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Journal of Optoelectronics·laser

Generation of Three-qubit Entangled and W-entangled State in Tavis-Cummings Model

Yun‐Jie Xia

Published Jan 1, 2004• 0 citations
OpenAlex

Abstract

The three-qubit entangled state in Tavis-Cummings model for two identically steady two-level atoms interacting with single mode field can be generated when the atom-field interaction is far from atom-atom interaction.By analyzing three-qubit entanglement of the system,we obtain that the entanglement of the system will change with the variation of system initial state,coupling coefficients between atom and field or atoms.Especially,when the initial state is special,the system will stay in W-entangled state.The necessary condition for generating W-state is that the coupling constant between two atoms is more less than that of between an atom and field.

Related papers

Influence of Coupling Coefficients on Three-body Entanglement Measure in Tavis-Cummings Model

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The quantum entanglement of the Tavis-Cummings model for two identical two-level atoms interacting with a single-mode field is considered.When the field is one photon and the two atoms stay in ground states initially,it is abtained that the system will evolve to a three-body approximate state.The result shows that every entanglement measure of the system will be reduced when atomic coupling coefficient is larger than coupling coefficient between field and atom,and the entanglement measure of atoms and the entanglement measure between two atoms with field will be reduced more quickly.Meanwhile,every entanglement measure periodic will be also shortened relevantly.

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The evolution property of three-body entanglement measure in Tavis-Cummings mode l

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Abstract In this paper, we demonstrate the exact solution of the nonstationary Schrodinger equation for the Tavis–Cummings model, in which three identical two-level atoms (qubits) are prepared in an arbitrary superposition of 8 Hilbert space vectors and which resonantly interact with a coherent resonator field mode of any intensity. The exact solution was used to calculate the parameters of atom–atom and atom-field entanglement: linear entropy, pairwise and three-particle negativity, and population inversion of three atoms. The results of computer modeling have shown that the degree of correlation between the atoms and the resonator field can significantly depend on the initial state of the atoms. Separable, biseparable, and genuine entangled W -type states demonstrate a high rate of energy exchange between atoms and the resonator field mode and the effect of sudden death of pairwise entanglement of atoms. On the contrary, all GHZ-states exhibit stable pairwise and three-particle entanglement between atoms and a slow rate of energy exchange between atoms and the resonator field mode. We also demonstrate the effect of the sudden death of three-particle entanglement for various states of atoms, the collapse and revival of the Rabi oscillations of the population inversion of three atoms, and the effect of the transition of entanglement from a subsystem of atoms to the total system. These results can be used for optimal operation of quantum networks.

Laser Physics•Feb 27, 2026•1 citation

INFLUENCE OF INTRINSIC DECOHERENCE ON THE ENTANGLEMENT BETWEEN TWO ATOMS IN TAVIS–CUMMINGS MODEL

Chuan-Jia Shan, W. W. Cheng, Tang-Kun Liu +3 more

Considering the dipole–dipole coupling intensity between two atoms and the field in the Fock state, the entanglement dynamics between two atoms that are initially entangled in the Tavis–Cummings model with intrinsic decoherence have been investigated. The two-atom entanglement appears with periodicity without considering intrinsic decoherence. However, the intrinsic decoherence causes the decay of entanglement between two atoms, with the decrease of the intrinsic decoherence coefficient, the entanglement will quickly become a constant value, which is affected by the two-atom initial state, the dipole–dipole coupling intensity and the field in the Fock state. Meanwhile, the two-atom quantum state will stay forever in the maximal entangled state when the initial state is proper, even in the presence of intrinsic decoherence. Furthermore, the two atoms can generate maximal entangled state even if they are initially separated by adjusting the dipole–dipole interaction, the strong coupling can improve the value of entanglement.

