Geometric Phase Atom Optics and Interferometry

Abstract

We illustrate how geometric gauge forces and topological phase effects emerge in quantum systems without employing assumptions that rely on adiabaticity. We show how geometric magnetism may be harnessed to engineer novel quantum devices including a velocity sieve, a component in mass spectrometers, for neutral atoms or neutrons. We outline a possible experimental setup that demonstrates topological interferometry for neutral spin 1/2 systems.

This is version II of the original manuscript, it includes three new sections as well as new appendices

References in corpus (1)

• A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential

Cited by in corpus (5)

• Molecular geometric phase from the exact electron-nuclear factorization
• Emergence of non-abelian magnetic monopoles in a quantum impurity problem
• Geometric Phase Effects in the Ultracold D + HD $\to$ D + HD and D + HD $\leftrightarrow$ H + D${}_2$ Reactions
• The Molecular Aharonov-Bohm effect Redux
• Abelian and non-Abelian topological behavior of a neutral spin-1/2 particle in a background magnetic field