Geometric phase effects for wave-packet revivals

Journal Article · Mon Feb 20 04:00:00 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), Journal Name: Physical Review Letters; (United States) Vol. 74:8; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

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