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Results in Physics

Quantum effects in two-qubit systems interacting with two-mode fields: Dissipation and dipole-dipole interplay effects

A.‐B. A. Mohamed, Hichem Eleuch, A.‐S. F. Obada

Published Feb 24, 2020• 6 citations
Publisher

Abstract

We explore two coupled dipole qubits interacting with two-mode cavity fields through non-degenerate two-photon processes and under the influence of intrinsic noise. Our investigation is based on the influence of the coupling constants between different constituents of the system on the quantum coherence and entropy squeezing. We investigate the phase space information, entanglement, and purity via the Husimi function. It is found that the robustness of the positivity and the negativity of the superposition of generalized coherent state is highly sensitive to the coupling constants. The phase space quantum information, the matter-light entanglement, and the stationary mixture state can be controlled by the two-qubit coupling as well as the coupling to the environment. The effect of the intrinsic dissipation and the two-qubit coupling on the generated squeezing via the qubit-system variable squeezing or the entropy squeezing is investigated. They lead to revoke the squeezing phenomenon.

DOI
10.1016/j.rinp.2020.103019

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Abstract The intrinsic decoherence effect for two qubits interacting with a coherent field, under the dipole-dipole interaction and two-photon resonance, is analytically described. We investigate numerically the population inversion and the quantum coherence. The results show that the generated mixture entropy and the entanglement negativity, can be enhanced and protected by the dipole-dipole interaction and by reducing the initial coherent field intensity. In particular, we find that, the collapses and revivals of the population inversion present high sensitivity to these physical parameters. The nonlinearity of the two-photon processes leads to a generation of a strong two-qubit entanglement. This generated entanglement depends on the initial coherent field intensity, the dipole-dipole interaction and the intrinsic decoherence.
We investigate the link between quantum Fisher information (QFI) and quantum entanglement for a scheme of two atoms that interact with two non-degenerate modes in the absence and presence of intrinsic decoherence effect. The explicit form of the density matrix approach to the dissipative systems is given when the cavity-field is in generalized coherent states. The dynamical behavior of the QFI is compared with the atom–atom concurrence entanglement. We examine the effect of the dipole–dipole interaction and intrinsic decoherence on the dynamical properties of the QFI, concurrence and variance entropy squeezing. It is found that the atom–atom concurrence and the QFI can be controlled by the intrinsic decoherence and the dipole–dipole interaction.
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.
Abstract An analytical description is obtained for a system composed of two two-level atoms (qubits) coupled via dipole–dipole interplay by Su(1, 1) and Su(2) Lie group. Both qubits interact with two-mode open cavity through a non-degenerate two-photon process. We explore the influence of the dissipation rate on the non-classical correlation (NCC), based on the Hilbert–Schmidt distance and Bell’s inequality correlations. The robustness of the generated NCCs depend not only on the dipole–dipole interplay but also on the dissipation rate and the initial coherence intensity. The NCCs can be enhanced for some selected values of the dipole–dipole interaction.
In this paper, we use the su(1,1)-algebraic treatment to explore the effects of the intrinsic decoherence in a two-mode cavity containing a two-level atom. Each field is resonant with the qubit through a four-photon process. The role of the intrinsic decoherence and the superposition of the initial generalized Barut-Girardello coherent state on the quantum effects is investigated via different quantifiers as: atomic inversion, linear entropy and negativity. It is found that the non-linearity of the four-photon process leads to generate non-classical effects with a high oscillatory behavior. The superposition of the Barut-Girardello coherent state controls the dynamics of the purity loss and the entanglement. It is found that the nonclassical effects are very sensitive to the nonlinear interactions between the qubit and the two-mode cavity.
We explore the dissipative dynamics of two coupled qubits placed inside a coherent cavity-field under dipole-dipole interplay and 2-photon transitions. The generated non-classical correlations (NCCs) beyond entanglement are investigated via two measures based on the Hilbert-Schmidt norm. It is found that the robustness of the generated NCCs can be greatly enhanced by performing the intrinsic dissipation rate, dipole-dipole interplay rate, initial coherence intensity and the degree of the coherent state superpositions. The results show that the intrinsic decoherence stabilize the stationarity of the non-classical correlations while the dipole interplay rate boost them. The non-classical correlations can be frozen at their stationary correlations by increasing the intrinsic dissipation rate. Also NCCs, can be enhanced by increasing the initial coherent intensity.