Exact transition probabilities for a linear sweep through a Kramers-Kronig 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 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:
-
- 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:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1329893
- Alternate Identifier(s):
- OSTI ID: 1239010
- Report Number(s):
- LA-UR-15-26180
Journal ID: ISSN 1751-8113
- Grant/Contract Number:
- AC52-06NA25396
- Resource 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
- 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
Citation Formats
Sun, Chen, and Sinitsyn, Nikolai A. Exact transition probabilities for a linear sweep through a Kramers-Kronig resonance. United States: N. p., 2015.
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. https://doi.org/10.1088/1751-8113/48/50/505202
Sun, Chen, and Sinitsyn, Nikolai A. Thu .
"Exact transition probabilities for a linear sweep through a Kramers-Kronig resonance". United States. https://doi.org/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 = {Thu Nov 19 00:00:00 EST 2015},
month = {Thu Nov 19 00:00:00 EST 2015}
}
Web of Science
Works referenced in this record:
Valley Zeeman effect in elementary optical excitations of monolayer WSe2
journal, January 2015
- Srivastava, Ajit; Sidler, Meinrad; Allain, Adrien V.
- Nature Physics, Vol. 11, Issue 2
Spectroscopy of spontaneous spin noise as a probe of spin dynamics and magnetic resonance
journal, September 2004
- Crooker, S. A.; Rickel, D. G.; Balatsky, A. V.
- Nature, Vol. 431, Issue 7004
Interferometric measurement of local spin fluctuations in a quantum gas
journal, April 2012
- Meineke, Jakob; Brantut, Jean-Philippe; Stadler, David
- Nature Physics, Vol. 8, Issue 6
Theoretical Discussion of the Inverse Faraday Effect, Raman Scattering, and Related Phenomena
journal, March 1966
- Pershan, P. S.; van der Ziel, J. P.; Malmstrom, L. D.
- Physical Review, Vol. 143, Issue 2
Ultrafast non-thermal control of magnetization by instantaneous photomagnetic pulses
journal, May 2005
- Kimel, A. V.; Kirilyuk, A.; Usachev, P. A.
- Nature, Vol. 435, Issue 7042
SU(3) Landau-Zener interferometry
journal, December 2013
- Kiselev, M. N.; Kikoin, K.; Kenmoe, M. B.
- EPL (Europhysics Letters), Vol. 104, Issue 5
Characterization of Qubit Dephasing by Landau-Zener-Stückelberg-Majorana Interferometry
journal, March 2014
- Forster, F.; Petersen, G.; Manus, S.
- Physical Review Letters, Vol. 112, Issue 11
Exact Classification of Landau-Majorana-Stückelberg-Zener Resonances by Floquet Determinants
journal, September 2013
- Ganeshan, Sriram; Barnes, Edwin; Das Sarma, S.
- Physical Review Letters, Vol. 111, Issue 13
Interplay of charge and spin coherence in Landau-Zener-Stückelberg-Majorana interferometry
journal, June 2013
- Ribeiro, Hugo; Petta, J. R.; Burkard, Guido
- Physical Review B, Vol. 87, Issue 23
Vibrational Mode Multiplexing of Ultracold Atoms
journal, November 2013
- Martínez-Garaot, S.; Torrontegui, E.; Chen, Xi
- Physical Review Letters, Vol. 111, Issue 21
Landau–Zener method to study quantum phase interference of Fe8 molecular nanomagnets (invited)
journal, May 2000
- Wernsdorfer, W.; Sessoli, R.; Caneschi, A.
- Journal of Applied Physics, Vol. 87, Issue 9
Effects of Nuclear Spins on the Quantum Relaxation of the Magnetization for the Molecular Nanomagnet
journal, March 2000
- Wernsdorfer, W.; Caneschi, A.; Sessoli, R.
- Physical Review Letters, Vol. 84, Issue 13
Nonadiabatic Landau-Zener tunneling in Fe 8 molecular nanomagnets
journal, May 2000
- Wernsdorfer, W.; Sessoli, R.; Caneschi, A.
- Europhysics Letters (EPL), Vol. 50, Issue 4
Dissipative Landau-Zener transitions of a qubit: Bath-specific and universal behavior
journal, June 2007
- Saito, Keiji; Wubs, Martijn; Kohler, Sigmund
- Physical Review B, Vol. 75, Issue 21
Quantum dynamics of a two-state system in a dissipative environment
journal, March 1991
- Ao, Ping; Rammer, Jo/rgen
- Physical Review B, Vol. 43, Issue 7
Decoherence in adiabatic quantum computation
journal, February 2009
- Amin, M. H. S.; Averin, Dmitri V.; Nesteroff, James A.
