INTEGRABILITY OF THE QUANTUM ADIABATIC EVOLUTION AND GEOMETRIC PHASES

Authors
CASSINELLI G DEVITO E LEVRERO A
Citation
G. Cassinelli et al., INTEGRABILITY OF THE QUANTUM ADIABATIC EVOLUTION AND GEOMETRIC PHASES, Journal of mathematical physics, 38(12), 1997, pp. 6101-6118
Citations number
12
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
38
Issue
12
Year of publication
1997
Pages
6101 - 6118
Database
ISI
SICI code
0022-2488(1997)38:12<6101:IOTQAE>2.0.ZU;2-W
Abstract
We show that the cyclic adiabatic evolution of a quantum system is com pletely integrable as a classical Hamiltonian system. In this context the Berry phases arise naturally as cohomology of the invariant tori. (C) 1997 American Institute of Physics.