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Journal of Atomic and Molecular Physics

Intrinsic decoherence of entanglement of a single quantized field interacting with a two-level atom

Bin Shao

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

How the mean photon number,the probability of excited state and intrinsic decoherence coefficient influence the time evolution of entanglement is unknown,when a single-mode quantized optic field and a two-level atom coupling system is governed by Milburn equation.The Jaynes-Cummings model is considered.A lower bound of concurrence is proposed to calculate the entanglement.Simulation results indicate that the entanglement of system increases following the increasing of intrinsic decoherence coefficient or the decreasing of the mean photon number.Besides that,the entanglement of the system decreases,while the probability of the exited state increases from 0 to 0.1,and increases,while the probability of the exited state increases from 0.1 to 1.

Related papers

Entanglement and intrinsic decoherence in the interaction between two-mode field and atom

Xia Tan, Zhang Cheng-qiang, Yun‐Jie Xia +1 more

Considering the interaction between two-mode SU(1,1) coherence states and a two-level atom, we find an exact solution of the Milburn equation for the system. We investigate the time evolution of the entanglement of field-atom and one of two modes of field using the quantum-reduced entropy and quantum relative entropy, respectively. The influences of intrinsic decoherence and two-mode photon number difference on the evolution of the entanglement of field-atom and one of two modes of field are discussed. It is shown that the entanglement of field-atom reduces to a stationary value with time evolution and the entanglement between two modes increases to another stationary value with intrinsic decoherence, and the values only depend on the two-mode photon number and mean photon number.

Acta Physica Sinica•Jan 1, 2006•5 citations

QUANTUM ENTANGLEMENT OF TWO ATOMS INDUCED BY A FOCK STATE

Cai Jin-Fang

In the consideration of Milburn model of intrinsic decoherence,we investigate the entanglement between two two-level atoms interacting with a Fock state of single-mode quantized radiation field.The reduced density matrix of the atom system is given explicitly.Due to the intrinsic decoherence,the entanglement of the atoms will decrease as the evolution of the system.And finally,the atoms system will approach a stationary state which the stationary entanglement depends on the initial states of the field and the atoms.Here,the entanglement is calculated by making use of the concurrence.

Journal of Anhui Normal University•Jan 1, 2005•0 citations

The time-evolution of entanglement in the interacting System of the atom and coherence field with phase decoherence

Zhang Cheng-qiang

We investigate the time evolution of the entanglement in the interacting system of a single two-level atom and a single mode coherence field with phase decoherence and discuss the influences of the coupling constant of light and atoms,mean photon number of light and detuning.The results show that the oscillating frequency of the entanglement of the system will increase with the increasing of the coupling constant of light and atoms and the mean photon number of light.The influence of the detuning on time evolution of the entanglement is obvious without phase decoherence and the quantum state of the field and atom will stay in a most entangled state for a long time when the detuning is proper.The phase decoherence causes the fading of entanglement when the system is resonant and it will fade to zero at last.The entanglement of the system is a fading oscillation at first with phase decoherence.The detuning restrains the phase decoherence with the time evolution.In this case the entanglement of the system will not fade to zero at last.The oscillating amplitude of the entanglement is lessening at first and the entanglement will quickly become a constant value with the increasing of detuning.The system will stay in an entangled state with phase decoherence if the detuning is proper.

Journal of Atomic and Molecular Physics•Jan 1, 2007•0 citations

Intrinsic decoherence effects on quantum dynamics of the nondegenerate two-photon f-deformed Jaynes–Cummings model governed by the Milburn equation

