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Entropy and entanglement in the Jaynes–Cummings model with effects of cavity damping

Research Abstract

The temporal evolution of entanglement for a single-mode field interacting with a two-level
atom via intensity-dependent coupling in the off-resonant case has been studied, where the
leakage of photon through the cavity is taken into account. The effects of cavity damping on
the coherence properties of the atom and the field are studied. The amount of entanglement is
compared with the total correlations. It is found that the atom–field system is inhibited from
going into a pure state in the off-resonant case.

Research Authors
A-S F Obada, H A Hessian and A-B A Mohamed
Research Department
Research Journal
PHYSICS B: ATOMIC, MOLECULAR AND OPTICAL PHYSICS
Research Member
Research Rank
1
Research Website
http://iopscience.iop.org/0953-4075/41/13/135503
Research Year
2008

Entanglement and Its Dynamics with Atomic Spontaneous Decay

Research Abstract

The atomic decay for a two-level atom interacting with a single mode of electromagnetic field is considered. For a
chosen initial state, the exact solution of the master equation is found. Therefore, effect of the atomic damping on
entanglement (purity loss), degree of entanglement by the negativity, mutual information and atomic coherence
through the master equation are studied.

Research Authors
H. A. Hessian, A. -B. A. Mohamed
Research Department
Research Journal
Chinese Physics Letters
Research Rank
1
Research Vol
Vol. 25, No.7
Research Website
http://iopscience.iop.org/0256-307X/25/7/044/
Research Year
2008

Entanglement and Its Dynamics with Atomic Spontaneous Decay

Research Abstract

The atomic decay for a two-level atom interacting with a single mode of electromagnetic field is considered. For a
chosen initial state, the exact solution of the master equation is found. Therefore, effect of the atomic damping on
entanglement (purity loss), degree of entanglement by the negativity, mutual information and atomic coherence
through the master equation are studied.

Research Authors
H. A. Hessian, A. -B. A. Mohamed
Research Department
Research Journal
Chinese Physics Letters
Research Member
Research Rank
1
Research Vol
Vol. 25, No.7
Research Website
http://iopscience.iop.org/0256-307X/25/7/044/
Research Year
2008

The effects of thermal photons on entanglement dynamics for a dispersive Jaynes–Cummings model

Research Abstract

Using the master equation, we give a fully analytical description of the dynamics of an atom dispersively coupled to a field mode in a dissipative
cavity. The effects of thermal photons ( ¯n = 0) on entanglement and coherence loss are investigated. It is found that the field is inhibited from going
into a pure state and coherence is lost faster than in the case of zero temperature ( ¯n = 0).

Research Authors
A.-S.F. Obada , H.A. Hessian , A.-B.A. Mohamed
Research Department
Research Journal
Physics Letters A
Research Pages
PP. 3699–3706
Research Rank
1
Research Vol
Vol. 372, No. 20
Research Website
http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TVM-4RXJYM3-3&_user=1052409&_coverDate=05%2F12%2F2008&_rdoc=1&_fmt=high</br>&_orig=search&_sort=d&_docanchor=&view=c&_searchStrId=1432988170</br>&_rerunOrigin=google&_acct=C000051060&_version
Research Year
2008

The effects of thermal photons on entanglement dynamics for a dispersive Jaynes–Cummings model

Research Abstract

Using the master equation, we give a fully analytical description of the dynamics of an atom dispersively coupled to a field mode in a dissipative
cavity. The effects of thermal photons ( ¯n = 0) on entanglement and coherence loss are investigated. It is found that the field is inhibited from going
into a pure state and coherence is lost faster than in the case of zero temperature ( ¯n = 0).

Research Authors
A.-S.F. Obada , H.A. Hessian , A.-B.A. Mohamed
Research Department
Research Journal
Physics Letters A
Research Member
Research Pages
PP. 3699–3706
Research Rank
1
Research Vol
Vol. 372, No. 20
Research Website
http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TVM-4RXJYM3-3&_user=1052409&_coverDate=05%2F12%2F2008&_rdoc=1&_fmt=high</br>&_orig=search&_sort=d&_docanchor=&view=c&_searchStrId=1432988170</br>&_rerunOrigin=google&_acct=C000051060&_version
Research Year
2008

