Nonadiabatic factor accompanying magnetic translation of a charged particle

Details Nonadiabatic factor accompanying magnetic translation of a charged particle Nonadiabatic factor accompanying magnetic translation of a charged particle

2007-08-28

arxiv.org/abs/0708.3726v2

Physics

Quantum Physics

7 pages, no figures

Scientific paper

The quantum adiabatic theorem incorporating the Berry phase phenomenon can be characterized as a factorization of the time evolution operator into a path-dependent geometric factor, a usual dynamical factor and a non-adiabatic factor that approaches the identity in the adiabatic limit. We study a case where all these three factors can be constructed explicitly and where the instantaneous Hamiltonian has infinitely degenerate energy eigenstates associated with magnetic translation symmetry. Significance of the non-adiabatic factor in terms of transition probabilities is discussed.

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