Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Acta Sinica Quantum Optica

Two-atom Entanglement Evolution Characteristics in Kerr-media Environment

Shao-Jiang Du, Yun‐Jie Xia

Published Jan 1, 2011• 0 citations
OpenAlex

Abstract

One of the initial entangled two-atom interact with a high-Q cavity in the single-mode light field.Using the partially transposed matrix of negative eigenvalues(negativity) method we analyse the two-atom entanglement characteristics in a vacuum field,Fock state field and Kerr-media environment,and find that the entanglement of two atoms periodically oscillates in vacuum field,while in the number of particles field entanglement sudden death phenomenon occurs.When the atomic system interacts with the Kerr medium,we obtain that the phenomenon of entanglement sudden death can be eliminated in the particle-number field,and the entanglement of two-atom oscillates aroud a high-value state under certain conditions.

Related papers

Dynamics of Entanglement in the Cavity with Nonlinear Medium

Shao-Jiang Du, Hairan Feng

We investigate the evolution of initial entangled two-atom in cavity with single-mode light field. Using the method of negative eigenvalue of partially transposed matrix we analysis the evolution of the entanglement of the two-atom in a field of number state and Kerr-media environment and find that entanglement sudden death phenomenon occurs in the number of particles field. When the atoms interact with the Kerr medium, we obtain that the phenomenon of sudden death can be eliminated in the particle-number field, and the entanglement of two-atom oscillates around a high-value.

Journal of Modern Physics•Jan 1, 2013•1 citation

The Influence of Population Field on the Two-atom Entanglement Evolution

Shao-Jiang Du

By using the negativity method,we study the entanglement dynamics of two entangled atoms,which are in two levels,that go through the high Q fields in the Fock state one by one.The results shows that the initial state of the two-atom and the field in the Fock state are influenced by the entanglement dynamics of two atoms,and we also make the significant comparison of the two-atom entanglement evolutions in the condition that the two atoms are laid in the QED at the same time.We find that: when the cavity field is in the vacuum state,the two-atom entanglements under these two models evolve periodicity;when we choose the cavity field in a Fock state,the entanglement between the two atoms can appear tobe the phenomenon of entanglement sudden death.Furthermore,we investigate the entanglement transfer problem and the relationship among entanglement sudden death,the initial state,and the number of the Fock state.

Acta Sinica Quantum Optica•Jan 1, 2009•0 citations

Sudden Death and Sudden Birth of Entanglement Between Two Atoms Successively Passing Fock State Field

Gao De-ying

The dynamics of entanglement of two initially separate atoms passing through a cavity one after another is studied by the negativity method.The effects of the two atom initial states and the field in the fock state on the time evolution of atom-atom entanglement are examined.The phenomenon of sudden birth and death of entanglement occurs when the photon number in the fock state is not zero and the phenomenon will change with the two atom initial states and the photon number.

Journal of Hebei Normal University•Jan 1, 2011•0 citations

Control of entanglement sudden death by Kerr medium

Qiang Zheng, Xiaoping Zhang, Zhongzhou Ren

The entanglement dynamics of system, where atoms A and B interact with single mode cavity fields a and b respectively, is studied. The interaction between atom A and cavity a may be described by using the typical Jaynes–Cummings model, while that between the atom B and cavity b filled with a Kerr medium is of a two-photon process. For a certain initial atom entanglement state, there is an entanglement sudden death effect between the two atoms. The Kerr medium in the cavity b can effectively prevent the undesirable entanglement sudden death from occurring. Also, from the viewpoint of the population dynamics, we discuss why the Kerr medium can do so.

Chinese Physics B•Oct 1, 2008•15 citations

The Impact of Kerr Medium on the Evolution Characteristics of Entanglement Degree in the Intensity-dependent Coupling J-C Model

Wang Ju-xia

The evolution properties of entanglement degree between the light fields and atoms in the additional Kerr medium intensity-dependent coupling J-C model is researched by use of the method of part of the density matrix transpose matrix of negative eigenvalue,and the influence of Kerr medium on entanglement degree can be discussed as well.It is found that the time evolution of atom-field entanglement degree oscillate periodically.The period depends on the strengths of the field-atom coupling and field-medium interaction,and the period becomes smaller with the increase of the strengths.The cycle will reduce gradually with the intensity increasing.The entanglement degree reduces significantly with the number of photons rising or with the strengths of the field-atom coupling and field-medium interaction increasing.The initial state of the field plays an important role in the atom-field entanglement degree.

