Skip to main content

Effects of cavity damping on the entanglement for a three-level atomic system

Research Abstract

Based on the master equation for the density matrix, the dynamics of the entanglement of the three-level atom
interacting with single-mode field in a finite-Q cavity are studied. It was found that the cavity damping leads to
growing entropy and a strong degradation of the entanglement, therefore the coherence loss and entanglement is
very sensitive to any change in the cavity damping parameter.

Research Authors
A.-S.F. Obada, H.A. Hessian and A.-B.A. Mohamed
Research Department
Research Journal
Modern Optics
Research Pages
PP. 881–885
Research Rank
1
Research Vol
Vol. 56, No. 7
Research Website
http://www.informaworld.com/smpp/1247841736-9905043/ftinterface~db=all~content=a909917695~fulltext=713240928
Research Year
2009

Effects of cavity damping on the entanglement for a three-level atomic system

Research Abstract

Based on the master equation for the density matrix, the dynamics of the entanglement of the three-level atom
interacting with single-mode field in a finite-Q cavity are studied. It was found that the cavity damping leads to
growing entropy and a strong degradation of the entanglement, therefore the coherence loss and entanglement is
very sensitive to any change in the cavity damping parameter.

Research Authors
A.-S.F. Obada, H.A. Hessian and A.-B.A. Mohamed
Research Department
Research Journal
Modern Optics
Research Member
Research Pages
PP. 881–885
Research Rank
1
Research Vol
Vol. 56, No. 7
Research Website
http://www.informaworld.com/smpp/1247841736-9905043/ftinterface~db=all~content=a909917695~fulltext=713240928
Research Year
2009

Entropy and Entanglement in Master Equation of Effective Hamiltonian for Jaynes–Cummings Model

Research Abstract

In this paper, we analytically solve the master equation for Jaynes–Cummings model in the dispersive regime including phase damping and the field is assumed to be initially in a superposition of coherent states. Using an established entanglement measure based on the negativity of the eigenvalues of the partially transposed density matrix we find a very strong sensitivity of the maximally generated entanglement to the amount of phase damping. Qualitatively this behavior is also reflected in alternative entanglement measures, but the quantitative agreement between different measures depends on the chosen noise model. The phase decoherence for this model results in monotonic increase in the total entropy while the atomic sub-entropy keeps its periodic behaviour without any effect

Research Authors
H.A. Hessian, F.A. Mohammed, and A.-B.A. Mohamed
Research Department
Research Journal
Communications in Theoretical Physics
Research Pages
PP. 723–728
Research Rank
1
Research Vol
Vol. 51, No. 4
Research Website
http://iopscience.iop.org/0253-6102/51/4/27
Research Year
2009

Entropy and Entanglement in Master Equation of Effective Hamiltonian for Jaynes–Cummings Model

Research Abstract

In this paper, we analytically solve the master equation for Jaynes–Cummings model in the dispersive regime including phase damping and the field is assumed to be initially in a superposition of coherent states. Using an established entanglement measure based on the negativity of the eigenvalues of the partially transposed density matrix we find a very strong sensitivity of the maximally generated entanglement to the amount of phase damping. Qualitatively this behavior is also reflected in alternative entanglement measures, but the quantitative agreement between different measures depends on the chosen noise model. The phase decoherence for this model results in monotonic increase in the total entropy while the atomic sub-entropy keeps its periodic behaviour without any effect

Research Authors
H.A. Hessian, F.A. Mohammed, and A.-B.A. Mohamed
Research Department
Research Journal
Communications in Theoretical Physics
Research Member
Research Pages
PP. 723–728
Research Rank
1
Research Vol
Vol. 51, No. 4
Research Website
http://iopscience.iop.org/0253-6102/51/4/27
Research Year
2009

Quasi-Probability Distribution Functions for a Single Trapped Ion Interacting with a Mixed Laser Field

Research Abstract

We give a fully analytical description of the dynamics of the quasi-probability distribution (Q-PD) functions for any model describing a single two-level qubit interacting with a field. The Wigner function at time (t = 0) and Q function for a pure state as an initial field state are studied. But, in this paper, the temporal behavior of the Q-PD functions for a coherent superposition state (SS) and a statistical mixture of coherent states (SM) for the interaction between a single ion and laser field are investigated. It is found that, the temporal behavior of the Q-PD functions is in very good agreement with its counterpart for the entanglement. If the curve of the entanglement between the trapped ion (specially for the second red sideband) and laser field are known, we can expect the shape of the Q-PD functions.