Combined Effect of Dissipation and Thermal Mixed State on Entanglement in the Dispersive Limit

Research Abstract

We investigate the entanglement in the interacting system of a single mode thermal field and a single qubit
with dissipation in the dispersive limit. The influence of initial temperature of thermal field and atoms on the
entanglement is then examined

Research Authors
OBADA A. -S. F., HESSIAN H. A., MOHAMED A. -B. A
Research Department
Research Journal
Chinese Physics Letters
Research Rank
1
Research Vol
Vol. 25, No. 3
Research Website
http://iopscience.iop.org/0256-307X/25/3/039
Research Year
2008

Combined Effect of Dissipation and Thermal Mixed State on Entanglement in the Dispersive Limit

Research Abstract

We investigate the entanglement in the interacting system of a single mode thermal field and a single qubit
with dissipation in the dispersive limit. The influence of initial temperature of thermal field and atoms on the
entanglement is then examined

Research Authors
OBADA A. -S. F., HESSIAN H. A., MOHAMED A. -B. A
Research Department
Research Journal
Chinese Physics Letters
Research Member
Research Rank
1
Research Vol
Vol. 25, No. 3
Research Website
http://iopscience.iop.org/0256-307X/25/3/039
Research Year
2008

Effects of Atomic Motion on the Entropies and Entanglement for a JC Model with a Mixed State Input

Research Abstract

In this article, we study the effects of the atomic motion and the field-mode structure on
the entropies and entanglement of a generalized JC model. We have investigated different
forms of the intensity dependent function on the evolution of the entropies and entanglement
in the case of a coherent superposition state and a statistical mixture of coherent states as
the initial field states. We investigate the partial entropy of the atom and field subsystems
numerically. The setting of the initial state of the field-mode and the atomic motion plays
an important role in the evolution of the sub-entropies and entanglement.

Research Authors
A.-S. F. Obada, H. A. Hessian, and A.-B. A. Mohamed
Research Department
Research Journal
CHINESE JOURNAL OF PHYSICS
Research Rank
1
Research Vol
Vol. 45, No. 4
Research Website
http://PSROC.phys.ntu.edu.tw/cjp
Research Year
2007

Effects of Atomic Motion on the Entropies and Entanglement for a JC Model with a Mixed State Input

Research Abstract

In this article, we study the effects of the atomic motion and the field-mode structure on
the entropies and entanglement of a generalized JC model. We have investigated different
forms of the intensity dependent function on the evolution of the entropies and entanglement
in the case of a coherent superposition state and a statistical mixture of coherent states as
the initial field states. We investigate the partial entropy of the atom and field subsystems
numerically. The setting of the initial state of the field-mode and the atomic motion plays
an important role in the evolution of the sub-entropies and entanglement.

Research Authors
A.-S. F. Obada, H. A. Hessian, and A.-B. A. Mohamed
Research Department
Research Journal
CHINESE JOURNAL OF PHYSICS
Research Member
Research Rank
1
Research Vol
Vol. 45, No. 4
Research Website
http://PSROC.phys.ntu.edu.tw/cjp
Research Year
2007

Entropy and entanglement in the mixed state for a dispersive JC model in a phase-damped cavity

Research Abstract

Temporal evolution is studied for total entropy, the entropy difference and the sum of negative eigenvalues of the partially transposed
density matrix as quantitative entanglement measurements for JC model in a phase-damped cavity in the dispersive approximation. The
cavity field is assumed to be coupled to a reservoir with a phase-damping coupling. The case of a statistical mixture (SM) of coherent
states is considered as initial field state. The effects of cavity phase damping on the entanglement between the field and the atom are
studied.

Research Authors
A.-S.F. Obada , H.A. Hessian , A.-B.A. Mohamed
Research Department
Research Journal
Optics Communications
Research Pages
PP. 230–235
Research Publisher
Elsevier
Research Rank
1
Research Vol
Vol. 280, No. 1
Research Website
http://www.sciencedirect.com/science?_ob=ArticleURL</br>&_udi=B6TVF-4PNF05M-1&_user=1052409&_coverDate=12%2F01%2F2007&_rdoc=1&_fmt=high</br>&_orig=search&_sort=d&_docanchor=&view=c&_searchStrId=1432970345</br>&_rerunOrigin=google&_acct=C000051060&_version
Research Year
2007
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