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Title: 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:
ORCiD logo [1];  [2];  [3]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Univ. of California, Berkeley, CA (United States)
  3. 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:
Journal Article: 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. doi: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. doi: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 = {Mon Jan 30 00:00:00 EST 2017},
month = {Mon Jan 30 00:00:00 EST 2017}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 3 works
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