using operators -1 and +-1 on the even and odd coherent states.
We construct mathematically two new types of quantum state which we call the generalized excited even and odd coherent states of the radiation field. They are created by repeatedly applying the pseudo-creation operator b † = ν ∗ a + μ ∗ a † to the even and odd coherent states m times, respectively. Analytic expressions for the quantum statistical properties are derived, and through numerical computation it is found that these states can exhibit highly nonclassical behaviour depending on the degree of excitation m and other parameters. These states may have interesting significance if they can be realized experimentally.
In this paper, we use the numerical method to study the influences of and deformations on the quantum statistical properties of even and odd qs-coherent states. It is shown that nonclassical properties of the even and odd qs-coherent states are very different from those of the usual even and odd coherent states. It is found that squeezing and antibunching effect appear for both even and odd qs-coherent states in some range of the parameters , and . The smaller the and are, the larger the difference between the even and odd qs-coherent states and the usual even and odd coherent states is.
The photon-added odd pair coherent states and photon-added even pair coherent states are constructed,and their nonclassical properties are studied with numeric simulation method.The results show that the constructed states are new quantum optical fields that exhibit the nonclassical properties such as the sub-poissonian distribution characters of photon statistics and the antibunching effect.When the photons are added to the two modes of the odd(even) pair coherent states,the sub-poissonian distribution characters of photon statistics can be obviously enhanced.
The photon-subtracted odd(even) pair coherent states are constructed and their nonclassical properties are investigated by using numeric method.The results show that when the photons are subtracted from the first mode in the odd(even) pair coherent states,the sub-Poissonian distributing character of photon statistics of the second mode can be obviously enhanced.When the photons are subtracted from the first mode in the odd pair coherent states,the antibunching effect of the first mode will be enhanced as the modulus of the eigenvalue of the double modes photons annihilating operator is small.When the photons are subtracted from the first mode in the even pair coherent states,the antibunching effect of the second mode will be obviously enhanced as the modulus of the eigenvalue of the double modes photons annihilating operator is small.
We examine the nonclassical statistical properties of the squeezed even and the squeezed odd coherent states defined by the superposed states involving two squeezed coherent states with phase difference π between their displacement parameters. We demonstrate that the fields in the squeezed even coherent state can exhibit a remarkably enhanced squeezing level and mean photon number in comparison with the input squeezed coherent state. We also give examples of physical processes that lead to such a superposition.