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Revista Mexicana de Física

Generation of entanglement in cavity QED

Víctor Montenegro, Miguel Orszag

Published Jan 1, 2011• 0 citations
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Abstract

"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."

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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 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."
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.
The interaction between identical two-level atoms with a system that consists of two coupled cavities connected by an optical fiber was investigated. With new bosonic operators, the interaction Hamiltonian between the fiber and the cavities can be diagonalized (Pellizzari's model1). In the strong coupling regime (cavity field-fiber), the interaction between atoms and the non-resonant normal modes can be eliminated, simplifying our system to that of one atom interacting with a single-mode cavity. For this interaction, we have analyzed the entanglement between distant atoms. We present two simple procedures to generate two atoms in a maximally entangled state, interacting (i) successively and (ii) simultaneously with the coupled cavities system.
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.
We investigate the degree of entanglement between an atom and a driven cavity mode in the presence of dissipation. Previous work has shown that in the limit of weak driving fields, the steady-state entanglement is proportional to the square of the driving intensity. This quadratic dependence is due to the generation of entanglement by the creation of pairs of photons or excitations. In this work we investigate the entanglement between an atom and a cavity in the presence of multiple photons. Nonlinearity of the atomic response is needed to generate entanglement, but as that nonlinearity saturates the entanglement vanishes. We posit that this is due to spontaneous emission, which puts the atom in the ground state and the atom-field state into a direct product state. An intermediate value of the driving field, near the field that saturates the atomic response, optimizes the atom-field entanglement. In a parameter regime for which multiphoton resonances occur, we find that entanglement recurs at those resonances. In this regime, we find that the entanglement decreases with increasing photon number. We also investigate, in the bimodal regime, the entanglement as a function of atom and/or cavity detuning. Here we find that there is evidence of a phase transition in the entanglement, which occurs at $2\ensuremath{\epsilon}/g\ensuremath{\ge}1$.
A potential scheme is proposed to generate complete sets of entangled photons in the context of cavity quantum electrodynamics (QED). The scheme includes twice interactions of atoms with cavities, in which the first interaction is made in two-mode optical cavities and the second one exists in a microwave cavity. In the optical cavities the atoms are resonant with the cavity modes, while the detuned interaction of the atoms with a single-mode of the microwave cavity is driven by a classical field. We show that our scheme is carried out with higher efficiency than previeous schemes, and is close to the reach of current technique.