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arXiv:1207.6060 · Journal of Physics B Atomic Molecular and Optical Physics

Tripartite entanglement dynamics in a system of strongly driven qubits

M. Dukalski, Yaroslav M. Blanter

Published Dec 3, 2012• 4 citations
arXivHTMLPDF

Abstract

We study the dynamics of tripartite entanglement in a system of two strongly driven qubits individually coupled to a dissipative cavity. We aim to explain the previously noted entanglement revival between two qubits in this system. We show that the periods of entanglement loss correspond to the tripartite entanglement formation between the qubits and the cavity, and the recovery is associated with an inverse process. We demonstrate that the overall process of qubit–qubit entanglement loss is due to the coupling to the cavity, and further loss of multipartite entanglement is due to the coupling of the cavity to the external continuum, which explains the behaviour of the qubit–qubit entanglement loss reported previously.

DOI
10.1088/0953-4075/45/24/245504

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We study the dynamics of tripartite entanglement in a system of two strongly driven qubits individually coupled to a dissipative cavity. We aim to explain the previously noted entanglement revival between two qubits in this system. We show that the periods of entanglement loss correspond to the tripartite entanglement formation between the qubits and the cavity, and the recovery is associated with an inverse process. We demonstrate that the overall process of qubit–qubit entanglement loss is due to the coupling to the cavity, and further loss of multipartite entanglement is due to the coupling of the cavity to the external continuum, which explains the behaviour of the qubit–qubit entanglement loss reported previously.
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We investigate the dynamical behavior of entanglement in a system made of two solid-state emitters, as two quantum dots, embedded in two separated microcavities. In these solid-state systems, in addition to the coupling with the cavity mode, the emitter is coupled to a continuum of leaky modes providing additional losses and is also subjected to a phonon-induced pure dephasing mechanism. We model this physical configuration as a multipartite system composed of two independent parts each containing a qubit embedded in a single-mode cavity, exposed to cavity losses, spontaneous emission and pure dephasing. We study the time evolution of entanglement of this multipartite open system, finally applying this theoretical framework to the case of currently available solid-state quantum dots in microcavities.
A system, comprised of a qubit pair coupled to a common cavity, is studied with the aim of establishing qubit entanglement. This study is the sequel of the paper Phys. Rev. A 111, 043705 (2025), where similar model was investigated for an initially vacuum cavity. In the present manuscript the cavity with finite initial occupancy is considered and the effect of asymmetric qubit cavity couplings is investigated. For a closed system scenario, the ratio of the qubit-cavity couplings shows a threshold beyond which no maximally-entangled qubit state is available. The threshold value is shown to depend on the excitation level of the cavity. For a driven-dissipative case steady state entanglement is shown to depend non-monotonically on the qubit drive. Intricate interplay of drive, dissipation, and coupling asymmetry is shown to be pivotal for steady-state entanglement generation.
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We study quantum dynamics of many-qubit systems strongly coupled to a quantized electromagnetic cavity field in the presence of decoherence and dissipation for both fermions and cavity photons, and taking into account the nonuniform cavity field and the spread of qubit transition frequencies. Analytic solutions for quantum state amplitudes and observables are derived for a broad class of open quantum systems. We show that depending on the initial state preparation, the dissipation in a cavity may drive the system into many-qubit entangled dark states that live much longer than the decay time of the cavity field.
Understanding the non-Markovian mechanisms underlying the revivals of quantum entanglement in the presence of classical environments is central in the theory of quantum information. Tentative interpretations have been given by either the role of the environment as a control device or the concept of hidden entanglement. We address this issue from an information-theoretic point of view. To this aim, we consider a paradigmatic tripartite system, already realized in the laboratory, made of two independent qubits and a random classical field locally interacting with one qubit alone. We study the dynamical relationship between the two-qubit entanglement and the genuine tripartite correlations of the overall system, finding that collapse and revivals of entanglement correspond, respectively, to the rise and fall of the overall tripartite correlations. Interestingly, entanglement dark periods can enable plateaux of nonzero tripartite correlations. We then explain this behavior in terms of information flows among the different parties of the system. Besides showcasing the phenomenon of the freezing of overall correlations, our results provide insights on the origin of retrieval of entanglement within a hybrid quantum-classical system.