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

Symposium on Photonics and Optoelectronics

Entanglement Dynamics of the Bipartite System in Common Reservoir

Xiangyang Yu, Jianhong Li

Published Jun 1, 2010• 0 citations
Publisher

Abstract

Within the framework of semi-classical theory of light and matter, we investigate the entanglement dynamics of the bipartite system consisting of two identical and interacting two-level atoms by means of concurrence, which are coupled to the common reservoir and driven by external time-dependent laser field. Numerical results reveal that for these initially entangled states, the bipartite system undergoes entanglement sudden death (ESD) and birth (ESB), and stable entanglement always occur irrespective of dissipation. Besides, the coupling strength of the electric dipole-dipole will have remarkable effects on the entanglement dynamics, like accelerating the ESD and ESB. However, these conclusions are not applicable to other initially entangled states.

DOI
10.1109/sopo.2010.5504292

Related papers

Coherent and Ultrafast Manipulation of Entanglement Sudden Death and Revival

Xiangyang Yu, Jianhong Li

Within the framework of semi-classical theory of light and matter, we investigate the entanglement dynamics of the bipartite system consisting of two identical and interacting two-level atoms in QED by use of concurrence, which are driven by coherent double ultra-short laser pulses divided by diverse phase differences. Results show that under different detuning, the phase difference can exert significant influence on the entanglement evolution, such as delaying or accelerating entanglement sudden death (ESB) and revival (ESR). Furthermore, with the increment of detuning, ESD and ESR disappear irrespective of various phase differences.

Symposium on Photonics and Optoelectronics•Jun 1, 2010•0 citations

Coherent and ultrafast manipulation of entanglement sudden death and recurrence

Xiangyang Yu, Jianhong Li

We investigate the entanglement dynamics of the bipartite system, consisting of two interacting two-level atoms in QED, which are driven additionally by coherent double ultrashort laser pulses characterized by various phase differences. Results show that the relative phase difference can exert significant influence on the entanglement evolution, such as delaying or accelerating entanglement sudden death and recurrence (ESD and ESR). Furthermore, with the increase of detuning, ESD and ESR disappear, irrespective of various phase differences. Our analysis is helpful in manipulating entanglement.

Optics Letters•Aug 12, 2010•6 citations

Sudden death and sudden birth of atomic entanglement in double Jaynes-Cummings model composed of two coupled cavities

YU Zhong-Quan, Chen Fa-Hua, Chenglin Liu

The atomic entanglement dynamics is studied in the double Jaynes-Cummings model composed of two coupled cavities.Effect of the cavity-cavity coupling constant A and the atomic initial states on entanglement sudden death(ESD) and entanglement sudden birth(ESB) is analysed.By studying the atomic concurrence,it was shown that when the atomic initial states are the first kind Bell-like states,ESD and ESB doesn't appear,coupling of the cavities can increase the atomic entanglement and entanglement occurs even the initial states are disentangled.When the atomic initial states are the second kind Bell-like states,the time intervals between the ESD and ESB,and whether the ESD occurs or not are controlled by the coupling constant A.The atomic entanglement can't be produced by the coupling between the cavities when the atomic initial states are disentangled and in the second kind Bell-like states.

Chinese Journal of Quantum Electronics•Jan 28, 2011•0 citations

The entanglement dynamics of the bipartite quantum system: toward entanglement sudden death

Wei Cui, Zairong Xi, Yu Pan

We investigate the entanglement dynamics of the bipartite quantum system between two qubits with the dissipative environment. We begin with the standard Markovian master equation in the Lindblad form and the initial state which is prepared in the extended Werner-like state: ρ Φ AB (0). We examine the conditions for entanglement sudden death (ESD) and calculate the corresponding ESD time by the Wootters concurrence. We observe that ESD is determined by the parameters such as the mean occupation number of the environment N , amount of initial entanglement α and the purity r . For N = 0, we get the analytical expressions of both ESD condition and ESD time. For N > 0 we give a theoretical analysis that ESD always occurs, and simulate the concurrence as a function of γ 0 t and one of the parameters N , α and r .

arXiv:0910.5210•Journal of Physics A Mathematical and Theoretical•Dec 2, 2008•26 citations

Controlling entanglement sudden birth and sudden death of two-atom X-states in Tavis-Cummings model

Shan Chuan-Jia, Jibing Liu, Tao Chen +3 more

In this paper, we investigate the entanglement dynamics of two entangled two-level atoms with initial X state and dipole-dipole coupling intensity in Tavis-Cummings model. The interesting phenomena of entanglement sudden death as well as sudden birth appear during the evolution process. We analyze in detail the effect of purity of initially entangled state of two atoms, the dipole-dipole coupling intensity between two atoms, and the field in the Fock state on the apparition time of entanglement sudden death and entanglement sudden birth. Furthermore, the conditions for the conversion of entanglement sudden death and entanglement sudden birth can be generalized when the initial entangled state is not pure. The results show that the above system parameters affect the concurrence, entanglement sudden birth and sudden death remarkably, the dipole-dipole coupling intensity affects amplitudes of the concurrence oscillation and leads time interval of the ESD to decrease. With the increasing of the purity, the time of entanglement sudden death and entanglement sudden birth will decrease, it is also notable that invariant and stable entanglement, which can be controlled by different initial states of the atoms, occurs for particular initial X state.

