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Output entanglement from SU(1, 1) coherent states under nonlinear dissipation in the dispersive limit

Research Abstract
An analytical solution is found for the master equation of a system described by a nonlinear Jaynes–Cummings model, in the presence of nonlinear quantum dissipation at zero temperature in the large detuning approximation. We study the influence of nonlinear quantum dissipation on the output entanglement dynamics of the atom–field system, considering the field to be initially in SU(1, 1) coherent states. It is found that in the presence of the nonlinear quantum dissipation, the amplitude of the output entanglement between the field and the atom decreases with time, however the entanglement between the field–atom system and the environment increases with time.
Research Authors
A-S F Obada, H A Hessian and A-B A Mohamed
Research Department
Research Journal
Physics A: Mathematical and Theoretical
Research Rank
1
Research Vol
Vol. 43
Research Website
http://iopscience.iop.org/1751-8121/43/2/025305
Research Year
2010

Output entanglement from SU(1, 1) coherent states under nonlinear dissipation in the dispersive limit

Research Abstract
An analytical solution is found for the master equation of a system described by a nonlinear Jaynes–Cummings model, in the presence of nonlinear quantum dissipation at zero temperature in the large detuning approximation. We study the influence of nonlinear quantum dissipation on the output entanglement dynamics of the atom–field system, considering the field to be initially in SU(1, 1) coherent states. It is found that in the presence of the nonlinear quantum dissipation, the amplitude of the output entanglement between the field and the atom decreases with time, however the entanglement between the field–atom system and the environment increases with time.
Research Authors
A-S F Obada, H A Hessian and A-B A Mohamed
Research Department
Research Journal
Physics A: Mathematical and Theoretical
Research Member
Research Rank
1
Research Vol
Vol. 43
Research Website
http://iopscience.iop.org/1751-8121/43/2/025305
Research Year
2010

Invariant dynamicsofasuperconductingqubitstronglycoupledtoacavity
field withoutenergyrelaxation

Research Abstract
MotivatedbyrecentexperimentswhereintheCooperboxcanbeusedtoprobethedecayofthe resonatorsuperpositionstateduetoenvironmentaldecoherence.Wetheoreticallyinvestigatethe dynamicsofentanglementandmixednessofasuperconductingqubitstronglycoupledtoacavityfield inducedbyaphase-dampingreservoirgovernedbyamasterequation.Withaphase-damping,the amountoftheentanglementandthemixednessoftheglobalsystemandoftheresonatorstateshave invariantdynamicswhilephasedampinghasnoeffectonthedynamicofthedegreeofthemixedness of theCooper-pairstate.
Research Authors
A.-S.F. Obada , H.A.Hessian , A.-B.A.Mohamed
Research Department
Research Journal
Physica E
Research Pages
PP. 1262–1266
Research Rank
1
Research Vol
Vol. 42
Research Year
2010

Invariant dynamicsofasuperconductingqubitstronglycoupledtoacavity
field withoutenergyrelaxation

Research Abstract
MotivatedbyrecentexperimentswhereintheCooperboxcanbeusedtoprobethedecayofthe resonatorsuperpositionstateduetoenvironmentaldecoherence.Wetheoreticallyinvestigatethe dynamicsofentanglementandmixednessofasuperconductingqubitstronglycoupledtoacavityfield inducedbyaphase-dampingreservoirgovernedbyamasterequation.Withaphase-damping,the amountoftheentanglementandthemixednessoftheglobalsystemandoftheresonatorstateshave invariantdynamicswhilephasedampinghasnoeffectonthedynamicofthedegreeofthemixedness of theCooper-pairstate.
Research Authors
A.-S.F. Obada , H.A.Hessian , A.-B.A.Mohamed
Research Department
Research Journal
Physica E
Research Member
Research Pages
PP. 1262–1266
Research Rank
1
Research Vol
Vol. 42
Research Year
2010

Entropy growth induced by a squeezed field with a phase-damping
reservoir

Research Abstract
A system of a two level atom interacting with a multi-photon single mode of electromagnetic field and damped with a phase reservoir is considered. The squeezed coherent state is taken as initial field state. The exact solution of the master equation in the case of a high-Q cavity is found. The effects of phase damping on the temporal evolution of some quantitative entanglement measures between the states of the system are investigated.
Research Authors
Obada, A.-S. F.; Hessian, H. A.; Mohamed, A.-B. A.
Research Department
Research Journal
International Journal of Modern Physics B
Research Pages
PP. 4993-5001
Research Rank
1
Research Vol
Vol. 23, No. 18
Research Website
http://adsabs.harvard.edu/abs/2009IJMPB..23.4993O
Research Year
2009

Entropy growth induced by a squeezed field with a phase-damping
reservoir

Research Abstract
A system of a two level atom interacting with a multi-photon single mode of electromagnetic field and damped with a phase reservoir is considered. The squeezed coherent state is taken as initial field state. The exact solution of the master equation in the case of a high-Q cavity is found. The effects of phase damping on the temporal evolution of some quantitative entanglement measures between the states of the system are investigated.
Research Authors
Obada, A.-S. F.; Hessian, H. A.; Mohamed, A.-B. A.
Research Department
Research Journal
International Journal of Modern Physics B
Research Member
Research Pages
PP. 4993-5001
Research Rank
1
Research Vol
Vol. 23, No. 18
Research Website
http://adsabs.harvard.edu/abs/2009IJMPB..23.4993O
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 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
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