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Physica Scripta

Non-classicality in an open two-mode parametric amplifier cavity containing a Λ-qutrit system

A-B A Mohamed, H. A. Hessian

Published Mar 3, 2021• 2 citations
Publisher

Abstract

Abstract In the presented paper, we introduce an analytical description for a dissipative two-mode parametric amplifier coherent cavity containing a three-level system (qutrit). Based on normalized correlation function, Q-function and its associated Wehrl entropy, the dynamics of the quantum phenomena: two-mode cavity non-classically, qutrit phase space information, and quantum coherence are investigated under the physical parameters: qutrit-cavity interactions, initial coherent intensity, and the dissipation. It is found that the generated quantum phenomena, due to the qutrit-cavity interaction, depend on the physical parameters of the initial states and the dissipation. The robustness of the quantum phenomena against the dissipation can be enhanced by decreasing the initial coherent intensity cavity. The stability and strength of the generated bunching/anti-bunching behaviour can be controlled by the cavity dissipation.

DOI
10.1088/1402-4896/abeba4

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Abstract We consider a time-dependent model that describes a qubit time-dependently interacts with a cavity containing finite entangled pair coherent parametric converter fields. The dynamics of some quantum phenomena, as: phase space information, quantum entanglement and squeezing, are explored by atomic Husimi function, atomic Wehrl entropy, variance, and entropy squeezing. The influences of the unitary qubit-cavity interaction, the difference between the two-mode photon numbers, the initial atomic coherence, and the time-dependent qubit location are investigated. It is found that the regularity, the amplitudes and the frequency of the quantum phenomena can be controlled by the physical parameters. For the initial atomic pure state, the qubit-cavity entanglement, the qubit phase space information, and atomic squeezing can be generated strongly compared to those of the initial atomic mixed state. The time-dependent location parameters enhance the generated quantum phenomena, and its effect can be enhanced by the parameters of the two-mode photon numbers and the initial atomic coherence.
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An analytical solution for a dissipative cavity field interacting with two qubits (TQs) in presence of Kerr-like medium is obtained. The super-operator method is used to obtaining the field density matrix elements under the dispersive approximation. Linear entropy is calculated to determine the entanglement between the cavity field and the TQs. Moreover, the Wehrl entropy and Wehrl phase distribution are discussed to discover the nonclassicality dynamics of a dissipative cavity field. It is found that the Kerr medium and the dissipation reduce the generated quantum coherence due to the qubit–cavity interactions. It is possible to control the ability of cavity–qubit interactions to generate quantum coherence by the mean photon number of the initial coherent cavity state. Moreover, the nonclassicality of the initial coherent state reduces the dissipative and the Kerr medium effects.