Exact transition probabilities for a linear sweep through a KramersKronig resonance
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. In conclusion, we also discuss extension of our results to multistate systems.
 Authors:

^{[1]};
^{[2]}
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Texas A & M Univ., College Station, TX (United States)
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Publication Date:
 Report Number(s):
 LAUR1526180
Journal ID: ISSN 17518113
 Grant/Contract Number:
 AC5206NA25396
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of Physics. A, Mathematical and Theoretical
 Additional Journal Information:
 Journal Volume: 48; Journal Issue: 50; Journal ID: ISSN 17518113
 Publisher:
 IOP Publishing
 Research Org:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org:
 USDOE National Nuclear Security Administration (NNSA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; material science; inverse Faraday effect; qubit control; KramersKronig; scattering theory; LandauZener; Stokes phenomenon
 OSTI Identifier:
 1329893
 Alternate Identifier(s):
 OSTI ID: 1239010
Sun, Chen, and Sinitsyn, Nikolai A. Exact transition probabilities for a linear sweep through a KramersKronig resonance. United States: N. p.,
Web. doi:10.1088/17518113/48/50/505202.
Sun, Chen, & Sinitsyn, Nikolai A. Exact transition probabilities for a linear sweep through a KramersKronig resonance. United States. doi:10.1088/17518113/48/50/505202.
Sun, Chen, and Sinitsyn, Nikolai A. 2015.
"Exact transition probabilities for a linear sweep through a KramersKronig resonance". United States.
doi:10.1088/17518113/48/50/505202. https://www.osti.gov/servlets/purl/1329893.
@article{osti_1329893,
title = {Exact transition probabilities for a linear sweep through a KramersKronig resonance},
author = {Sun, Chen and Sinitsyn, Nikolai A.},
abstractNote = {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. In conclusion, we also discuss extension of our results to multistate systems.},
doi = {10.1088/17518113/48/50/505202},
journal = {Journal of Physics. A, Mathematical and Theoretical},
number = 50,
volume = 48,
place = {United States},
year = {2015},
month = {11}
}