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Open Quantum Systems Decoherence

Constraints on scattering amplitudes in multistate Landau-Zener theory

arXiv
Authors: N. A. Sinitsyn, J. Lin, V. Y. Chernyak

Year

2016

Paper ID

43463

Status

Preprint

Abstract Read

~2 min

Abstract Words

74

Citations

N/A

Abstract

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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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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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).

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