M. H. Naderi

In this paper, we study the influence of the intrinsic decoherence on quantum statistical properties of a generalized nonlinear interacting atom–field system, i.e., the nondegenerate two-photon f-deformed Jaynes–Cummings model governed by the Milburn equation. The model contains the nonlinearities of both the cavity–field and the atom–field coupling. Until now, very few exact solutions of nonlinear systems that include a form of decoherence have been presented. The main achievement of the present work is to find exact analytical solutions for the quantum dynamics of the nonlinear model under consideration in the presence of intrinsic decoherence. With the help of a supersymmetric transformation, we first put the model Hamiltonian into an appropriate form for treating the intrinsic decoherence. Then, by applying the superoperator technique, we find an exact solution of the Milburn equation for a nondegenerate two-photon f-deformed Jaynes–Cummings model. We use this solution to investigate the effects of the intrinsic decoherence on temporal evolution of various nonclassical properties of the system, i.e., atomic population inversion, atomic dipole squeezing, atom–field entanglement, sub-Poissonian photon statistics, cross correlation between the two modes and quadrature squeezing of the cavity field. Particularly, we compare the numerical results for three different cases of two-mode deformed, one-mode deformed, and nondeformed Jaynes–Cummings models. PACS Nos.: 42.50.Ct, 42.50.Dv, 03.65.Yz

Canadian Journal of Physics•Oct 1, 2007•8 citations

Influence of intrinsic decoherence on nonclassical effects in the multiphoton Jaynes-Cummings model

Le‐Man Kuang, Xin Chen, Mo‐Lin Ge

In this paper, we study the multiphoton Jaynes-Cummings model (JCM) governed by the Milburn equation [G. J. Milburn, Phys. Rev. A 44, 5401 (1991); 47, 2415 (1993)], which models the decoherence of a quantum system as the quantum system evolves through intrinsic mechanisms beyond conventional quantum mechanics. We give an exact solution of this equation for the multiphoton Jaynes-Cummings Hamiltonian and apply it to investigate the influence of the intrinsic decoherence on nonclassical effects (atomic inversion, oscillations of the photon-number distribution, squeezing of the cavity field, and photon antibunching) in the JCM. It is shown that during the time evolution, the intrinsic decoherence in the atom-field interaction suppresses these nonclassical behaviors in the JCM.

Physical Review A•Sep 1, 1995•30 citations

Intrinsic decoherence in a system of three symmetric two-level atoms coupled to a single-mode cavity field

Tamer A. Seoudy

Abstract This work provides a theoretical study of a quantum system consisting of three two-level atoms coupled to a single-mode cavity field, focusing on the effects of intrinsic decoherence (ID). The system’s evolution is modeled using Milburn equation, with atoms initially excited and the field in a coherent state. The dynamics evolution of linear entropy (purity), the $$l_1$$ l 1 -norm (coherence), and the mean photon number (collapse-revival) are analyzed. The results indicate that, as the decoherence parameter $$\gamma$$ γ increases, purity and coherence decrease, and collapse-revival features are progressively suppressed. These findings highlight the key role of intrinsic decoherence in degrading the quantum properties of atom-field systems, which is essential for understanding and improving quantum technologies under intrinsic decoherence.

