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Constraints on scattering amplitudes in multistate Landau-Zener theory

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arxiv 1609.06285 v2 pith:JCJ6BFCO submitted 2016-09-20 quant-ph cond-mat.mes-hallmath-phmath.MPnlin.SI

Constraints on scattering amplitudes in multistate Landau-Zener theory

N. A. Sinitsyn , J. Lin , V. Y. Chernyak This is my paper
classification quant-ph cond-mat.mes-hallmath-phmath.MPnlin.SI
keywords constraintsamplitudesderiveelementslandau-zenermatrixmultistateprobability
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We derive a set of constraints, which we will call hierarchy constraints (HCs), 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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