Entropy and entanglement in the Jaynes–Cummings model with effects of cavity damping

Obada, A.‐S. F.; Hessian, H. A.; Mohamed, A.-B.A.

doi:10.1088/0953-4075/41/13/135503

Cited by 12 publications

(6 citation statements)

References 44 publications

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“…Moreover, the quantum effects and quantum correlations have been explored, both theoretically [5][6][7][8][9] and experimentally 10 . Recently, due to the rapid development of the real qubit systems based on the superconducting circuits 11 and quantum dots 12 , the quantum effects have been further investigated [13][14][15] .…”

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confidence: 99%

Quasi-probability information in a coupled two-qubit system interacting non-linearly with a coherent cavity under intrinsic decoherence

Mohamed

Eleuch

2020

Sci Rep

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We explore the phase space quantum effects, quantum coherence and non-classicality, for two coupled identical qubits with intrinsic decoherence. the two qubits are in a nonlinear interaction with a quantum field via an intensity-dependent coupling. We investigate the non-classicality via the Wigner functions. We also study the phase space information and the quantum coherence via the Q-function, Wehrl density, and Wehrl entropy. It is found that the robustness of the non-classicality for the superposition of coherent states, is highly sensitive to the coupling constants. The phase space quantum information and the matter-light quantum coherence can be controlled by the two-qubit coupling, initial cavity-field and the intrinsic decoherence.

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confidence: 99%

Quasi-probability information in a coupled two-qubit system interacting non-linearly with a coherent cavity under intrinsic decoherence

Mohamed

Eleuch

2020

Sci Rep

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“…We proceed now to the study of entanglement as a measure of the joint participation of both quantum degrees of freedom, employing the von Neumann entropy for the reduced qubit density matrix ρ q = Tr c ρ in the steady state (where Tr c denotes the partial trace over the cavity field states), defined as S q = −Tr[ρ q ln ρ q ] = − i=1,2 λ i ln λ i . The eigenvalues λ i of the reduced qubit matrix ρ q = (ρ gg , ρ ge ; ρ * ge , ρ ee ) are given by the expression [29,30]:…”

Section: •(C+m−1)mentioning

confidence: 99%

Quantum phase transitions in the driven dissipative Jaynes-Cummings oscillator: From the dispersive regime to resonance

Mavrogordatos

2016

EPL

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We follow the passage from complex amplitude bistability to phase bistability in the driven dissipative Jaynes-Cummings oscillator. Quasidistribution functions in the steady state are employed, for varying qubit-cavity detuning and drive parameters, in order to track a first-order dissipative quantum phase transition up to the critical point marking a second-order transition and spontaneous symmetry breaking. We demonstrate the photon blockade breakdown in the dispersive regime, and find that the coexistence of cavity states in the regime of quantum bistability is accompanied by pronounced qubit-cavity entanglement. Focusing on the rôle of quantum fluctuations in the response of both coupled quantum degrees of freedom (cavity and qubit), we move from a region of minimal entanglement in the dispersive regime, where we derive analytical perturbative results, to the threshold behaviour of spontaneous dressed-state polarization at resonance.

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“…What is missing in these treatments, however, is the effect of the environment, modeled as a lossy cavity, on the temporal behavior of entanglement at any temperature. It is therefore the main purpose of the present report to combine the notions of Jaynes-Cummings model (JCM) [14], [15], cavity damping [16]- [18] and negativity [19] to investigate atomphoton entanglement. In the present treatment, however, the so-called phase damping which is 44 responsible for the decay of atomic states [20] is ignored.…”

Section: Introductionmentioning

confidence: 99%

Characteristics of the Temporal Behavior of Entanglement between Photonic Binomial Distributions and a Two-Level Atom in a Damping Cavity

Yadollahi

Safaiee

Golshan

2019

IJOP

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In the present study, temporal behavior of entanglement between photonic binomial distributions and a two-level atom in a leaky cavity, in equilibrium with the environment at a temperature T, is studied. In this regard, the master equation is solved in the secular approximation for the density matrix, when the initial photonic distribution is binomial, while the atomic states obey the Boltzmann distribution. The atom-photon density matrix so calculated is then used to compute the negativity, as a measure of entanglement. The behavior of atom-photon entanglement is, consequently, determined as a function of time and temperature. To justify the behavior of atom-photon entanglement, moreover, we employ the total density matrix to compute and analyze the time evolution of the initial photonic binomial probability distribution. Our results, along with representative figures reveal that the atomphoton degree of entanglement exhibits oscillations while decaying with time and asymptotically vanishes. It is further demonstrated that an increase in the temperature gives rise to a decrease in the entanglement. The finer characteristics of the temporal behavior of the corresponding probability distribution and, consequently, the atom-photon entanglement is also given and discussed.

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Entropy and entanglement in the Jaynes–Cummings model with effects of cavity damping

Cited by 12 publications

References 44 publications

Quasi-probability information in a coupled two-qubit system interacting non-linearly with a coherent cavity under intrinsic decoherence

Quasi-probability information in a coupled two-qubit system interacting non-linearly with a coherent cavity under intrinsic decoherence

Quantum phase transitions in the driven dissipative Jaynes-Cummings oscillator: From the dispersive regime to resonance

Characteristics of the Temporal Behavior of Entanglement between Photonic Binomial Distributions and a Two-Level Atom in a Damping Cavity

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