Adiabatic geometric phases in hydrogenlike atoms

Abstract

We examine the effect of spin-orbit coupling on geometric phases in hydrogenlike atoms exposed to a slowly varying magnetic field. The marginal geometric phases associated with the orbital angular momentum and the intrinsic spin fulfill a sum rule that explicitly relates them to the corresponding geometric phase of the whole system. The marginal geometric phases in the Zeeman and Paschen-Back limit are analyzed. We point out the existence of nodal points in the marginal phases that may be detected by topological means.

Clarifying material added, one figure removed, journal reference added

References in corpus (7)

• Kinematic approach to the mixed state geometric phase in nonunitary evolution
• Geometric phases and criticality in spin chain systems
• An experimental observation of geometric phases for mixed states using NMR interferometry
• Berry phase in a composite system
• Berry phase in entangled systems: a proposed experiment with single neutrons
• Geometric Effects and Computation in Spin Networks
• Effect of intersubsystem coupling on the geometric phase in a bipartite system

Cited by in corpus (6)

• Entanglement, Berry Phases, and Level Crossings for the Atomic Breit-Rabi Hamiltonian
• Berry-like phases in structured atoms and molecules
• Berry phase and fidelity susceptibility of the three-qubit Lipkin-Meshkov-Glick ground state
• Berry phase in superconducting charge qubits interacting with a cavity field
• Non-Abelian quantum holonomy of hydrogen-like atoms
• Geometric Phase for degenerate states of spin-1 and spin-1/2 pair