Nonlinear interaction of a three-level atom with a two-mode field in an optomechanical cavity: Field and mechanical mode dissipations

Eftekhari, F.; Tavassoly, M. K.; Behjat, Abbas

doi:10.1016/j.physa.2022.127176

Cited by 12 publications

(8 citation statements)

References 62 publications

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“…In this subsection, we will use l 1 norm of coherence to illustrate the coherence between two qubits along the interaction time. It is considered one of the most easier quantum quantifiers, where it obtains by using the absolute value of the of diagonal elements of the atomic density matrix (14). Mathematically, the l 1 norm of coherence is defined as [29],…”

Section: Norm Of Coherencementioning

confidence: 99%

“…In this subsection, we employ the final density matrix (14) to quantify the steerability degree from qubit A to qubit B by using the EPR-steering. The inequality of EPR-steering is reconstructed based on the conditional entropic Heisenberg uncertainty principle for the discrete observables as [36,37],…”

Section: Steeringmentioning

confidence: 99%

“…Moreover, the interaction between a cavity field and high-dimensional atomic system is demonstrated, such as three level atom [14], four-level atom [15], five-level [16], and N-level atom [17].…”

mentioning

confidence: 99%

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Influence of deformed cavity field and atomic dipole interaction on the quantum correlations of two-qubit system

Ali

2022

Preprint

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The possibility of generating of some quantum correlations of entangled or separable initial two-qubit system interacts with a deformed cavity mode on the presence of dipole-dipole interaction is discussed. These quantum correlations are the coherence, non-separability, and steering degrees, which are quantifiers by using l1 norm of coherence, Entanglement of Formation (EoF), and Einstein-Podolsky-Rosen (EPR)-steering. It is shown that, maximizing or minimizing the quantum correlations depend on the initial settings states of the two-qubit system. To maximize the quantum correlations on the presences of deformation, one has to prepare the initial two-qubit system in an entangled state, setting large values of the coupling dipole and decreasing the effect of deformation parameter.

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Section: Norm Of Coherencementioning

confidence: 99%

Section: Steeringmentioning

confidence: 99%

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Influence of deformed cavity field and atomic dipole interaction on the quantum correlations of two-qubit system

Ali

2022

Preprint

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“…There, the authors introduce nonlinearities in the electromagnetic field using a deformation function and study its relevance in the evolution of the entanglement between the field and the mechanical oscillator calculating the linear entropy and the Wigner function. In [16], also considering f-deformed interactions, the dynamics of a three-level atom with a non-linear atom-field coupling in an optomechanical cavity with a two-mode field is studied and the evolution of several non-classical properties is presented. These kinds of non-linearities have also been applied to the JCM [17,18].…”

Section: Introductionmentioning

confidence: 99%

Temporal evolution of a driven optomechanical system in the strong coupling regime

Medina-Dozal,

Récamier,

Moya-Cessa

et al. 2023

Phys. Scr.

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We obtain a time-evolution operator for a forced optomechanical quantum system using Lie algebraic methods when the normalized coupling between the electromagnetic field and a mechanical oscillator, G/ω m , is not negligible compared to one, i.e., the system operates in the strong-coupling regime. Due to the forcing term, the interaction picture Hamiltonian contains the number operator in the exponents, and in order to deal with it, we approximate these exponentials by their average values taken between initial coherent states. Our approximation is justified when we compare our results with the numerical solution of the number of photons, phonons, Mandel parameter, and the Wigner function, showing an excellent agreement. In contrast to other works, our approach does not use the standard linearized description in the optomechanical interaction. Therefore, highly non-classical (non-Gaussian) states of light emerge during the time evolution.

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“…Recently, the effect of external environment on the atom-field interaction such as, the Stark shift (Obada et al 2012b(Obada et al , 2013Ghasemian and Tavassoly 2021), vibration graphene sheet (Alotaibi et al 2021) and optomechanical cavity (Hao et al 2019;Alotiabi et al 2022) are examined. Moreover, the interaction between a cavity field and high-dimensional atomic system is demonstrated, such as three level atom (Eftekhari et al 2022), four-level atom ), five-level (Devi et al 2022) and N-level atom (Ibrahim et al 2022).…”

Section: Introductionmentioning

confidence: 99%

Influence of deformed cavity field and atomic dipole interaction on the quantum correlations of two-qubit system

Ali

2022

Opt Quant Electron

View full text Add to dashboard Cite

The possibility of generating of some quantum correlations of the entangled or separable initial two-qubit system interacting with a deformed cavity mode in the presence of dipole-dipole interaction is discussed. These quantum correlations are the coherence, non-separability and steering degrees which are quantifiers by using $$ l_1 $$ l 1 norm of coherence, Entanglement of Formation and Einstein–Podolsky–Rosen -steering. It is shown that maximizing or minimizing the quantum correlations depends on the initial setting states of the two-qubit system. To maximize the quantum correlations on the presence of deformation, one has to prepare the initial two-qubit system in an entangled state, setting large values of the coupling dipole and decreasing the effect of the deformation parameter.

show abstract

Nonlinear interaction of a three-level atom with a two-mode field in an optomechanical cavity: Field and mechanical mode dissipations

Cited by 12 publications

References 62 publications

Influence of deformed cavity field and atomic dipole interaction on the quantum correlations of two-qubit system

Influence of deformed cavity field and atomic dipole interaction on the quantum correlations of two-qubit system

Temporal evolution of a driven optomechanical system in the strong coupling regime

Influence of deformed cavity field and atomic dipole interaction on the quantum correlations of two-qubit system

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