Geometric phase effects for wavepacket revivals

Preprint

2 February 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.solv-int/9501009

Abstract

The study of wavepacket 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 (Berry's phase) causes the revived packet to be displaced along the classical trajectory, by an amount equal to the classical geometric phase (Hannay's angle), in one degree of freedom. A physical example illustrating this effect in three degrees of freedom is mentioned.

Keywords

WAVEPACKET REVIVALS
ADIABATIC CYCLING
DEGREE OF FREEDOM
PHYSICAL EXAMPLE
GEOMETRIC PHASE
REVIVED PACKET
BERRY'S PHASE
CYCLING

All Related Versions

Version 1, 1995-02-02, ArXiv
Published version: Physical Review Letters, 74 (8), 1264.

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