Constraints on scattering amplitudes in multistate Landau-Zener theory

Sinitsyn, Nikolai A.; Lin, Jeffmin; Chernyak, Vladimir Y.

doi:10.1103/PhysRevA.95.012140

Title: Constraints on scattering amplitudes in multistate Landau-Zener theory

Journal Article · Mon Jan 30 00:00:00 EST 2017 · Physical Review A

DOI:https://doi.org/10.1103/PhysRevA.95.012140· OSTI ID:1346843

^[1]; Lin, Jeffmin ^[2]; Chernyak, Vladimir Y. ^[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)

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.

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Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1346843

Alternate ID(s):: OSTI ID: 1341911

Report Number(s):: LA-UR-16-26921; PLRAAN; TRN: US1700911

Journal Information:: Physical Review A, Vol. 95, Issue 1; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 19 works

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Title: Constraints on scattering amplitudes in multistate Landau-Zener theory

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