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Berry's Phase in the Coherent Excitation of Atoms
Authors:SM Barnett  D Ellinas  MA Dupertuis
Affiliation:1. Research Institute for Theoretical Physics , Siltavuorenpenger 20C, SF-00170, Helsinki 17, Finland;2. Theoretical Physics Division , AERE Harwell , Oxfordshire, OX11 0RA, England;3. Research Institute for Theoretical Physics , Siltavuorenpenger 20C, SF-00170, Helsinki 17, Finland;4. Laboratoire d'optoélectronique, Institut de physique appliquée, EPFL—Département de physique , PHB-Ecubiens, CH-1015, Lausanne, Switzerland
Abstract:Abstract

The adiabatic variation of a Hamiltonian can cause the wavefunction, governed by the Hamiltonian, to acquire an unexpected phase. The existence of this phase (Berry's phase) is an additional element in the well-known quantum adiabatic theorem. Berry's phase is observable in the interference between two identically prepared systems only one of which is adiabatically varied. We show that a single quantum system prepared in a superposition of the eigenstates of its Hamiltonian leads to observable Berry phase effects at all times. We examine this principle within the context of two-level optical resonance.
Keywords:
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