Geometric phase effects for wavepacket revivals

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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Revtex, 11 pages, no figures.

Scientific paper

10.1103/PhysRevLett.74.1264

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.

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