Contribution of the basis-dependent adiabatic geometric phase to noncyclic evolution

Abstract

The geometric phase acquired by the vector states under an adiabatic evolution along a noncyclic path can be calculated correctly in any instantaneous basis of a Hamiltonian that varies in time due to a time-dependent classical field.

References in corpus (5)

• Extending the quantal adiabatic theorem: Geometry of noncyclic motion
• Nonadiabatic noncyclic geometric phase and ensemble average spectrum of conductance in disordered mesoscopic rings with spin-orbit coupling
• Nonadiabatic noncyclic geometric phase of a spin-1/2 particle subject to an arbitrary magnetic field
• Non-cyclic Geometric Phase due to Spatial Evolution in a Neutron Interferometer
• Comment on the Adiabatic Condition