Atom-field entanglement in two-atom Jaynes–Cummings model with nondegenerate two-photon transitions

Bashkirov, Eugene K.; Rusakova, M. S.

doi:10.1016/j.optcom.2008.04.060

Cited by 44 publications

(26 citation statements)

References 27 publications

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“…The case when ξ = 0, i.e., Tr ρ 2 A = 1 corresponds to completely disentangled atomic and field states and when the linear entropy equals to 3/4, i.e., (Tr ρ 2 A = 1/4) corresponds to maximum entanglement degree [33].…”

Section: Linear Entropy Of the Systemmentioning

confidence: 99%

Entanglement for the System of Two 2-Level Atoms Interacting with a Single-Mode Through Cooperative Interaction

2009

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The interaction of two 2-level atoms inside a resonant microcavity under stimulated emission via multi-photon-transition is considered. An analytical solution for this system when both atoms are initially in the exited state and the field in a coherent state is obtained. Entanglement dynamics between the two atoms taking into account the effect of the stimulated emission is studied by using various measures of entanglement. We compare the results for these various measures, and discuss the entanglement induced due to the stimulated emission.

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Section: Linear Entropy Of the Systemmentioning

confidence: 99%

Entanglement for the System of Two 2-Level Atoms Interacting with a Single-Mode Through Cooperative Interaction

2009

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“…The interest in the investigation of the two-photon models is stimulated by the experimental realization of a two-photon one-atom micromaser on Rydberg transitions in a microwave cavity [10]. The atom-field entanglement for the two-atom Tavis-Cummings model has been investigated for nondegenerate, Raman and degenerate two-photon transitions in [11,12]. The effects of Stark shift on the purity loss of the two-atom multi-photon system and different partitions of the system (field-two-atom, atom-(field + atom)) have been considered in [13].…”

Section: Introductionmentioning

confidence: 99%

Quantum statistical characteristics of the interaction between two two-level atoms and radiation field

et al. 2015

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Abstract.A quantum optics model is considered where the cavity field interacts with two coupled atoms. The time-dependent wave function is obtained and used to derive the density matrix from which we discussed some statistical properties for the present system. The atom-atom entanglement, atoms-cavity entanglement, entropy and variance squeezing, the Pegg-Barrnet phase and the fidelity are discussed with the effects of the initial conditions, atom-atom coupling and the detuning parameter displayed. It is shown that an increase in the value of the atom-atom coupling parameter leads to an increase in the degree of entanglement. Numerical results show that under some conditions the phenomena of entanglement and the collapses and the revivals emerge. Nonclassical properties are demonstrated by means of the field quantum statistical characteristics, such as photon-number distribution, Husimi, Wigner and Glauber-Sudarshan quasidistributions and the corresponding variances.

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“…In recent years much attention has been focused on the properties of the entanglement between the field and the atom and, in particular, the entropy of a two-level system interacting with a single-mode [16][17][18][19][20][21][22][23][24], and two-mode [25,26] has been investigated. Also, atom-field entanglement in multi-photon processes for a single atom either with a one-mode or with a two-mode field [17,[27][28][29][30][31], and a two-atom system has been studied [16,23,[32][33][34][35]. A tentative approach to entanglement measures for a system of a three-level atom interacting with a quantized cavity-field has been introduced [36].…”

Section: Introductionmentioning

confidence: 99%

Quantum Entropy of a Four-Level Atom with Arbitrary Nonlinearities

2012

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General formalisms of a four-level atom in different configurations interacting with a single mode quantized electromagnetic field under multi-photon process with additional forms of nonlinearities of both the field and the intensity-dependent atom-field coupling are investigated. Analytical expressions for the time unitary evolution operator and density operator are obtained. The atom is prepared in its upper most and the field is prepared in a binomial state. The effects of the mean photon number, photon multiplicity, detuning, Kerr-like medium and the intensity-dependent coupling functional on the entropy are considered. General conclusions reached are illustrated by numerical results.

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Atom-field entanglement in two-atom Jaynes–Cummings model with nondegenerate two-photon transitions

Cited by 44 publications

References 27 publications

Entanglement for the System of Two 2-Level Atoms Interacting with a Single-Mode Through Cooperative Interaction

Entanglement for the System of Two 2-Level Atoms Interacting with a Single-Mode Through Cooperative Interaction

Quantum statistical characteristics of the interaction between two two-level atoms and radiation field

Quantum Entropy of a Four-Level Atom with Arbitrary Nonlinearities

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