English

Geometric phase effects for wavepacket revivals

solv-int 2016-09-08 v1 Exactly Solvable and Integrable Systems Quantum Physics

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

Cite

@article{arxiv.solv-int/9501009,
  title  = {Geometric phase effects for wavepacket revivals},
  author = {Christopher Jarzynski},
  journal= {arXiv preprint arXiv:solv-int/9501009},
  year   = {2016}
}

Comments

Revtex, 11 pages, no figures.