Generalized deformed Kerr states and their physical properties

Honarasa, Gholamreza; Tavassoly, M. K.

doi:10.1088/0031-8949/86/03/035401

Cited by 29 publications

(22 citation statements)

References 55 publications

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“…A standard Kerr medium generates an appropriate intensitydependent phase shift through a coupling quadratic in the photon number [46]. Recently the notion of deformed Kerr and generalized deformed Kerr media as well as their physical properties have been outlined by one of us [47]. In this paper we intend to study the possibility of entanglement swapping between two independent atom-field subsystems, however, now in the presence of the Kerr medium and either atomic or photonic dissipations.…”

Section: Introductionmentioning

confidence: 99%

Dissipative entanglement swapping in the presence of detuning and Kerr medium: Bell state measurement method

2017

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Abstract. In this paper, we investigate the possibility of the entanglement swapping between two independent nonperfect cavities consisting of an atom with finite lifetime of atomic levels (as two independent sources of dissipation) which interacts with a quantized electromagnetic field in the presence of detuning and Kerr medium. In fact, there is no direct interaction between the two atoms, therefore, no entanglement exists between them. We use the Bell state measurement performing on the photons leaving the cavities to swap the entanglement stored between the atom-fields in each cavity into atom-atom. Our motivation is arisen from the fact that two-qubit entangled states are of enough interest for quantum information science and technologies. We discuss the effect of initial state of the system, detuning parameter, the Kerr medium and the two dissipation sources on the swapped entanglement to atom-atom. We interestingly find that when the atomic decay rates and photonic leakages from the cavities are equal, our system behaves as an ideal system with no dissipation. Our results show that it is possible to create a long-living atom-atom maximally entangled state in the presence of Kerr effect and dissipation; we determine these conditions in detail and also establish the final atom-atom Bell state. PACS

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Section: Introductionmentioning

confidence: 99%

Dissipative entanglement swapping in the presence of detuning and Kerr medium: Bell state measurement method

2017

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“…More recently, some of the well-known nonclassicality features of the nonlinear (intensity-dependent) interaction between two two-level atoms and a single-mode binomial field has been reported [46]. Moreover, the full nonlinear k-photon JCM in the presence of intensity-dependent Stark shift and deformed Kerr medium [42] including time-varying atom-field coupling has been discussed [47]. In the above-mentioned studies, showing only a few of the papers concerned with the JCM and its extensions, in particular the degree of entanglement (DEM) is evaluated via von Neumann reduced entropy besides some of the other nonclassicality features.…”

Section: Introductionmentioning

confidence: 99%

Entanglement Criteria of Two Two-Level Atoms Interacting with Two Coupled Modes

2015

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In this paper, we study the interaction between two two-level atoms and two coupled modes of a quantized radiation field in the form of parametric frequency converter injecting within an optical cavity enclosed by a medium with Kerr nonlinearity. It is demonstrated that, by applying the Bogoliubov-Valatin canonical transformation, the introduced model is reduced to a well-known form of the generalized Jaynes-Cummings model. Then, under particular initial conditions which may be prepared for the atoms (in a coherent superposition of its ground and upper states) and the fields (in a standard coherent state), the time evolution of state vector of the entire system is analytically evaluated. In order to understand the degree of entanglement between subsystems (atom-field and atom-atom), the dynamics of entanglement through different measures, namely, von Neumann reduced entropy, concurrence and negativity is evaluated. In each case, the effects of Kerr nonlinearity and detuning parameter on the above criteria are numerically analyzed, in detail. It is illustrated that the amount of the degree of entanglement can be tuned by choosing the evolved parameters, appropriately.

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“…Inserting (19) in the time-dependent coefficients (17) leads one to the explicit form of the state vector and consequently the density matrix of the entire atom-field system.…”

Section: Introducing the Model And Its Solutionmentioning

confidence: 99%

Dynamics of entanglement of a three-level atom in motion interacting with two coupled modes including parametric down conversion

Faghihi

Tavassoly

Hatami

2014

Physica A: Statistical Mechanics and its Applications

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In this paper, a model by which we study the interaction between a motional three-level atom and two-mode field injected simultaneously in a bichromatic cavity is considered; the three-level atom is assumed to be in a Λ-type configuration. As a result, the atom-field and the field-field interaction (parametric down conversion) will be appeared. It is shown that, by applying a canonical transformation, the introduced model can be reduced to a well-known form of the generalized Jaynes-Cummings model. Under particular initial conditions, which may be prepared for the atom and the field, the time evolution of state vector of the entire system is analytically evaluated. Then, the dynamics of atom by considering 'atomic population inversion' and two different measures of entanglement, i.e., 'von Neumann entropy' and 'idempotency defect' is discussed, in detail. It is deduced from the numerical results that, the duration and the maximum amount of the considered physical quantities can be suitably tuned by selecting the proper field-mode structure parameter p and the detuning parameters.

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Generalized deformed Kerr states and their physical properties

Cited by 29 publications

References 55 publications

Dissipative entanglement swapping in the presence of detuning and Kerr medium: Bell state measurement method

Dissipative entanglement swapping in the presence of detuning and Kerr medium: Bell state measurement method

Entanglement Criteria of Two Two-Level Atoms Interacting with Two Coupled Modes

Dynamics of entanglement of a three-level atom in motion interacting with two coupled modes including parametric down conversion

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