Abstract
We consider a time-dependent model that describes a qubit time-dependently interacting 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 their effect can be enhanced by the parameters of the two-mode photon numbers and the initial atomic coherence.
Highlights
Probabilistic phase-space representation is a useful tool for illustrating the quantum world, it guarantees that simulated the quantum observables by the probabilistic methods [1]
For a single-mode atom-field interaction, the Q-Husimi function and Wehrl entropy are used as an indicator of the quantum phase space[13]
The Q-Husimi function and Wehrl entropy can be applied in finding the intermode correlations in phase space [17, 18]
Summary
Probabilistic phase-space representation is a useful tool for illustrating the quantum world, it guarantees that simulated the quantum observables by the probabilistic methods [1]. For a single-mode atom-field interaction, the Q-Husimi function and Wehrl entropy are used as an indicator of the quantum phase space[13]. The aim of the manuscript is to finding an analytical description for the system of a qubit time-dependently interacts with a cavity contains finite pair coherent parametric converter fields when the qubit system starts with a pure/mixed state. The dynamics of the phase space information, the quantum entanglement, and the squeezing are analyzed by the Husimi function, Wehrl entropy, variance, and entropy squeezing. The structure of this manuscript is devoted as follows.
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