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Title: Exact transition probabilities for a linear sweep through a Kramers-Kronig 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 two-level system via the inverse Faraday effect. We explore the process in which the frequency of the beam is made linearly time-dependent 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, Kramers-Kronig 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]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Texas A & M Univ., College Station, TX (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Report Number(s):
LA-UR-15-26180
Journal ID: ISSN 1751-8113
Grant/Contract Number:
AC52-06NA25396
Type:
Accepted Manuscript
Journal Name:
Journal of Physics. A, Mathematical and Theoretical
Additional Journal Information:
Journal Volume: 48; Journal Issue: 50; Journal ID: ISSN 1751-8113
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; Kramers-Kronig; scattering theory; Landau-Zener; 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 Kramers-Kronig resonance. United States: N. p., Web. doi:10.1088/1751-8113/48/50/505202.
Sun, Chen, & Sinitsyn, Nikolai A. Exact transition probabilities for a linear sweep through a Kramers-Kronig resonance. United States. doi:10.1088/1751-8113/48/50/505202.
Sun, Chen, and Sinitsyn, Nikolai A. 2015. "Exact transition probabilities for a linear sweep through a Kramers-Kronig resonance". United States. doi:10.1088/1751-8113/48/50/505202. https://www.osti.gov/servlets/purl/1329893.
@article{osti_1329893,
title = {Exact transition probabilities for a linear sweep through a Kramers-Kronig 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 two-level system via the inverse Faraday effect. We explore the process in which the frequency of the beam is made linearly time-dependent 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, Kramers-Kronig 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 = {10.1088/1751-8113/48/50/505202},
journal = {Journal of Physics. A, Mathematical and Theoretical},
number = 50,
volume = 48,
place = {United States},
year = {2015},
month = {11}
}