Quantum Entanglement in Two-Photon Tavis–Cummings Model with a Kerr Nonlinearity

Ma, Jun-Mao; Zhang, Jiao; Li, Ning

doi:10.1007/s10773-007-9370-x

Cited by 16 publications

(10 citation statements)

References 17 publications

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“…Entanglement of TLMs with the quantized field have been discussed by numerous authors in terms of entropy (12,13,29,(32)(33)(34)(35). In general the authors relate entanglement to the Von Neumann entropy defined as with being the density matrix for the system.…”

Section: A Measure Of Entanglementmentioning

confidence: 99%

Photon echoes for a system of large negative spin and few photons

Tavis¹

2017

J. Opt. Soc. Am. B

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Persistent photon echoes are seen for the case of a large number of two-level molecules (TLMs) prepared initially in the all-down state (large negative spin) interacting with a photon distribution with a small mean photon number in a lossless cavity. This case is interesting since 1) it has not been significantly addressed in the past; 2) the characteristic times associated with revival are not what is seen for the more frequently addressed problem of a few TLMs interacting with a photon distribution with a large mean photon number; 3) long after the echoes die out, they re-emerge completely at a much later time; and 4) the existence of echoes is not predicated on the initial photon distribution being the coherent state or Glauber distribution. Entropy, entanglement, and the Q function are considered. It is found that disentanglement only occurs at the revival times as evidenced by the entropy going to 0 and the Q function returning to the value seen at time=0. Comparison to the more normally seen results for large mean photon number and small numbers of TLMs are discussed. Finally this paper acts as a general reference for future refereed publications.

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Section: A Measure Of Entanglementmentioning

confidence: 99%

Photon echoes for a system of large negative spin and few photons

Tavis¹

2017

J. Opt. Soc. Am. B

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“…Clearly, such finitetime disappearance of entanglement can seriously affect its application in any of the above fields. Extending Yu and Eberly's work and model by considering correlated reservoirs and interactions, further investigations of different systems in cavity-QED (Jaynes-Cummings and Tavis-Cummings model) and spin chain have been made by various groups [25][26][27][28][29][30][31][32][33][34][35][36]. In particular, ESD has been observed recently in the lab for photonic qubits [37] and atomic ensembles [38].…”

Section: Introductionmentioning

confidence: 99%

Controlling Sudden Birth and Sudden Death of Entanglement at Finite Temperature

et al. 2010

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The decoherence and the decay of quantum entanglement due to both population relaxation and thermal effects are investigated for the two qubits initially prepared in the extended Werner-like state by solving the Lindblad form of the master equation, where each qubit is interacting with an independent reservoir at finite temperature T . Entanglement sudden death (ESD) and entanglement sudden birth (ESB) are observed during the evolution process. We analyze in detail the effects of the mixedness, the degree of entanglement of the initial states and finite temperature on the time of entanglement sudden death and entanglement sudden birth. We also obtain an analytic formula for the steady state concurrence that shows its dependence on both the system parameters, the decoherence rate and finite temperature. These results arising from the combination of extended Werner-like initial state and independent thermal reservoirs suggest an approach to control the maximum possible concurrence even after the purity and finite temperature induce sudden birth, death and revival.

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“…At present, entanglement of two-level systems has been used to represent information in most quantum information processing. A great effort has been devoted in quantifying entanglement involving various methods and interesting concepts [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37]. However, the degree of quantum entanglement depends crucially on the physical nature of the interacting objects and the character of their mutual coupling.…”

Section: Introductionmentioning

confidence: 99%

Quantum Entropy of a Nonlinear Two-level Atom with Atomic Motion

Ateto

2009

Int J Theor Phys

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The wave function of a system governed by the time-dependent nonlinear JaynesCummings (JC) model is obtained. We compute analytically the eigenvalues of the reduced field density operator by which the dynamics of the entropy of entanglement of the cavity field are analyzed. The influences of the atomic motion, the field-mode structure and the Kerr-like medium on this phenomenon are illustrated. The population dynamics of an excited atom is also discussed for the same set of parameters. The cavity field is assumed to be initially excited in either a Fock or a coherent states. The cavity excitation in a Fock state generates a class of an entanglement without death with fixed amplitude by adjusting the parameters of the atomic motion as well as the Kerr and the field-mode structure. In case of a coherent cavity, the only phenomenon to be noted is the periodical behavior of the dynamics under study when the atomic motion is considered. Although the Kerr medium affects the strength of the entanglement negatively, the entropy of entanglement loses its zeros where the Kerr is taken into consideration.

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Quantum Entanglement in Two-Photon Tavis–Cummings Model with a Kerr Nonlinearity

Cited by 16 publications

References 17 publications

Photon echoes for a system of large negative spin and few photons

Photon echoes for a system of large negative spin and few photons

Controlling Sudden Birth and Sudden Death of Entanglement at Finite Temperature

Quantum Entropy of a Nonlinear Two-level Atom with Atomic Motion

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