Constraints on scattering amplitudes in multistate Landau-Zener theory
Abstract
Here, we derive a set of constraints, which we will call hierarchy constraints, on scattering amplitudes of an arbitrary multistate Landau-Zener model (MLZM). The presence of additional symmetries can transform such constraints into nontrivial relations between elements of the transition probability matrix. This observation can be used to derive complete solutions of some MLZMs or, for models that cannot be solved completely, to reduce the number of independent elements of the transition probability matrix.
- Authors:
-
[1];
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Univ. of California, Berkeley, CA (United States)
- Wayne State Univ., Detroit, MI (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1346843
- Alternate Identifier(s):
- OSTI ID: 1341911
- Report Number(s):
- LA-UR-16-26921
Journal ID: ISSN 2469-9926; PLRAAN; TRN: US1700911
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review A
- Additional Journal Information:
- Journal Volume: 95; Journal Issue: 1; Journal ID: ISSN 2469-9926
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Mathematics; Material Science; Quantum Algebra, Nonadiabatic Transition, Scattering Theory
Citation Formats
Sinitsyn, Nikolai A., Lin, Jeffmin, and Chernyak, Vladimir Y. Constraints on scattering amplitudes in multistate Landau-Zener theory. United States: N. p., 2017.
Web. doi:10.1103/PhysRevA.95.012140.
Sinitsyn, Nikolai A., Lin, Jeffmin, & Chernyak, Vladimir Y. Constraints on scattering amplitudes in multistate Landau-Zener theory. United States. https://doi.org/10.1103/PhysRevA.95.012140
Sinitsyn, Nikolai A., Lin, Jeffmin, and Chernyak, Vladimir Y. Mon .
"Constraints on scattering amplitudes in multistate Landau-Zener theory". United States. https://doi.org/10.1103/PhysRevA.95.012140. https://www.osti.gov/servlets/purl/1346843.
@article{osti_1346843,
title = {Constraints on scattering amplitudes in multistate Landau-Zener theory},
author = {Sinitsyn, Nikolai A. and Lin, Jeffmin and Chernyak, Vladimir Y.},
abstractNote = {Here, we derive a set of constraints, which we will call hierarchy constraints, on scattering amplitudes of an arbitrary multistate Landau-Zener model (MLZM). The presence of additional symmetries can transform such constraints into nontrivial relations between elements of the transition probability matrix. This observation can be used to derive complete solutions of some MLZMs or, for models that cannot be solved completely, to reduce the number of independent elements of the transition probability matrix.},
doi = {10.1103/PhysRevA.95.012140},
journal = {Physical Review A},
number = 1,
volume = 95,
place = {United States},
year = {2017},
month = {1}
}
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