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Acta Physica Sinica

THE PROPERTIES OF DISPLACED BINOMIAL STATES AND DISPLACED NEGATIVE BINOMIAL STATES AND THEIR INTERACTION WITH TWO-LEVEL ATOMS

Xiaoguang Wang, YU Rong-jin, LI WEN, (1)长春大学机械工程学院,长春 130022; (2)中国科学院长春物理研究所激发态物理开放研究实验室,长春 130021; (3)中国科学院物理研究所,北京 100080；中国科学院长春物理研究所激发态物理开放研究实验室，长春 130021

Published Jan 1, 1998• 1 citation
Publisher

Abstract

In this article, we propose two new quantum field states, displaced binomial state and displaced negative binomial state. Their photon number distributions and sub-Poissonian properties are discussed. The results show that the displaced binomial state is a kind of intermediate quantum state between the coherent state and displaced number state and it may be sub-Poissonian and super-Poissonian at different parameters. The displaced negative binomial state is always super-Poissonian and is an intermediate state between coherent state and displaced Sussking-Glogower phased state. Finally, we study the dynamical evolution of atomic population inversion in the intensity-dependent interaction between these two states and two-level atoms.

DOI
10.7498/aps.47.1798

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In this article, we propose two new quantum field states, displaced binomial state and displaced negative binomial state. Their photon number distributions and sub-Poissonian properties are discussed. The results show that the displaced binomial state is a kind of intermediate quantum state between the coherent state and displaced number state and it may be sub-Poissonian and super-Poissonian at different parameters. The displaced negative binomial state is always super-Poissonian and is an intermediate state between coherent state and displaced Sussking-Glogower phased state. Finally, we study the dynamical evolution of atomic population inversion in the intensity-dependent interaction between these two states and two-level atoms.
We introduce the negative binomial states with negative binomial distribution as their photon number distribution. They reduce to the ordinary coherent states and Susskind-Glogower phase states in different limits. The ladder and displacement operator formalisms are found and they are essentially the Perelomov's su(1,1) coherent states via its Holstein-Primakoff realisation. These states exhibit strong squeezing effect and they obey the super-Poissonian statistics. A method to generate these states is proposed.
New states of electromagnetic field, generalized excited negative binomial states are introduced here. These states interpolate between the superposition of two excited coherent states and number states. The non-classical properties for these states are discussed, such as, second order correlation function, squeezing phenomena [normal squeezing and amplitude squared squeezing], phase properties in Pegg–Barnett formalism and the quasi-probability distribution functions (Q-function and Wigner function).
In this paper, we introduce the binomial state of a two-level atomic system, which is a state that yields a binomial probability distribution. Its generation, squeezing, antibunching, and subpoisson statistics are discussed. It reduces to the Glauber coherent state in certain limit, and in that limit, the binomial distribution reduces to the Poisson distribution. This limiting process destroys all nonclassical effects of the system. The Bloch vector model is used to discuss the quantum characters of mixed state of one atom. Finally, the binomial state of the atomic system and the binomial state of the Bose system is compared. It is shown that the binomial state of a Bose system can not be produced in a atomic system.