Engineering entanglement between external degrees of freedom of atoms via Bragg scattering

Abstract

We suggest that atoms undergoing Bragg deflection from a cavity field introduce entanglement between their external degrees of freedom. The atoms interact with an electromagnetic cavity field which is far detuned from atomic transition frequency and is in superposition state. We provide a set of experimental parameters in order to perform the suggested experiment within the frame work of the presently available technology.

Engineering entanglement between two cavity modes

“…Several schemes have been proposed for the generation of entangled states in atoms, ions, and photons [14][15][16][17][18][19][20][21][22].…”

Beam Splitter-Mediated Quantum Information Processing Employing Momentum States of the Neutral Atoms

“…Interaction picture Hamiltonian describing the off-resonant interactions of a two-level atom with the cavity field under dipole and rotating wave approximation may be written as [22][23][24][25],Ĥ…”

“…However, almost all of this research is so for limited to only generation of either the cavity field states or the atomic internal states. Quantized atomic external momentum states present another attractive and viable candidate or alternative in this respect as many proposals exist to utilize this unique degree of freedom for quantum information processing [22][23][24][25][26][27][28]. All these suggestions, however, solely rely on quantized atom-field interactions in the cavity QED setups without invoking the use of beam splitter for state preparation and manipulation.…”

Corrigendum to “Classical and quantum chaos in atom optics”

“…As a consequence, in complete analogy to classical optics, we have atom optical elements for atoms, such as, mirrors, beam splitters, interferometers, lenses, and waveguides (Sigel 1993 As a manifestation of the wave-particle duality, we note that a standing light wave provides optical crystal (Sleator 1992a, Sleator 1992b). Thus, we may find Raman-Nath scattering and Bragg scattering of matter waves from an optical crystal (Saif 2001a, Khalique 2003. In addition, an exponentially decaying electromagnetic field acts as an atomic mirror (Balykin 1988, Kasevich 1990, Wallis 1992).…”