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Journal of Physics B Atomic Molecular and Optical Physics

Creation of entanglement of two atoms coupled to two distant cavities with losses

Víctor Montenegro, Miguel Orszag

Published Jul 25, 2011• 15 citations
Publisher

Abstract

We present a model to generate atomic entanglement with atoms located at distant cavities. It consists of two cavities connected by an optical fibre, where each cavity interacts with a single two-level atom. For certain atom–cavity and cavity–fibre coupling parameters, we find a wide time plateau for the concurrence between the atoms. An increase of the atom–cavity detuning gives rise to a linear increase of the width of the plateau, but at the same time, when losses are included in the model, it also decreases the value of the concurrence and increases the response time to reach the maximum.

DOI
10.1088/0953-4075/44/15/154019

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We present a model to generate atomic entanglement with atoms located at distant cavities. It consists of two cavities connected by an optical fibre, where each cavity interacts with a single two-level atom. For certain atom–cavity and cavity–fibre coupling parameters, we find a wide time plateau for the concurrence between the atoms. An increase of the atom–cavity detuning gives rise to a linear increase of the width of the plateau, but at the same time, when losses are included in the model, it also decreases the value of the concurrence and increases the response time to reach the maximum.
"We present a model to generate atomic entanglement with atoms located at distant cavities. It consists of two cavities connected by an optical fiber, where each cavity interacts with a single two-level atom. For certain atom-cavity and cavity-fiber coupling parameters, we find a wide time plateau for the concurrence between the atoms. An increase of the atom-cavity detuning, gives rise to a linear increase of the width of the plateau, but at the same time, when losses are included in the model, it also decreases the value of the concurrence and increases the response time to reach the maximum."
A model of entanglement generation of two initially disentangled qubits, each coupled to a separate cavity with the cavities connected by a fiber, is considered. The creation and evolution of the atomic entanglement are studied in the framework of the microscopic master equation capable of describing an open quantum system. The cavities and fiber are coupled to their own thermal environment. In these conditions, we compute the concurrence as a measure of the atomic entanglement and study the contribution of the environments at finite temperature to the dynamics of entanglement. As a result, one finds interesting effects where the thermal baths stimulate the generation of the entanglement in a given range of temperatures and the effect could be seen especially at some stage of the entanglement evolution. The range of temperatures at which entanglement increases is limited by some optimal values, depending on the physical characteristics of the system, such as operating cavity/fiber frequencies, atom–field detuning and couplings, and loss rates.
Based on the dispersive atom–field interaction, a scheme is proposed for deterministically generating entanglement between two Λ-type atoms, which are trapped individually in two spatially separated cavities coupled by an optical fibre. In the present scheme, it is found that the atomic spontaneous decay and photon leakage out of the fibre can be efficiently suppressed via choosing appropriately the frequency detuning of atom–field and the coupling intensity of cavity–fibre, respectively. The influence of photon leakage out of the cavities is also discussed, and the strictly numerical simulation shows that our proposal is good enough to demonstrate the generation of entanglement between two distant atoms with high fidelity.
This paper presents a treatment of the entanglement transfer between atoms in two distant cavities coupled by an optical fibre. If the atoms resonantly and collectively interact with the local single-mode cavity fields and the dipole–dipole interaction between the atoms is neglected, then it shows that a complete transfer of entanglement from one pair of atoms to another can be deterministically realized. Furthermore, it also investigates the effects of dipole–dipole interaction on entanglement transfer on the condition that the interaction between the atoms and the cavity is much weaker than the coupling between the cavity and the fibre.
Based on the coupling of two distant three-level atoms in two separate optical cavities connected with two optical fibres, schemes on the generation of several two-qubit logic gates are discussed under the conditions of Δ = δ − 2νcos π k /2 ≫ g /2 and ν ∼ g . Discussion and analysis of the fidelity, gate time and experimental setups show that our schemes are feasible with current optical cavity, atomic trap and optical fibre techniques. Moreover, the atom—cavity—fibre coupling can be used to generate an N -qubit nonlocal entanglement and transfer quantum information among N distant atoms by arranging N atom—cavity assemblages in a line and connecting each two adjacent cavities with two optical fibres.