Acta Physica Sinica•Jan 1, 2010•7 citations

Entanglement sudden birth and sudden death in a system of two distant atoms coupled via an optical element

Maryam Ashrafi, M. H. Naderi

An investigation is reported of the collective effects and the dynamics of atom–atom entanglement in a system of two distant two-level atoms which are coupled via an optical element. In the system under consideration, the two atoms, which are trapped in the foci of a lens, are coupled to a common environment being in the vacuum state and they emit photons spontaneously. A fraction of the emitted photons from each atom is thus focused on the position of the other atom. The presence of optical element between two distant atoms leads to the occurrence of delayed collective effects, such as delayed dipole–dipole interaction and delayed collective spontaneous emission, which play the crucial role in the dynamical behaviour of the entanglement. We discuss the phenomena of entanglement sudden birth, entanglement sudden death, and revival of entanglement for both cases of initial one-photon and initial two-photon unentangled atomic states. We show that the evolution of the entanglement is sensitive not only to the interatomic distance but also to the initial state of the system as well as to the properties of the optical element.

arXiv:2003.03650•Journal of Modern Optics•Feb 1, 2013•3 citations
Within the framework of semi-classical theory of light and matter, we investigate the entanglement dynamics of the bipartite system consisting of two identical and interacting two-level atoms by means of concurrence, which are coupled to the common reservoir and driven by external time-dependent laser field. Numerical results reveal that for these initially entangled states, the bipartite system undergoes entanglement sudden death (ESD) and birth (ESB), and stable entanglement always occur irrespective of dissipation. Besides, the coupling strength of the electric dipole-dipole will have remarkable effects on the entanglement dynamics, like accelerating the ESD and ESB. However, these conclusions are not applicable to other initially entangled states.
Within the framework of semi-classical theory of light and matter, we investigate the entanglement dynamics of the bipartite system consisting of two identical and interacting two-level atoms in QED by use of concurrence, which are driven by coherent double ultra-short laser pulses divided by diverse phase differences. Results show that under different detuning, the phase difference can exert significant influence on the entanglement evolution, such as delaying or accelerating entanglement sudden death (ESB) and revival (ESR). Furthermore, with the increment of detuning, ESD and ESR disappear irrespective of various phase differences.
We investigate the entanglement dynamics of the bipartite system, consisting of two interacting two-level atoms in QED, which are driven additionally by coherent double ultrashort laser pulses characterized by various phase differences. Results show that the relative phase difference can exert significant influence on the entanglement evolution, such as delaying or accelerating entanglement sudden death and recurrence (ESD and ESR). Furthermore, with the increase of detuning, ESD and ESR disappear, irrespective of various phase differences. Our analysis is helpful in manipulating entanglement.
The atomic entanglement dynamics is studied in the double Jaynes-Cummings model composed of two coupled cavities.Effect of the cavity-cavity coupling constant A and the atomic initial states on entanglement sudden death(ESD) and entanglement sudden birth(ESB) is analysed.By studying the atomic concurrence,it was shown that when the atomic initial states are the first kind Bell-like states,ESD and ESB doesn't appear,coupling of the cavities can increase the atomic entanglement and entanglement occurs even the initial states are disentangled.When the atomic initial states are the second kind Bell-like states,the time intervals between the ESD and ESB,and whether the ESD occurs or not are controlled by the coupling constant A.The atomic entanglement can't be produced by the coupling between the cavities when the atomic initial states are disentangled and in the second kind Bell-like states.
We investigate the entanglement dynamics of the bipartite quantum system between two qubits with the dissipative environment. We begin with the standard Markovian master equation in the Lindblad form and the initial state which is prepared in the extended Werner-like state: ρ Φ AB (0). We examine the conditions for entanglement sudden death (ESD) and calculate the corresponding ESD time by the Wootters concurrence. We observe that ESD is determined by the parameters such as the mean occupation number of the environment N , amount of initial entanglement α and the purity r . For N = 0, we get the analytical expressions of both ESD condition and ESD time. For N > 0 we give a theoretical analysis that ESD always occurs, and simulate the concurrence as a function of γ 0 t and one of the parameters N , α and r .
In this paper, we investigate the entanglement dynamics of two entangled two-level atoms with initial X state and dipole-dipole coupling intensity in Tavis-Cummings model. The interesting phenomena of entanglement sudden death as well as sudden birth appear during the evolution process. We analyze in detail the effect of purity of initially entangled state of two atoms, the dipole-dipole coupling intensity between two atoms, and the field in the Fock state on the apparition time of entanglement sudden death and entanglement sudden birth. Furthermore, the conditions for the conversion of entanglement sudden death and entanglement sudden birth can be generalized when the initial entangled state is not pure. The results show that the above system parameters affect the concurrence, entanglement sudden birth and sudden death remarkably, the dipole-dipole coupling intensity affects amplitudes of the concurrence oscillation and leads time interval of the ESD to decrease. With the increasing of the purity, the time of entanglement sudden death and entanglement sudden birth will decrease, it is also notable that invariant and stable entanglement, which can be controlled by different initial states of the atoms, occurs for particular initial X state.
An investigation is reported of the collective effects and the dynamics of atom–atom entanglement in a system of two distant two-level atoms which are coupled via an optical element. In the system under consideration, the two atoms, which are trapped in the foci of a lens, are coupled to a common environment being in the vacuum state and they emit photons spontaneously. A fraction of the emitted photons from each atom is thus focused on the position of the other atom. The presence of optical element between two distant atoms leads to the occurrence of delayed collective effects, such as delayed dipole–dipole interaction and delayed collective spontaneous emission, which play the crucial role in the dynamical behaviour of the entanglement. We discuss the phenomena of entanglement sudden birth, entanglement sudden death, and revival of entanglement for both cases of initial one-photon and initial two-photon unentangled atomic states. We show that the evolution of the entanglement is sensitive not only to the interatomic distance but also to the initial state of the system as well as to the properties of the optical element.