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Acta Physica Sinica

SQUEEZING IN A TWO-PHOTON JAYNES-CUMMINGS MODEL

GU QIAO, 西北大学物理系

Published Jan 1, 1988• 2 citations
Publisher

Abstract

The quatum statistical properties of two-photon radiation from two-level atomic system are investigated by using complete set in the nth subspace of generalized Jaynes-Cummings hamiltonian, and the general expression for field variance is obtained. The conditions for optimum squeezing as well as the optimum squeezed quantity are found out for an arbitrary initial state, and the time evolution of the optimum squeezed state is then analysed. As an example, the squeezing in an initial state with bare atomic system in thermal equilibrium is discussed, which demonstrates the dependence of squeezing on several parameters, such as, temperature, detuning, coupling strength. The conditions for squeezing are given analytically and numerically. Finally, the physical picture of the squeezing is pointed out.

DOI
10.7498/aps.37.751

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The quatum statistical properties of two-photon radiation from two-level atomic system are investigated by using complete set in the nth subspace of generalized Jaynes-Cummings hamiltonian, and the general expression for field variance is obtained. The conditions for optimum squeezing as well as the optimum squeezed quantity are found out for an arbitrary initial state, and the time evolution of the optimum squeezed state is then analysed. As an example, the squeezing in an initial state with bare atomic system in thermal equilibrium is discussed, which demonstrates the dependence of squeezing on several parameters, such as, temperature, detuning, coupling strength. The conditions for squeezing are given analytically and numerically. Finally, the physical picture of the squeezing is pointed out.
In this paper, the general evolution laws of the two-photon Jaynes-Cummings model with initially arbitrary states have been investigated. And the emphasis is put on the influenec of the initial atomic coherence on the squeezing of radiative field in the two-photon Jaynes-Oummings model. As an example, the squeezing of the field in the interaction of a two-level atom of arbitrary initial states with the vacuum and coherent field is studied, and the squeezing of the field under various conditions has been calculated numerically.
By means or investigating the time evolution of the atomic dipole squeezing and the field squeezing in the one-photon Jaynes-Cummings model and the nondege-nerate two-photon Jaynes-Cummings model, the relations between atomic dipole squeezing and squeezing in the radiating field are examined. The conditions under which the atom in atomic dipole squeezed state can radiate squeezed light are presented. The properties of the squeezing transformation between atomic dipole quadrature components and field quadrature components are also discussed. And in the atom-field coupling system, the two-photon transtion processes in producing squeezed light are superior to the one-photon transition processes.
The statistical and fluctuational properties of an electromagnetic field in a nonideal cavity are studied with the help of the collective two-atom Jaynes-Cummings model taking into account losses of photons and spontaneous radiation of atoms into bath modes. For the coherent state of the field and excited initial state of atoms, the general analytical expressions for the second-order field correlation function, the second-order squeezing parameters, and the squared field amplitude are obtained by solving the master equation for the density matrix. The statistics and the degree of squeezing of the cavity field mode are studied as functions of the initial field intensity and of the coefficients of the energy dissipation of the system. It is shown that, for the two-atom dissipative model, compared to the single-atom model, the type of field statistics can be changed and the maximal degree of short-term squeezing can be increased.