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AIP conference proceedings

Generation of states maximally entanglement (EPR states) by passing two atoms through two coupled cavities

B. F. C. Yabu-uti, Fabiano Kenji Nohama, José Antonio Roversi, Niklaus Ursus Wetter, Jaime Frejlich

Published Jan 1, 2008• 0 citations
Publisher

Abstract

We present the results of the interaction of identical two‐level atoms with a system formed by two identical coupled cavities via evanescent field. With new bosonic operators (normal nodes), the interaction Hamiltonian between the cavities can be diagonalized. In a particular case, we can eliminate the interaction of the atoms with the nonresonant normal modes reducing the system to the interaction of the atom with a single‐mode (like JCM). As an application of this interaction, we analyze the entanglement between distant atoms. We present two related simple procedures to generate two atoms maximally entangled state (EPR pair) interacting (i)successively (atoms passing through the cavities at different moments) and (ii) simultaneously (at the same time) with the coupled cavities system. Moreover, in contrast with other schemes, we can use identical atoms which simplifies in a experiment point of view.

DOI
10.1063/1.2926911

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Communications in Theoretical Physics•Dec 15, 2002•0 citations
We present the results of the interaction of identical two‐level atoms with a system formed by two identical coupled cavities via evanescent field. With new bosonic operators (normal nodes), the interaction Hamiltonian between the cavities can be diagonalized. In a particular case, we can eliminate the interaction of the atoms with the nonresonant normal modes reducing the system to the interaction of the atom with a single‐mode (like JCM). As an application of this interaction, we analyze the entanglement between distant atoms. We present two related simple procedures to generate two atoms maximally entangled state (EPR pair) interacting (i)successively (atoms passing through the cavities at different moments) and (ii) simultaneously (at the same time) with the coupled cavities system. Moreover, in contrast with other schemes, we can use identical atoms which simplifies in a experiment point of view.
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.
In this letter we present a scheme for generating maximally entangled states of two cavity modes which enables us to generate complete set of Bell basis states having rather simple initial state preparation. Furthermore, we study the interaction of a two-level atom with two modes of electromagnetic field in a high Q cavity. The two-level atom acts as a control qubit and the two mode electromagnetic field serves as a target qubit. This simple system of quantum electrodynamics provides us experimentally feasible universal quantum logic gates.
A scheme is suggested for the generation of multi-atom maximally entangled states with a cavity in a thermal state. In this scheme several appropriately prepared two-level atoms are simultaneously sent through the nonresonant cavity. We divide the whole atom-cavity interaction time into two equal parts. At the end of the first part a π pulse is applied to the atoms using a classical field. Then the photon-number-dependent shifts on the atomic states are cancelled and the atomic system finally evolves to a maximally entangled state.