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Journal of Physics B Atomic Molecular and Optical Physics

Pure-state entanglement and spontaneous emission quenching in a V-type atom–cavity system

Jiong Cheng, Yan Han, Ling Zhou

Published Dec 15, 2011• 7 citations
Publisher

Abstract

We investigate continuous variable entanglement produced by a V-type atom inside a cavity. Under a strong classical driven condition, we derive an effective Hamiltonian by going beyond the secular approximation. In the momentum representation, we provide a pure-state solution of a two-mode field for the effective Hamiltonian. In the presence of cavity losses and atomic relaxation, especially by taking into account spontaneously generated quantum interference between two atomic decay channels, we show that complete quenching of spontaneous emission is possible under appropriate conditions.

DOI
10.1088/0953-4075/45/1/015505

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We investigate continuous variable entanglement produced by a V-type atom inside a cavity. Under a strong classical driven condition, we derive an effective Hamiltonian by going beyond the secular approximation. In the momentum representation, we provide a pure-state solution of a two-mode field for the effective Hamiltonian. In the presence of cavity losses and atomic relaxation, especially by taking into account spontaneously generated quantum interference between two atomic decay channels, we show that complete quenching of spontaneous emission is possible under appropriate conditions.
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Abstract We demonstrate the generation of two-mode continuous-variable (CV) entanglement in a V-type three-level atom trapped in a doubly resonant cavity using a microwave field driving a hyperfine transition between two upper excited states. By numerically simulating the dynamics of this system, our results show that the CV entanglement with large mean number of photons can be generated even in presence of the atomic relaxation and cavity losses. More interestingly, it is found that the intensity and period of entanglement can be enhanced significantly with the increasing of the atomic relaxation due to the existence of the perfect spontaneously generated interference between two atomic decay channels. Moreover, we also show that the entanglement can be controlled efficiently by tuning the intensity of spontaneously generated interference and the detuning of the cavity field.
We discuss the generation of entangled states of two two-level atoms inside an optical resonator. When the cavity decay is continuously monitored, the absence of photon counts is associated with the presence of an atomic entangled state. In addition to being conceptually simple, this scheme can be demonstrated with presently available technology. We describe how such a state is generated through conditional dynamics, using quantum jump methods, including both cavity damping and spontaneous emission decay, and evaluate the fidelity and relative entropy of entanglement of the generated state compared with the target entangled state.
We investigate continuous variable entanglement produced in two distant coupled cavities, in which two four-level atoms are driven by classical fields respectively. Under the large detuning condition, an effective Hamiltonian containing the square of the creation (annihilation) operator of the cavity field is derived. Due to the nonlinearity, entanglement formally created by the beam splitter type interaction is transformed into the nondegenerate parametric down conversion type. Employing the operator algebraic method, we study the time evolution of the entanglement condition, and show that the system provides us an advantage in achieving a larger photon number with better entanglement. We also discuss the dissipation of the cavities affecting the entanglement.
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We investigate steady state entanglement in an open quantum system, specifically a single atom in a driven optical cavity with cavity loss and spontaneous emission. The system reaches a steady pure state when driven very weakly. Under these conditions, there is an optimal value for atom-field coupling to maximize entanglement, as larger coupling favors a loss port due to the cavity enhanced spontaneous emission. We address ways to implement measurements of the entanglement and find that normalized cross-correlation functions are indicators of the entanglement in the system. The equal time intensity-field cross correlation between the transmitted field of the cavity and the fluorescence intensity is proportional to the entanglement of formation for weak driving fields.