Optical and Quantum Electronics•Jul 24, 2025•2 citations
How the mean photon number,the probability of excited state and intrinsic decoherence coefficient influence the time evolution of entanglement is unknown,when a single-mode quantized optic field and a two-level atom coupling system is governed by Milburn equation.The Jaynes-Cummings model is considered.A lower bound of concurrence is proposed to calculate the entanglement.Simulation results indicate that the entanglement of system increases following the increasing of intrinsic decoherence coefficient or the decreasing of the mean photon number.Besides that,the entanglement of the system decreases,while the probability of the exited state increases from 0 to 0.1,and increases,while the probability of the exited state increases from 0.1 to 1.
Considering the interaction between two-mode SU(1,1) coherence states and a two-level atom, we find an exact solution of the Milburn equation for the system. We investigate the time evolution of the entanglement of field-atom and one of two modes of field using the quantum-reduced entropy and quantum relative entropy, respectively. The influences of intrinsic decoherence and two-mode photon number difference on the evolution of the entanglement of field-atom and one of two modes of field are discussed. It is shown that the entanglement of field-atom reduces to a stationary value with time evolution and the entanglement between two modes increases to another stationary value with intrinsic decoherence, and the values only depend on the two-mode photon number and mean photon number.
In the consideration of Milburn model of intrinsic decoherence,we investigate the entanglement between two two-level atoms interacting with a Fock state of single-mode quantized radiation field.The reduced density matrix of the atom system is given explicitly.Due to the intrinsic decoherence,the entanglement of the atoms will decrease as the evolution of the system.And finally,the atoms system will approach a stationary state which the stationary entanglement depends on the initial states of the field and the atoms.Here,the entanglement is calculated by making use of the concurrence.
We investigate the time evolution of the entanglement in the interacting system of a single two-level atom and a single mode coherence field with phase decoherence and discuss the influences of the coupling constant of light and atoms,mean photon number of light and detuning.The results show that the oscillating frequency of the entanglement of the system will increase with the increasing of the coupling constant of light and atoms and the mean photon number of light.The influence of the detuning on time evolution of the entanglement is obvious without phase decoherence and the quantum state of the field and atom will stay in a most entangled state for a long time when the detuning is proper.The phase decoherence causes the fading of entanglement when the system is resonant and it will fade to zero at last.The entanglement of the system is a fading oscillation at first with phase decoherence.The detuning restrains the phase decoherence with the time evolution.In this case the entanglement of the system will not fade to zero at last.The oscillating amplitude of the entanglement is lessening at first and the entanglement will quickly become a constant value with the increasing of detuning.The system will stay in an entangled state with phase decoherence if the detuning is proper.
In this paper, we study the influence of the intrinsic decoherence on quantum statistical properties of a generalized nonlinear interacting atom–field system, i.e., the nondegenerate two-photon f-deformed Jaynes–Cummings model governed by the Milburn equation. The model contains the nonlinearities of both the cavity–field and the atom–field coupling. Until now, very few exact solutions of nonlinear systems that include a form of decoherence have been presented. The main achievement of the present work is to find exact analytical solutions for the quantum dynamics of the nonlinear model under consideration in the presence of intrinsic decoherence. With the help of a supersymmetric transformation, we first put the model Hamiltonian into an appropriate form for treating the intrinsic decoherence. Then, by applying the superoperator technique, we find an exact solution of the Milburn equation for a nondegenerate two-photon f-deformed Jaynes–Cummings model. We use this solution to investigate the effects of the intrinsic decoherence on temporal evolution of various nonclassical properties of the system, i.e., atomic population inversion, atomic dipole squeezing, atom–field entanglement, sub-Poissonian photon statistics, cross correlation between the two modes and quadrature squeezing of the cavity field. Particularly, we compare the numerical results for three different cases of two-mode deformed, one-mode deformed, and nondeformed Jaynes–Cummings models. PACS Nos.: 42.50.Ct, 42.50.Dv, 03.65.Yz
In this paper, we study the multiphoton Jaynes-Cummings model (JCM) governed by the Milburn equation [G. J. Milburn, Phys. Rev. A 44, 5401 (1991); 47, 2415 (1993)], which models the decoherence of a quantum system as the quantum system evolves through intrinsic mechanisms beyond conventional quantum mechanics. We give an exact solution of this equation for the multiphoton Jaynes-Cummings Hamiltonian and apply it to investigate the influence of the intrinsic decoherence on nonclassical effects (atomic inversion, oscillations of the photon-number distribution, squeezing of the cavity field, and photon antibunching) in the JCM. It is shown that during the time evolution, the intrinsic decoherence in the atom-field interaction suppresses these nonclassical behaviors in the JCM.
Abstract This work provides a theoretical study of a quantum system consisting of three two-level atoms coupled to a single-mode cavity field, focusing on the effects of intrinsic decoherence (ID). The system’s evolution is modeled using Milburn equation, with atoms initially excited and the field in a coherent state. The dynamics evolution of linear entropy (purity), the l1l_1l1​ l 1 -norm (coherence), and the mean photon number (collapse-revival) are analyzed. The results indicate that, as the decoherence parameter γ\gammaγ γ increases, purity and coherence decrease, and collapse-revival features are progressively suppressed. These findings highlight the key role of intrinsic decoherence in degrading the quantum properties of atom-field systems, which is essential for understanding and improving quantum technologies under intrinsic decoherence.