Exact transition probabilities for a linear sweep through a KramersKronig resonance
Abstract
We consider a localized electronic spin controlled by a circularly polarized optical beam and an external magnetic field. When the frequency of the beam is tuned near an optical resonance with a continuum of higher energy states, effective magnetic fields are induced on the twolevel system via the inverse Faraday effect. We explore the process in which the frequency of the beam is made linearly timedependent so that it sweeps through the optical resonance, starting and ending at the values far away from it. In addition to changes of spin states, KramersKronig relations guarantee that a localized electron can also escape into a continuum of states. We argue that probabilities of transitions between different possible electronic states after such a sweep of the optical frequency can be found exactly, regardless the shape of the resonance. We also discuss extension of our results to multistate systems.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 December 2015
 DOI:
 10.1088/17518113/48/50/505202
 arXiv:
 arXiv:1508.01213
 Bibcode:
 2015JPhA...48X5202S
 Keywords:

 Condensed Matter  Mesoscale and Nanoscale Physics;
 Quantum Physics
 EPrint:
 12 pages, 6 figures