Constraints on scattering amplitudes in multistate LandauZener theory
Here, we derive a set of constraints, which we will call hierarchy constraints, on scattering amplitudes of an arbitrary multistate LandauZener 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]}
;
^{[2]};
^{[3]}
 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:
 Report Number(s):
 LAUR1626921
Journal ID: ISSN 24699926; PLRAAN; TRN: US1700911
 Grant/Contract Number:
 AC5206NA25396
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review A
 Additional Journal Information:
 Journal Volume: 95; Journal Issue: 1; Journal ID: ISSN 24699926
 Publisher:
 American Physical Society (APS)
 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; Mathematics; Material Science; Quantum Algebra, Nonadiabatic Transition, Scattering Theory
 OSTI Identifier:
 1346843
 Alternate Identifier(s):
 OSTI ID: 1341911
Sinitsyn, Nikolai A., Lin, Jeffmin, and Chernyak, Vladimir Y.. Constraints on scattering amplitudes in multistate LandauZener theory. United States: N. p.,
Web. doi:10.1103/PhysRevA.95.012140.
Sinitsyn, Nikolai A., Lin, Jeffmin, & Chernyak, Vladimir Y.. Constraints on scattering amplitudes in multistate LandauZener theory. United States. doi:10.1103/PhysRevA.95.012140.
Sinitsyn, Nikolai A., Lin, Jeffmin, and Chernyak, Vladimir Y.. 2017.
"Constraints on scattering amplitudes in multistate LandauZener 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 LandauZener 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 LandauZener 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}
}