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IEEE Access

Robustness of Generated Geometric Phase of Quantum Wells in Two Open Waveguide-Coupled Optical Cavities

Abdel‐Baset A. Mohamed, Ahmed Farouk, Abdel Haleem Abdel Aty, Hichem Eleuch

Published Jan 1, 2020• 2 citations
Publisher

Abstract

In this article, we study the geometric phase in a system formed by two spatially separated cavities interacting with the environment. Each cavity is filled by a linear optical medium and contains a quantum well. For different initial states, the robustness of the generated geometric phase is analyzed under the effects of the optical susceptibility, the dissipation of the cavities, the exciton-cavity and fiber-cavity couplings. Our results show that the geometric phase is extremely sensitive to the effects of the cavity-exciton and the fiber-cavity couplings as well as to the optical susceptibility. This opens new routes to understand the storage and manipulation of quantum data in a quantum network.

DOI
10.1109/access.2020.3019454

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In this article, we study the geometric phase in a system formed by two spatially separated cavities interacting with the environment. Each cavity is filled by a linear optical medium and contains a quantum well. For different initial states, the robustness of the generated geometric phase is analyzed under the effects of the optical susceptibility, the dissipation of the cavities, the exciton-cavity and fiber-cavity couplings. Our results show that the geometric phase is extremely sensitive to the effects of the cavity-exciton and the fiber-cavity couplings as well as to the optical susceptibility. This opens new routes to understand the storage and manipulation of quantum data in a quantum network.
We explore the geometric phase in a system of two non-interacting qubits embedded in two separated open cavities linked via an optical fiber and leaking photons to the external environment. The dynamical behavior of the generated geometric phase is investigated under the physical parameter effects of the coupling constants of both the qubit-cavity and the fiber-cavity interactions, the resonance/off-resonance qubit-field interactions, and the cavity dissipations. It is found that these the physical parameters lead to generating, disappearing and controlling the number and the shape (instantaneous/rectangular) of the geometric phase oscillations.
Nonclassical effects are investigated in a system formed by two quantum wells, each of which is inside an open cavity. The cavities are spatially separated, linked by a fiber, and filled with a linear optical medium. Based on Husimi distributions (HDs) and Wehrl entropy, we explore the effects of the physical parameters on the generation and the robustness of the mixedness and HD information in the phase space. The generated quantum coherence and the HD information depend crucially on the cavity-exciton and fiber cavity couplings as well as on the optical medium density. The HD information and purity are lost due to the dissipation. This loss may be inhibited by increasing the optical susceptibility as well as the couplings of the exciton-cavity and the fiber-cavity. These parameters control the regularity, amplitudes, and frequencies of the generated mixedness.
We explore the bipartite non-classical correlations of two quantum wells coupled to two spatially separated microcavities. The microcavities are filled by linear optical media and linked by a single-mode optical fiber. We prove that it is possible to generate a correlation from the initially uncorrelated state. With particular coupling constants of the cavity-exciton and the fiber-cavity coupling, the maximum correlations can be generated periodically, and sudden changes occur only in the local quantum uncertainty. The optical susceptibility and coupling constants control the regularity, amplitudes, and frequencies of the correlation functions. When the system initially starts with a maximally correlated state, we show that the correlation robustness of the Wigner-Yanase skew information and Bell’s inequality depends not only on the coupling strengths and optical susceptibility but also on the dissipation rates. Deterioration of the correlations is substantially associated with the dissipation.
Abstract We explore the quantum correlations for two coupled quantum wells. Each quantum well is inside a semiconductor microcavity. The two cavities are connected by an optical fiber. The study of quantum correlations, namely the geometric quantum discord, measurement-induced non-locality and negativity, reveals sudden death and sudden birth phenomena. These effects depend not only on the initial states, coupling strengths of the cavity–fiber and cavity–exciton constants, but also on the dissipation rates of the semiconductor microcavities. We show that the coupling constants control the quantum correlations.
We explore two open cavity-qubit systems linked via an optical fiber. The generation of non-local correlations (NLCs) between the two qubits, via skew-information and Bell-function, are investigated under the effects of the physical parameters of the initial state and the interaction couplings of the cavity-qubit and the cavity-fiber and the environment. It is found that the robustness and the generation of the NLCs depend on the physical parameters. Under the condition that the cavity-qubit couplings is much smaller than the cavity-fiber coupling, the regularity of the growth and the oscillations of the NLCs are enhanced and are more robust.