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Journal of Optical Communications

Atomic Deflection by the two Dimensional Traveling-wave and Standing-wave Vacuum Modes

Sun-Hyun Youn, Young-Tak Chough, Kyungwon An

Published Jan 1, 2003• 0 citations
Publisher

Abstract

We analyze the interaction of an two-state atom with two dimensional cavity modes in the strong coupling regime, with the quantized atomic center of mass motion taken into account. By choosing proper initial condition for the atomic transverse momentum and the cavity detuning, we can control the atomic transverse momentum distribution in two dimensions. We have analyzed the two-dimensional momentum distribution of the excited atom fully quantum mechanically, which interacts with two independent pairs of counterpropagating traveling-wave modes, one pair of folded traveling-wave modes, two independent crossed standing-wave modes and one folded standing-wave mode, respectively.

DOI
10.1515/joc.2003.24.4.149

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We use a basis of Bloch wave functions to solve the problem of spontaneous emission from an atom inside a standing-wave cavity. In this way we incorporate the effects of the atom’s quantized center-mass-motion in the periodic light-force potential of the one-quantum dressed states during the spontaneous emission process. We calculate emission spectra and the momentum distribution of the atom. Under strong-coupling conditions, “vacuum” Rabi spectra become asymmetric, with an increased relative weight given to the red side of the spectrum because of the transfer of energy to the center-of-mass motion of the atom. Because of the nonperturbative interaction between the atom and the cavity mode, many momentum quanta are transferred to the atom from the cavity mirrors during the irreversible emission of just one photon. Thus, the atom is diffracted by its own radiation reaction field. We analyze these effects using the Bloch-state basis. Use of the secular approximation provides a simple rate equation description of transitions from the Bloch states excited in the initial state to the atom-cavity ground state. We compare this approach with other ways of doing the calculations and discuss the accuracy of the secular approximation. We consider the extension of these calculations to treat the effects of photon statistics on the momentum distribution of atoms traversing a standing-wave cavity.
By using the Wei-Norman's method, the deflection of an atomic beam with a large period quantized standing light wave is analyzed for the case with two-level atom and single-mode cavity field. It is concluded that after passing through the standing light wave in cavity, the atomic beam is split into infinite beams symmetrically, and each momentum shift for a split component is proportional to the interaction time. It is also shown that the output momentum distribution of atoms is sensitive to the statistical properties of the cavity field.
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.
Deflection of an atomic beam passing through two crossed standing light waves is proposed for studies of transition through the Raman resonance in Λ -atomic systems. Considering different regimes of excitation of Λ -atoms by offresonant standing waves, we demonstrate that the deflection patterns, in the plane perpendicular to the direction of the center of atomic mass motion, are essentially different for the cases of one-photon and two-photon excitations. Visualization of the quantum superposition states of low atomic levels on the two-dimensional spatial patterns of atomic deflection is performed.