Research Authors
H. A. Hessian and A.-B. A. Mohamed
Research Department
Research Journal
Laser Physics
Research Member
Research Pages
PP. 1217-1223
Research Rank
1
Research Vol
Vol. 18, No. 10
Research Website
http://www.springerlink.com/content/1p403qg42m462843/
Research Year
2008

Quasi-Probability Distribution Functions for a Single Trapped Ion Interacting with a Mixed Laser Field

Research Abstract

We give a fully analytical description of the dynamics of the quasi-probability distribution (Q-PD) functions for any model describing a single two-level qubit interacting with a field. The Wigner function at time (t = 0) and Q function for a pure state as an initial field state are studied. But, in this paper, the temporal behavior of the Q-PD functions for a coherent superposition state (SS) and a statistical mixture of coherent states (SM) for the interaction between a single ion and laser field are investigated. It is found that, the temporal behavior of the Q-PD functions is in very good agreement with its counterpart for the entanglement. If the curve of the entanglement between the trapped ion (specially for the second red sideband) and laser field are known, we can expect the shape of the Q-PD functions.

Research Authors
H. A. Hessian and A.-B. A. Mohamed
Research Department
Research Journal
Laser Physics
Research Pages
PP. 1217-1223
Research Rank
1
Research Vol
Vol. 18, No. 10
Research Website
http://www.springerlink.com/content/1p403qg42m462843/
Research Year
2008

Influence of Phase Damping on the Entanglement for the Damped JC Model in the Pure and Mixed States

Research Abstract

In this article, we investigate the effects of phase damping on the temporal evolution of different entanglement measurements and the amount of entanglement for the damped Jaynes-Cummings model. The master equation is solved for any initial state in the two-level atom. Superpositions of two coherent states (π/2 or π out of phase) and their statistical mixture state are taken as initial states when a phase-damped cavity is taken into account.

Research Authors
A.-S. F. Obada, H. A. Hessian, and A.-B. A. Mohamed
Research Department
Research Journal
Laser Physics
Research Pages
PP. 1111–1117
Research Rank
1
Research Vol
Vol. 18, No. 9
Research Website
http://www.springerlink.com/content/u555n03845767087/
Research Year
2008

Influence of Phase Damping on the Entanglement for the Damped JC Model in the Pure and Mixed States

Research Abstract

In this article, we investigate the effects of phase damping on the temporal evolution of different entanglement measurements and the amount of entanglement for the damped Jaynes-Cummings model. The master equation is solved for any initial state in the two-level atom. Superpositions of two coherent states (π/2 or π out of phase) and their statistical mixture state are taken as initial states when a phase-damped cavity is taken into account.

Research Authors
A.-S. F. Obada, H. A. Hessian, and A.-B. A. Mohamed
Research Department
Research Journal
Laser Physics
Research Member
Research Pages
PP. 1111–1117
Research Rank
1
Research Vol
Vol. 18, No. 9
Research Website
http://www.springerlink.com/content/u555n03845767087/
Research Year
2008

Effect of phase-damped cavity on dynamics of tangles of a nondegenerate two-photon JC model

Research Abstract

A two-mode cavity field coupled to a two-level atom and damped by the environment through a phasedamped
process is considered. For a chosen initial state, the effects of phase damping on the purity loss of
the global system and different bipartite partitions of the system (atom–two modes, mode–(atom–
mode)) through the tangles are considered. In particular, the effect of phase damping on the amount
of entanglement between atom and field is evaluated by the negativity.

Research Authors
A.-S.F. Obada , H.A. Hessian , A.-B.A. Mohamed
Research Department
Research Journal
Optics Communications
Research Member
Research Pages
PP. 5189–5193
Research Rank
1
Research Website
http://iopscience.iop.org/0953-4075/41/13/135503
Research Year
2008

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 Rank
1
Research Website
http://iopscience.iop.org/0953-4075/41/13/135503
Research Year
2008
Subscribe to