International Journal of Quantum Information•Feb 1, 2008•0 citations
The three-qubit entangled state in Tavis-Cummings model for two identically steady two-level atoms interacting with single mode field can be generated when the atom-field interaction is far from atom-atom interaction.By analyzing three-qubit entanglement of the system,we obtain that the entanglement of the system will change with the variation of system initial state,coupling coefficients between atom and field or atoms.Especially,when the initial state is special,the system will stay in W-entangled state.The necessary condition for generating W-state is that the coupling constant between two atoms is more less than that of between an atom and field.
The quantum entanglement of the Tavis-Cummings model for two identical two-level atoms interacting with a single-mode field is considered.When the field is one photon and the two atoms stay in ground states initially,it is abtained that the system will evolve to a three-body approximate state.The result shows that every entanglement measure of the system will be reduced when atomic coupling coefficient is larger than coupling coefficient between field and atom,and the entanglement measure of atoms and the entanglement measure between two atoms with field will be reduced more quickly.Meanwhile,every entanglement measure periodic will be also shortened relevantly.
This paper studies the quantum entanglement of the Tavis-Cummings model for two steady identical two-level atoms interac-ting with a single-mode field. Whe n the field is vacuum and the two atoms stay in Einstein-Podolsky-Rosem entangle d state or disentangled state initially, we obtain that the system will evol ve to a three-body approximate W entangled state. The entanglement measure will change with the variation of system initial state, coupling coefficients, detuni ng degree and atomic population inversion. It should be noted that the atomic co upling coefficient exhibits the nonlinear effect and the entanglement measure os cillates periodically in accordance with atomic population inversion.
The case that one of the two entangled identical two-level atoms interacts with a single-mode field among three-body entanglement was mainly considered. The results show that in initial the more the degree of entanglement of the two entangled atoms have, the more oscillation of the entanglement measure will have,and the more times of the maximally entanglement measure will obtain. Meanwhile, it was found that entanglement measure will be reduced when atomic coupling coefficient is larger than coupling coefficient between field and atom.
We investigate the entanglement time evolution of two entangled two-level atoms that interact resonantly with a single-mode field in the Fock state. The results show that the two-atom entanglement state appears with periodicity. The influence of the two-atom initial state, the dipole-dipole coupling intensity between two atoms, and the field in the Fock state on the entanglement degree of two atoms are revealed. Meanwhile the two-atom quantum state will forever stay in the maximum entangled state when the initial state is proper.
Abstract In this paper, we demonstrate the exact solution of the nonstationary Schrodinger equation for the Tavis–Cummings model, in which three identical two-level atoms (qubits) are prepared in an arbitrary superposition of 8 Hilbert space vectors and which resonantly interact with a coherent resonator field mode of any intensity. The exact solution was used to calculate the parameters of atom–atom and atom-field entanglement: linear entropy, pairwise and three-particle negativity, and population inversion of three atoms. The results of computer modeling have shown that the degree of correlation between the atoms and the resonator field can significantly depend on the initial state of the atoms. Separable, biseparable, and genuine entangled W -type states demonstrate a high rate of energy exchange between atoms and the resonator field mode and the effect of sudden death of pairwise entanglement of atoms. On the contrary, all GHZ-states exhibit stable pairwise and three-particle entanglement between atoms and a slow rate of energy exchange between atoms and the resonator field mode. We also demonstrate the effect of the sudden death of three-particle entanglement for various states of atoms, the collapse and revival of the Rabi oscillations of the population inversion of three atoms, and the effect of the transition of entanglement from a subsystem of atoms to the total system. These results can be used for optimal operation of quantum networks.
Considering the dipole–dipole coupling intensity between two atoms and the field in the Fock state, the entanglement dynamics between two atoms that are initially entangled in the Tavis–Cummings model with intrinsic decoherence have been investigated. The two-atom entanglement appears with periodicity without considering intrinsic decoherence. However, the intrinsic decoherence causes the decay of entanglement between two atoms, with the decrease of the intrinsic decoherence coefficient, the entanglement will quickly become a constant value, which is affected by the two-atom initial state, the dipole–dipole coupling intensity and the field in the Fock state. Meanwhile, the two-atom quantum state will stay forever in the maximal entangled state when the initial state is proper, even in the presence of intrinsic decoherence. Furthermore, the two atoms can generate maximal entangled state even if they are initially separated by adjusting the dipole–dipole interaction, the strong coupling can improve the value of entanglement.