•Jan 1, 2011•0 citations

Influence of a detuning and Kerr nonlinearity on atom-atom entanglement in a double two-photon Jaynes-Cummings model

Eugene K. Bashkirov

In this paper, we have investigated the entanglement dynamics between two identical two-level atoms in the framework of two-photon double Jaynes-Cummings model taking into account the detuning between atoms and twice cavities frequencies and Kerr nonlinearities in both cavities. We have carried out the temporal dependence of the atom-atom negativity for Bell’s initial entangled atomic states. The results show that these parameters have great impact on the amplitudes of the atom-atom entanglement oscillations and that presence of detuning and Kerr nonlinearity lead to stabilization of entanglement for all Bell-types initial atomic states. For a certain initial atomic entangled states, there is an entanglement sudden death effect between the two atoms. The detuning and Kerr medium in the cavities can prevent the undesirable entanglement sudden death from occurring.

Saratov Fall Meeting: Laser Physics, Photonic Technologies, and Molecular Modeling•Apr 9, 2020•0 citations
One of the initial entangled two-atom interact with a high-Q cavity in the single-mode light field.Using the partially transposed matrix of negative eigenvalues(negativity) method we analyse the two-atom entanglement characteristics in a vacuum field,Fock state field and Kerr-media environment,and find that the entanglement of two atoms periodically oscillates in vacuum field,while in the number of particles field entanglement sudden death phenomenon occurs.When the atomic system interacts with the Kerr medium,we obtain that the phenomenon of entanglement sudden death can be eliminated in the particle-number field,and the entanglement of two-atom oscillates aroud a high-value state under certain conditions.
We investigate the evolution of initial entangled two-atom in cavity with single-mode light field. Using the method of negative eigenvalue of partially transposed matrix we analysis the evolution of the entanglement of the two-atom in a field of number state and Kerr-media environment and find that entanglement sudden death phenomenon occurs in the number of particles field. When the atoms interact with the Kerr medium, we obtain that the phenomenon of sudden death can be eliminated in the particle-number field, and the entanglement of two-atom oscillates around a high-value.
By using the negativity method,we study the entanglement dynamics of two entangled atoms,which are in two levels,that go through the high Q fields in the Fock state one by one.The results shows that the initial state of the two-atom and the field in the Fock state are influenced by the entanglement dynamics of two atoms,and we also make the significant comparison of the two-atom entanglement evolutions in the condition that the two atoms are laid in the QED at the same time.We find that: when the cavity field is in the vacuum state,the two-atom entanglements under these two models evolve periodicity;when we choose the cavity field in a Fock state,the entanglement between the two atoms can appear tobe the phenomenon of entanglement sudden death.Furthermore,we investigate the entanglement transfer problem and the relationship among entanglement sudden death,the initial state,and the number of the Fock state.
The entanglement dynamics of system, where atoms A and B interact with single mode cavity fields a and b respectively, is studied. The interaction between atom A and cavity a may be described by using the typical Jaynes–Cummings model, while that between the atom B and cavity b filled with a Kerr medium is of a two-photon process. For a certain initial atom entanglement state, there is an entanglement sudden death effect between the two atoms. The Kerr medium in the cavity b can effectively prevent the undesirable entanglement sudden death from occurring. Also, from the viewpoint of the population dynamics, we discuss why the Kerr medium can do so.
The evolution properties of entanglement degree between the light fields and atoms in the additional Kerr medium intensity-dependent coupling J-C model is researched by use of the method of part of the density matrix transpose matrix of negative eigenvalue,and the influence of Kerr medium on entanglement degree can be discussed as well.It is found that the time evolution of atom-field entanglement degree oscillate periodically.The period depends on the strengths of the field-atom coupling and field-medium interaction,and the period becomes smaller with the increase of the strengths.The cycle will reduce gradually with the intensity increasing.The entanglement degree reduces significantly with the number of photons rising or with the strengths of the field-atom coupling and field-medium interaction increasing.The initial state of the field plays an important role in the atom-field entanglement degree.
In this paper, we have investigated the entanglement dynamics between two identical two-level atoms in the framework of two-photon double Jaynes-Cummings model taking into account the detuning between atoms and twice cavities frequencies and Kerr nonlinearities in both cavities. We have carried out the temporal dependence of the atom-atom negativity for Bell’s initial entangled atomic states. The results show that these parameters have great impact on the amplitudes of the atom-atom entanglement oscillations and that presence of detuning and Kerr nonlinearity lead to stabilization of entanglement for all Bell-types initial atomic states. For a certain initial atomic entangled states, there is an entanglement sudden death effect between the two atoms. The detuning and Kerr medium in the cavities can prevent the undesirable entanglement sudden death from occurring.