Population inversion and entanglement in single and double glassy Jaynes-Cummings models

Abstract

We find that a suppression of the collapse and revival of population inversion occurs in response to insertion of Gaussian quenched disorder in atom-cavity interaction strength in the Jaynes-Cummings model. The character of suppression can be significantly different in the presence of non-Gaussian disorder, which we uncover by studying the cases when the disorder is uniform, discrete, and Cauchy-Lorentz. Interestingly, the quenched averaged atom-photon entanglement keeps displaying nontrivial oscillations even after the population inversion has been suppressed. Subsequently, we show that disorder in atom-cavity interactions helps to avoid sudden death of atom-atom entanglement in the double Jaynes-Cummings model. We identify the minimal disorder strengths required to eliminate the possibility of sudden death. We also investigate the response of entanglement sudden death in the disordered double Jaynes-Cummings model in the presence of atom-atom coupling.

17 pages, 25 figures, v3: typo removed in Eq. (37), nothing else needed change

References in corpus (8)

• Finite-Time Disentanglement via Spontaneous Emission
• Sudden Death of Entanglement of Two Jaynes-Cummings Atoms
• Entanglement invariant for the double Jaynes-Cummings model
• Entanglement evolution of two remote and non-identical Jaynes-Cummings atoms
• Entanglement between two atoms in a damping Jaynes-Cummings model
• Disordered driven coupled cavity arrays: Non-equilibrium stochastic mean-field theory
• Fractional Revivals, Multiple-Cat States and Quantum Carpets in the Interaction of a Qubit with $N$ Qubits
• Equilibrium and Disorder-induced behavior in Quantum Light-Matter Systems

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