In the representation of dressed states, which diagonalizes the Hamiltonian in the Jaynes-Cummings model, the Bose operator for excitation annihilation Â, the spin operator $\hat \Sigma \_$ , and the corresponding Hermitian-conjugate operators are found. Using these operators, correlated coherent states were constructed and statistical properties of a field mode and an atom in these states are studied. Nonclassical field properties, such as the deviation of the probability distribution for the number of photons from the Poissonian distribution, its time dependence, and the squeezing of quadrature field components are found. For small interaction coefficients k, all these characteristics of the model vary weakly in time in the resonance case.In the representation of dressed states, which diagonalizes the Hamiltonian in the Jaynes-Cummings model, the Bose operator for excitation annihilation Â, the spin operator $$\hat \Sigma \_$$ , and the corresponding Hermitian-conjugate operators are found. Using these operators, correlated coherent states were constructed and statistical properties of a field mode and an atom in these states are studied. Nonclassical field properties, such as the deviation of the probability distribution for the number of photons from the Poissonian distribution, its time dependence, and the squeezing of quadrature field components are found. For small interaction coefficients k, all these characteristics of the model vary weakly in time in the resonance case.

Optics and SpectroscopyJun 1, 20011 citation

Nonclassical properties of coherent states

Lars M. Johansen

arXiv:quant-ph/0309025Physics Letters AJul 22, 200453 citations

Statistical phase properties in a coherent state

M. M. Al'perin, Ya. D. Klubis

Radiophysics and Quantum ElectronicsJul 1, 19910 citations

Influence of phase damping on nonclassical properties of the two-mode Jaynes Cummings model

H. A. Hessian, Helmut Ritsch

We study the effect of phase damping in the two-mode Jaynes–Cummings model (JCM) using a master equation describing phase damping under the Markovian approximation. An analytic solution of the master equation for the nondegenerate bimodal multiquanta JCM with phase damping is obtained. We show that phase damping has a less detrimental effect on nonclassical properties of the field than energy damping. In contrast to energy damping the strong nonclassical coherences of a Schrödinger's cat superposition state of two well separated coherent states decay with a similar time constant, independent of the separation of the two states.We study the effect of phase damping in the two-mode Jaynes–Cummings model (JCM) using a master equation describing phase damping under the Markovian approximation. An analytic solution of the master equation for the nondegenerate bimodal multiquanta JCM with phase damping is obtained. We show that phase damping has a less detrimental effect on nonclassical properties of the field than energy damping. In contrast to energy damping the strong nonclassical coherences of a Schrödinger's cat superposition state of two well separated coherent states decay with a similar time constant, independent of the separation of the two states.

Journal of Physics B Atomic Molecular and Optical PhysicsNov 4, 200223 citations

In the representation of dressed states, which diagonalizes the Hamiltonian in the Jaynes-Cummings model, the Bose operator for excitation annihilation Â, the spin operator

\hat \Sigma \_

, and the corresponding Hermitian-conjugate operators are found. Using these operators, correlated coherent states were constructed and statistical properties of a field mode and an atom in these states are studied. Nonclassical field properties, such as the deviation of the probability distribution for the number of photons from the Poissonian distribution, its time dependence, and the squeezing of quadrature field components are found. For small interaction coefficients k, all these characteristics of the model vary weakly in time in the resonance case.