2007/04/04 by P. Zhang, Li You, L. You
Computer Science · Physics and Astronomy · #Adiabatic process #Astronomical interferometer #Atom (system on chip) #Atom interferometer #Atomic physics #Cold Atom Physics and Bose-Einstein Condensates #Field (mathematics) #Geometric phase #Hyperfine structure #Interferometry #Magnetic field #Phase (matter) #Physics #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Radio frequency #Semiclassical physics #quant-ph
paper · pdf · doi:10.1103/physreva.76.033615
12 pages, 7 figures, submitted to Phys. Rev. A
arxiv created 2007/04/04 · openalex publication_date 2007/09/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the geometric phase of an atom inside an adiabatic radio-frequency (rf) potential created from a static magnetic field (B field) and a time-dependent rf field. The spatial motion of the atomic center of mass is shown to give rise to a geometric phase, or Berry's phase, in the adiabatically evolving atomic hyperfine spin along the local B field. This phase is found to depend on both the static B field along the semiclassical trajectory of the atomic center of mass and an effective magnetic field consisting of the total B field, including the oscillating rf field. Specific calculations are provided for several recent atom interferometry experiments and proposals utilizing adiabatic rf potentials.