Nonlinear Jaynes?Cummings Model of Atom?Field Interaction

Sivakumar, Srinivasan M.

doi:10.1007/s10773-004-7707-2

Cited by 40 publications

(24 citation statements)

References 30 publications

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“…A coupling proportional to 1/(a † a) 1/2 has also been used [22] in a tripartite model, motivated by the fact that this form arises naturally in the context of diagonal-state representations of the density matrix in a restricted Hilbert space where the zero-photon state is absent [23]. An intensity-dependent coupling of the form (1+κ a † a) 1/2 , 0 ≤ κ ≤ 1 has been shown [24] to lead to a closed-form expression for the mean photon energy. Here κ = 0 reduces to the Heisenberg-Weyl algebra for the field operators, while κ = 1 leads to the SU(1, 1) algebra for (nonlinear combinations of) these operators [25].…”

Section: Introductionmentioning

confidence: 99%

Entanglement Dynamics in a Model Tripartite Quantum System

et al. 2016

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A system comprising a Λ-type or V-type atom interacting with two radiation fields exhibits, during its dynamical evolution, interesting optical phenomena such as electromagnetically-induced transparency (EIT) and a variety of nonclassical effects. Signatures of the latter are seen in the entanglement dynamics of the atomic subsystem and in appropriate field observables. Some of these effects have been experimentally detected, and have even been used to change the nonlinear optical properties of certain atomic media. It is therefore useful to investigate the roles played by specific initial states of the radiation fields, detuning parameters, field nonlinearities and the nature of field-atom couplings on EIT and on the entanglement between subsystems. We investigate these aspects in the framework of a simple model that captures the salient features of such tripartite entangled systems. Entanglement dynamics is shown to be very sensitive to the intensity-dependent atom-field couplings. Unexpected interesting features pertaining to the collapses and revivals of the atomic subsystem von Neumann entropy appear. These features could, in principle, be useful in enabling entanglement.

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Section: Introductionmentioning

confidence: 99%

Entanglement Dynamics in a Model Tripartite Quantum System

et al. 2016

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“…The commutator [K m , K † m ] = 2K 0 , with K 0 = ka † a + 1 2 , which is identity when k = 0. These deformed operators form a closed algebra, with Heisenberg-Weyl and SU(1,1) as limiting cases in k [27]. Under the action of these operators, the number states transform as follows,…”

Section: Hamiltonian For Nonlinearly Coupled Cavitiesmentioning

confidence: 99%

“…The last term containing the coupling constant J describes an intensity-dependent interaction between the two cavities. Such interaction terms have been considered in the context of intensity-dependent atom-field coupling [27].…”

Section: Hamiltonian For Nonlinearly Coupled Cavitiesmentioning

confidence: 99%

Quantum interference induced photon localization and delocalization in Kerr-type nonlinear cavities

Meher¹,

Sivakumar²

2016

J. Opt. Soc. Am. B

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We study photon localisation and delocalisation in a system of two nonlinear cavities with intensitydependent coupling. It is shown that complete localisation or delocalisation is possible for proper choices of the strengths of nonlinearity, detuning and inter-cavity coupling. Role of the relative phase in the initial superposition in attaining localisation and delocalisation is discussed. Effects of dissipation and decoherence are considered and the use of quantum interference in reducing dissipation is explored. Many of the features of the system are shown to be the consequences of quantum interference.

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“…The JCM and its generalizations have been reported in the literature [12][13][14]; the atom-field interaction naturally leads to the entangled state. Throughout the recent five decades, the JCM has been generalized using the Kerr nonlinearity [15,16], intensity-dependent coupling [17][18][19][20], multi-photon transitions [21][22][23], and the atomic motion with the classical homogenous gravitational field [24].…”

Section: Introductionmentioning

confidence: 99%

Statistical Aspects and Dynamical Entanglement for a Two-Level Atom Moving on Along Cavity Length of x-Direction: Atomic Position Distribution

2019

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In this work, the problem of the quantum optical model is considered where an one-mode quantized radiation field interacts with a two-level atom (TLA). Also, the atomic position distribution is taken into account, i.e., the atom passing through the length of the optical cavity. We believe that the atomic position affects the matter-field interaction and can be realized in several multiple experiments, such as ultracold atoms and trapped ions. We take into consideration the atom is moving along the cavity field in the x-direction so that the time-position Schrödinger equation for the atom in the x-direction is obtained. We suppose that the field is initially prepared in a coherent state optical field and the atom is initially prepared in an excited state. Also, the atomic motion along the cavity length vanishes in the cavity wall. By using the Laplace transformation method, an exact analytical solution for the coupled partial differential Schrödinger equation for the wave function is calculated. Some non-classical statistical aspects such as the atomic inversion and the photon distributions are discussed in detail. The collapses-revivals, the Poissonian distributions of the photon by Mandel Q parameter, the degrees of the entanglement, and the fidelity have been investigated. The effect of the atomic position distribution in the x-direction on these phenomena is examined. We observed that the atomic position distribution along the cavity has an effective effect on the quantum statistical properties of these phenomena. Minutely, the influence of the atom location distribution on the amount of quantum entanglement has been obtained.

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Nonlinear Jaynes?Cummings Model of Atom?Field Interaction

Cited by 40 publications

References 30 publications

Entanglement Dynamics in a Model Tripartite Quantum System

Entanglement Dynamics in a Model Tripartite Quantum System

Quantum interference induced photon localization and delocalization in Kerr-type nonlinear cavities

Statistical Aspects and Dynamical Entanglement for a Two-Level Atom Moving on Along Cavity Length of x-Direction: Atomic Position Distribution

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