Calculation of geometric phases in electric dipole searches with trapped spin-1/2 particles based on direct solution of the Schrödinger equation

Abstract

Pendlebury $\text{et al.}$ [Phys. Rev. A $\text{70}$, 032102 (2004)] were the first to investigate the role of geometric phases in searches for an electric dipole moment (EDM) of elementary particles based on Ramsey-separated oscillatory field magnetic resonance with trapped ultracold neutrons and comagnetometer atoms. Their work was based on the Bloch equation and later work using the density matrix corroborated the results and extended the scope to describe the dynamics of spins in general fields and in bounded geometries. We solve the Schrödinger equation directly for cylindrical trap geometry and obtain a full description of EDM-relevant spin behavior in general fields, including the short-time transients and vertical spin oscillation in the entire range of particle velocities. We apply this method to general macroscopic fields and to the field of a microscopic magnetic dipole.

11 pages, 4 figures

References in corpus (1)

• An Improved Experimental Limit on the Electric Dipole Moment of the Neutron

Cited by in corpus (9)

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• Spin flip loss in magnetic confinement of ultracold neutrons for neutron lifetime experiments
• Mapping of the magnetic field to correct systematic effects in a neutron electric dipole moment experiment
• The neutron electric dipole moment experiment at the Spallation Neutron Source
• Nonextensive statistics in spin precession
• Berry phases in an electric-dipole-moment experiment in an all-electric storage ring