Berry phase in atom optics

Abstract

We consider the scattering of an atom by a sequence of two near-resonant standing light waves each formed by two running waves with slightly different wave vectors. Due to opposite detunings of the two standing waves and within the rotating wave approximation, the adiabatic approximation applied to the atomic center-of-mass motion and a smooth turn-on and -off of the interaction, the dynamical phase cancels out and the final state of the atom differs from the initial one only by the sum of the two Berry phases accumulated in the two interaction regions. This phase depends on the position of the atom in a way such that the wave packet emerging from the scattering region will focus, which constitutes a novel method to observe the Berry phase without resorting to interferometric methods.

14 pages, 4 figures

References in corpus (12)

• Geometric quantum computation with NMR
• Berry phase for a spin 1/2 in a classical fluctuating field
• Off-Diagonal Geometric Phases
• Experimental demonstration of the stability of Berry's phase for a spin-1/2 particle
• Abelian and non-Abelian geometric phases in adiabatic open quantum systems
• Geometric phase gates based on stimulated Raman adiabatic passage in tripod systems
• Robust gates for holonomic quantum computation
• A geometric phase gate without dynamical phases
• Non-cyclic Geometric Phase due to Spatial Evolution in a Neutron Interferometer
• Geometric Phase of Three-level Systems in Interferometry
• NMR C-NOT gate through Aharanov-Anandan's phase shift
• Berry's phase in the two-level model

Cited by in corpus (5)

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• Quantum geometrical effects in non-Hermitian systems
• Atom lens without chromatic aberrations
• Optical and spin-optical superpositions modulated by Aharonov-Bohm effect