Influence of the Stark shift on the evolution of field entropy and entanglement in two-photon processes

Fang, Mao Fa; Liu, Xiang

doi:10.1016/0375-9601(95)00846-2

Cited by 46 publications

(19 citation statements)

References 23 publications

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“…It is noteworthy that the field entropy evolves periodically and in this case for the two-photon process is quite different from that in the one-photon case. 15) As seen from Fig. 1(a), the entropy is a periodic function of time.…”

Section: Results Of Calculationsmentioning

confidence: 96%

“…To make the two-photon processes closer to those seen in experimental systems, the effect of the dynamic Stark shift in the evolution of the field entropy is added. 15) Furthermore, we have examined the effect of the dynamic Stark shift in the evolution of the field entropy and entanglement in the presence of a Kerr-like medium. 16) The model in Ref.…”

Section: §1 Overviewmentioning

confidence: 99%

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Entanglement of an Effective Two-Level Atom Interacting with Two Quantized Field Modes

Abdel‐Aty

Furuichi

2002

Progress of Theoretical Physics

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Starting from a three-level atom coupled to two modes of a radiation field, we derive a Raman-coupled Hamiltonian. The exact results are employed to carry out a careful investigation of the temporal evolution of the entropy. A factorization of the initial density operator is assumed, with the privileged field modes being in a coherent state. We invoke the mathematical concept of the maximum variation of a function to construct a measure for entropy fluctuations. It is shown that when the individual modes of the field are far detuned from the intermediate atomic level, there is a dynamical Stark shift induced by the Kerr-like medium. The results show that the Kerr effect creates the superstructure of atomic Rabi oscillation and changes the quasiperiod of the field entropy evolution and entanglement between the atom and the field. The dynamic behavior of the mean atomic level occupation probabilities are investigated numerically as functions of time. A number of novel phenomena are discovered and discussed. §1. Overview Quantum computers promise to greatly increase the efficiency of solving problems such as factoring large integers and combinatorial optimization. 1) One of the greatest challenges now is to implement the basic quantum-computational elements in a physical system and demonstrate that they can be reliably controlled. One of the earliest proposals 2) for implementing quantum computation is based on encoding each qubit in two optical modes together containing exactly one photon. The main problem with this proposal is that it is extremely difficult to nonlinearly couple two optical modes containing few photons. Ion trap quantum computation, first proposed by Cirac and Zoller, 3) is a potentially powerful technique for the storage and manipulation of quantum information. In this scheme, information is stored in the spin states of an array of trapped ions and manipulated using laser pulses. Reasonably long coherence times can be realized, and individual qubits can be addressed by virtue of the spatial separation of the ions. Experimental implementations of this scheme have succeeded in the performance of simple two-qubit logic gates and preparing entangled states. 4), 5)In recent years, much attention has been focused on the properties of the entanglement between the field and the atom 6) -9) and in particular on the entropy of the system, employing the entropy theory regarding the interaction of the field with the * )

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Section: Results Of Calculationsmentioning

confidence: 96%

Section: §1 Overviewmentioning

confidence: 99%

Entanglement of an Effective Two-Level Atom Interacting with Two Quantized Field Modes

Abdel‐Aty

Furuichi

2002

Progress of Theoretical Physics

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“…The Hamiltonian of the two-photon JCM including Stark shift with rotating-wave approximation [4,12] is given bŷ…”

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confidence: 99%

Dissipative dynamics of two-photon Jaynes–Cummings model with the Stark shift in the dispersive approximation

et al. 2001

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Abstract:We present the field state dissipative dynamics of two-photon Jaynes-Cummings model (JCM) with Stark shift in dispersive approximation and investigate the influence of dissipation on entanglement. We show the coherence properties of the field is also affected by the cavity when nonlinear two-photon process is involved PACS: 42.50.Ct, 03.65.-w keyword: the field state dissipative evolution, two-photon JCM, the coherence loss.

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“…Some authors have investigated the properties of the field entropy and the entanglement between the field and the atom in the Jaynes-Cummings model, the Tavis-Cummings model and some other models [1,2,[8][9][10][11][12][13][14][15][16][17]22]. However, less attention has been paid to the properties of the field entropy and the entanglement between the atom and the field for the system of the field interacting with a -type three-level atom with detuning.…”

Section: Introductionmentioning

confidence: 99%

Entropy and Entanglement of a Single-mode Vacuum Field Interacting with a Ξ-type Three-level Atom with Detuning

Zhang

2007

Int J Theor Phys

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The evolution of the field entropy and the entanglement between the atom and the field for the system of a single-mode vacuum field interacting with a -type three-level atom have been studied by using the reduced quantum entropy. The influences of the detuning of the light field and the setting of the initial state of the atom on the field entropy and entanglement of the system under consideration are discussed emphatically. It is showed that the detuning of the light field and the setting of the initial state of the atom play an important role for the evolution of the field entropy and the entanglement between the atom and the field. The general conclusions reached are illustrated by numerical results.

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Influence of the Stark shift on the evolution of field entropy and entanglement in two-photon processes

Cited by 46 publications

References 23 publications

Entanglement of an Effective Two-Level Atom Interacting with Two Quantized Field Modes

Entanglement of an Effective Two-Level Atom Interacting with Two Quantized Field Modes

Dissipative dynamics of two-photon Jaynes–Cummings model with the Stark shift in the dispersive approximation

Entropy and Entanglement of a Single-mode Vacuum Field Interacting with a Ξ-type Three-level Atom with Detuning

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