- Physical Review A, Vol. 79, Issue 2
Landau-Zener transitions in a system of interacting spins: Exact results for demagnetization probability
journal, February 2006
- Ostrovsky, V. N.; Volkov, M. V.
- Physical Review B, Vol. 73, Issue 6
Coherent Particle Transfer in an On-Demand Single-Electron Source
journal, November 2008
- Keeling, J.; Shytov, A. V.; Levitov, L. S.
- Physical Review Letters, Vol. 101, Issue 19
Gauging a Quantum Heat Bath with Dissipative Landau-Zener Transitions
journal, November 2006
- Wubs, Martijn; Saito, Keiji; Kohler, Sigmund
- Physical Review Letters, Vol. 97, Issue 20
Cavity-Mediated Entanglement Generation Via Landau-Zener Interferometry
journal, April 2013
- Quintana, C. M.; Petersson, K. D.; McFaul, L. W.
- Physical Review Letters, Vol. 110, Issue 17
High-Fidelity Rapid Ground-State Loading of an Ultracold Gas into an Optical Lattice
journal, August 2014
- Masuda, Shumpei; Nakamura, Katsuhiro; del Campo, Adolfo
- Physical Review Letters, Vol. 113, Issue 6
Assisted Finite-Rate Adiabatic Passage Across a Quantum Critical Point: Exact Solution for the Quantum Ising Model
journal, September 2012
- del Campo, Adolfo; Rams, Marek M.; Zurek, Wojciech H.
- Physical Review Letters, Vol. 109, Issue 11
Many-body Landau–Zener dynamics in coupled one-dimensional Bose liquids
journal, October 2010
- Chen, Yu-Ao; Huber, Sebastian D.; Trotzky, Stefan
- Nature Physics, Vol. 7, Issue 1
Landau-Zener Sweeps and Sudden Quenches in Coupled Bose-Hubbard Chains
journal, April 2011
- Kasztelan, C.; Trotzky, S.; Chen, Y. -A.
- Physical Review Letters, Vol. 106, Issue 15
Phase diagram of Landau-Zener phenomena in coupled one-dimensional Bose quantum fluids
journal, February 2012
- Caballero-Benítez, Santiago F.; Paredes, Rosario
- Physical Review A, Vol. 85, Issue 2
Nonequilibrium dynamics in Bose-Hubbard ladders
journal, December 2012
- Tschischik, Wladimir; Haque, Masudul; Moessner, Roderich
- Physical Review A, Vol. 86, Issue 6
Exact results for models of multichannel quantum nonadiabatic transitions
journal, December 2014
- Sinitsyn, N. A.
- Physical Review A, Vol. 90, Issue 6
Counterintuitive transitions in the multistate Landau–Zener problem with linear level crossings
journal, October 2004
- Sinitsyn, N. A.
- Journal of Physics A: Mathematical and General, Vol. 37, Issue 44
Counterintuitive transitions between crossing energy levels
journal, November 2005
- Rangelov, A. A.; Piilo, J.; Vitanov, N. V.
- Physical Review A, Vol. 72, Issue 5
S-matrix for generalized Landau-Zener problem
journal, March 1993
- Brundobler, S.; Elser, Veit
- Journal of Physics A: Mathematical and General, Vol. 26, Issue 5
Creation of ultracold molecules from a Fermi gas of atoms
journal, July 2003
- Regal, Cindy A.; Ticknor, Christopher; Bohn, John L.
- Nature, Vol. 424, Issue 6944
Production efficiency of Feshbach molecules in fermion systems
journal, January 2006
- Dobrescu, B. E.; Pokrovsky, V. L.
- Physics Letters A, Vol. 350, Issue 1-2
Nonadiabaticity and large fluctuations in a many-particle Landau-Zener problem
journal, April 2009
- Altland, Alexander; Gurarie, V.; Kriecherbauer, T.
- Physical Review A, Vol. 79, Issue 4
Many Body Generalization of the Landau-Zener Problem
journal, February 2008
- Altland, Alexander; Gurarie, V.
- Physical Review Letters, Vol. 100, Issue 6
Landau-Zener transitions in chains
journal, March 2013
- Sinitsyn, N. A.
- Physical Review A, Vol. 87, Issue 3
Non-adiabacity and large flucutations in a many particle Landau Zener problem
text, January 2008
- Altland, A.; Gurarie, V.; Kriecherbauer, T.
- arXiv
Works referencing / citing this record:
Solvable multistate model of Landau-Zener transitions in cavity QED
text, January 2016
- Sinitsyn, Nikolai A.; Li, Fuxiang
- arXiv
The theory of spin noise spectroscopy: a review
journal, September 2016
- Sinitsyn, Nikolai A.; Pershin, Yuriy V.
- Reports on Progress in Physics, Vol. 79, Issue 10