Entropy and variance squeezing of two coupled modes interacting with a two-level atom: Frequency converter type

Khalil, E. M.; Abdalla, M. Sebawe; Obada, A.‐S. F.

doi:10.1016/j.aop.2005.09.004

Cited by 45 publications

(18 citation statements)

References 44 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…All these effects involve nonlinear coupling between various types of boson excitations such as phonons, spin waves, plasmons, protons, polaritons, etc., as well as electromagnetic waves. In the optical regime there are two of the most important nonlinear parametric interactions, they are frequency conversion and parametric amplification [131][132][133][134][135][136][137][138][139][140][141][142][143]. In the present section we shall generalize the usual JC model, however in a different direction.…”

Section: Two Modes Parametric Convertermentioning

confidence: 99%

Entangled Finite Dimensional Pair Coherent States and Their Applications

Obada

Khalil

2010

Int J Theor Phys

View full text Add to dashboard Cite

Intermediate states of electromagnetic field are reviewed. It is a type of the correlated two-mode states (converter state). Based on the resonant ion-cavity interaction, we propose a scheme to generate these states revealing their connection with the converter state. The practical feasibility of this method is also discussed. We discuss nonclassicality of a finite dimensional pair coherent states in terms of sub-Poissonian photon statistics as well as the negativity of the Wigner function after deriving the analytic expression for the Wigner function. We explore a superposition of two finite dimensional pair coherent states. We show that such states possess inherent nonclassical properties such as sub-Poissonian distribution, anti-correlation between the two modes and violation of Cauchy-Schwarz inequalities. The s-parameterized characteristic function (CF) is considered. The phase distribution in the framework of Pegg and Barnett formalism, W -function and Q-function are discussed. Furthermore, a two-level atom in interaction with a two-mode quantized electromagnetic fields besides a frequency converter interaction initially prepared in an entangled two-mode coherent state is presented. Exact solution of the wave function in the Schrödinger picture is obtained. Some statistical aspects of this model are presented. The results are employed to perform a careful investigation of the temporal evolution of the atomic inversion, entropy squeezing and variance squeezing. General conclusions reached are illustrated by numerical results.

show abstract

Section: Two Modes Parametric Convertermentioning

confidence: 99%

Entangled Finite Dimensional Pair Coherent States and Their Applications

Obada

Khalil

2010

Int J Theor Phys

View full text Add to dashboard Cite

show abstract

“…where H(σ r ) indicates the Shannon information entropy [23,[28][29][30], ρ r is the reduced atomic-density matrix. The squeezing is achieved for the componentσ r when…”

Section: Phenomena Of Information Entropy Squeezingmentioning

confidence: 99%

“…Further directions include efforts to quantify entropy squeezing with multi-level atomic models because it is hard to get an analytical formula of the density matrix. The atomic entropy squeezing for a quantum scheme of TLA that interacts with field mode in the coherent state [20] when having non-linear medium [21,22] and two coupled modes under frequency converter type has been explored [23]. More recently, the effects of decaying terms and external fields on the performance of entropy squeezing have been explored [15,24].…”

Section: Introductionmentioning

confidence: 99%

Information Entropy Squeezing and Non-local Correlation Between a Two-Level Atom and Two-Mode Field Under the Classical Field Effect

et al. 2020

View full text Add to dashboard Cite

This paper examines the squeezing on information entropy and entanglement on the basis of a quantum scheme that contains two-mode interaction with time dependence of a two-level atom, including the external field. The proposed model is formulated by eliminating the external field after applying a certain transformation. The dynamics of information entropy squeezing and non-local correlation information for the system Hamiltonian are investigated. The effect of the evolution of the squeezing and entanglement by the classical field are estimated. Based on the results, the obtained dynamic behavior of squeezing and entanglement is controlled using the external field.

show abstract

“…This argument has been discussed by the authors of ref. [28,[30][31][32][33][34][35][36]. It is well known that for a quantum-mechanical system with two physical observables represented by the Hermitian operatorsÂ andB satisfying the commutation relation [Â,B] = iĈ, one can write the Heisenberg uncertainty relation in the form…”

Section: The Entropy and Variance Squeezingmentioning

confidence: 99%

Quantum statistical characteristics of the interaction between two two-level atoms and radiation field

et al. 2015

View full text Add to dashboard Cite

Abstract.A quantum optics model is considered where the cavity field interacts with two coupled atoms. The time-dependent wave function is obtained and used to derive the density matrix from which we discussed some statistical properties for the present system. The atom-atom entanglement, atoms-cavity entanglement, entropy and variance squeezing, the Pegg-Barrnet phase and the fidelity are discussed with the effects of the initial conditions, atom-atom coupling and the detuning parameter displayed. It is shown that an increase in the value of the atom-atom coupling parameter leads to an increase in the degree of entanglement. Numerical results show that under some conditions the phenomena of entanglement and the collapses and the revivals emerge. Nonclassical properties are demonstrated by means of the field quantum statistical characteristics, such as photon-number distribution, Husimi, Wigner and Glauber-Sudarshan quasidistributions and the corresponding variances.

show abstract

Entropy and variance squeezing of two coupled modes interacting with a two-level atom: Frequency converter type

Cited by 45 publications

References 44 publications

Entangled Finite Dimensional Pair Coherent States and Their Applications

Entangled Finite Dimensional Pair Coherent States and Their Applications

Information Entropy Squeezing and Non-local Correlation Between a Two-Level Atom and Two-Mode Field Under the Classical Field Effect

Quantum statistical characteristics of the interaction between two two-level atoms and radiation field

Contact Info

Product

Resources

About