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Physical Review A

Quantum interference and atom-atom entanglement in a two-mode, two-cavity micromaser

Metod Škarja, Norma Mankoč Borštnik, Markus Löffler, HERBERT WALTHER

Published Oct 1, 1999• 26 citations
Publisher

Abstract

The interaction of two-level atoms with two modes of a resonator, formed by two weakly coupled cavities, is investigated. The first atom, passing through one of the two cavities, excites the two field modes. The second atom then, passing through the other cavity, tests the excitation. Since the photon generated by the first atom may be in the first or the second cavity, quantum interference phenomena are observed. Furthermore, the setup can be used to generate maximum entangled pairs of atoms.

DOI
10.1103/physreva.60.3229

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The interaction of two-level atoms with two modes of a resonator, formed by two weakly coupled cavities, is investigated. The first atom, passing through one of the two cavities, excites the two field modes. The second atom then, passing through the other cavity, tests the excitation. Since the photon generated by the first atom may be in the first or the second cavity, quantum interference phenomena are observed. Furthermore, the setup can be used to generate maximum entangled pairs of atoms.
This paper proposes a decoherence-immune scheme for generating highly entangled states for two atoms trapped in a cavity. The scheme is based on two resonant atom-cavity interactions. Conditional upon the detection of no photon, the two atoms may exchange an excitation via the first resonant interaction, which leads to entanglement. Due to the loss of the excitation, the two atoms are in a mixed entangled state. With the help of an auxiliary ground state not coupled to the cavity mode, the state related to the excitation loss is eliminated by the detection of a photon resulting from the second resonant interaction. Thus, the fidelity of entanglement is almost not affected by the decoherence.
We study analytically and numerically the dynamical Casimir effect in a cavity containing two stationary two-level atoms that interact with the resonance field mode via the Tavis-Cummings Hamiltonian. We determine the modulation frequencies for which the field and atomic excitations are generated and study the corresponding dynamical behaviors in the absence of damping. It is shown that the two-atom setup allows for monitoring of photon generation without interrupting the growth, and different entangled states can be generated during the process.
An two-level atom is considered passes through double spatially separated single-mode cavity fields and the influence of the center-of-mass motion of the atom is investigated,the length of the cavity and the separation between two cavities on entanglement between the cavity fields because of interaction between the atom and the cavity fields.It is found that in the case of ultra-cold atom,when k / k0 1,the probility that the atom passes through double cavity fields is small,and the entanglement is generated is small too.And when k / k0 1,the result is contraty.
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.
We study the entanglement properties of a pair of two-level Rydberg atoms passing one after another into a lossless cavity with two modes. The atoms interact with the cavity field via an intensity-dependent, non-degenerate two-photon transition. The initial joint state of two successive atoms that enter the cavity is unentangled. Interactions mediated by the two-mode cavity photon field result in the final two-atom mixed entangled type state. The entanglement of formation of the joint two-atom state as a function of the Rabi angle, gt, is calculated for the two-mode Fock state field, coherent field, and thermal field, respectively, inside the cavity. The change in the magnitude of atomic entanglement with cavity photon number in two modes has been studied.