Geometric phase effects for wave-packet revivals

Journal Article · Mon Feb 20 00:00:00 EST 1995 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.74.1264· OSTI ID:6476840

Jarzynski, C ^[1]

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1. Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195 (United States)

The study of wave-packet revivals is extended to the case of Hamiltonians which are made time dependent through the adiabatic cycling of some parameters. It is shown that the quantal geometric phase ([ital Berry]'[ital s] [ital phase]) causes the revived packet to be displaced along the classical trajectory by an amount equal to the classical geometric phase ([ital Hannay]'[ital s] [ital angle]), in one degree of freedom. A physical example illustrating this effect in three degrees of freedom is mentioned.

• DOE Contract Number: FG06-90ER40561
• OSTI ID: 6476840
• Journal Information: Physical Review Letters; (United States), Vol. 74:8; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
WAVE PACKETS
PHASE STUDIES
DEGREES OF FREEDOM
HAMILTONIANS
TIME DEPENDENCE
TRAJECTORIES
MATHEMATICAL OPERATORS
QUANTUM OPERATORS
661100* - Classical & Quantum Mechanics- (1992-)
664100 - Theory of Electronic Structure of Atoms & Molecules- (1992-)