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- Title
THE CONSISTENCY OF THE ADIABATIC AND EXACT GEOMETRIC PHASES.
- Authors
XINYAN JIA; WEIDONG LI; LIANG, J.-Q.
- Abstract
With the help of the time-dependent gauge transformation, by which a set of time-invariant eigenstates of the Hamiltonian can be obtained, the geometric phase of the time-dependent system is obtained analytically. In the limit of the adiabatic condition, this phase exactly reduces to the adiabatic geometric phase. To illustrate the present theory, two solvable time-dependent systems are considered.
- Subjects
GAUGE invariance; HAMILTONIAN systems; EIGENVALUES; ADIABATIC invariants; HOLONOMY groups; NONLINEAR systems
- Publication
International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2008, Vol 22, Issue 8, p1025
- ISSN
0217-9792
- Publication type
Article
- DOI
10.1142/S0217979208039095