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Physical Review A

Spatially entangled atomic deflections in twin-photon light beams

Gagik Yu. Kryuchkyan, Mihai Macovei, Christoph H. Keitel

Published Mar 20, 2008• 6 citations
Publisher

Abstract

We investigate deflections, spatial entanglement, and localization of an atomic beam due to its interaction with two modes of a standing electromagnetic field in an optical cavity. It is demonstrated that the deflection properties of an atom passing through two crossed standing light waves are crucially modified when photon-number correlated states of light are used instead of independent waves. Depending on the atom-light interaction scheme, various periodic two-dimensional patterns in a subwavelength regime are reported.

DOI
10.1103/physreva.77.035603

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We investigate deflections, spatial entanglement, and localization of an atomic beam due to its interaction with two modes of a standing electromagnetic field in an optical cavity. It is demonstrated that the deflection properties of an atom passing through two crossed standing light waves are crucially modified when photon-number correlated states of light are used instead of independent waves. Depending on the atom-light interaction scheme, various periodic two-dimensional patterns in a subwavelength regime are reported.
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We discuss formation of two-dimensional spatial structures of atoms due to atomic diffraction on two crossed standing electromagnetic fields. This analysis proposed for V-type atomic configuration under dispersive atom-field interactions in quantum regime. Localization of the position of atoms passing through standing light wave is initiated by making a quadrature phase measurement on the light fields. We develop the procedure for strong two-dimensional spatial localization of atomic beam within the optical wavelength. Considering atomic spatial localization in the presence of entanglement of two light beams various two-dimensional patterns for V-type atoms are reported.
We report on criteria to detect entanglement between the light modes of two crossed optical cavities by analyzing the transverse deflection patterns of an atomic beam. The photon exchange between the modes and atoms occurs around the overlapping nodes of associated standing waves, which generates the two-dimensional (2D) version of the Optical Stern–Gerlach (OSG) effect. In this optical cross-cavity setup, we show that the discrete signatures of the field states, left in the momentum distribution of the deflected atoms, may reveal entanglement for a certain class of two-mode states. For a single photon, we present the possibility of quantifying entanglement by the rotation of the momentum distribution. For a larger number of photons, we demonstrate that quantum interference precludes the population of specific momentum states revealing maximum entanglement between the light modes.
The deflection of atoms in a $\ensuremath{\Lambda}$-type configuration passing through two crossed standing light waves is proposed for the probing and visualization of atomic superposition states. For this goal, we use both the large-dispersive and Raman-resonant regimes of atom-field interaction, giving rise to position-dependent phase shifts of fields, and perform double simultaneous spatial measurements on an atom. In this way, it is demonstrated that the deflection spatial patterns of atoms in a $\ensuremath{\Lambda}$-configuration passing through modes of standing waves are essentially modified if the atoms are initially prepared in coherent superpositions of their low-level states as well as when the superposition states are created during the process of deflection. There are similar results for the joint momentum distributions of atoms. Furthermore, considering both one-photon- and two-photon-excitation regimes of $\ensuremath{\Lambda}$ atoms, we also illustrate that the two-dimensional patterns of defected atoms qualitatively reflect the efficiency of the Raman processes.