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Counterintuitive transitions in the multistate Landau-Zener problem with linear level crossings

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arxiv quant-ph/0403113 v2 pith:DXSTWFKI submitted 2004-03-16 quant-ph cond-mat.othermath-phmath.MP

Counterintuitive transitions in the multistate Landau-Zener problem with linear level crossings

classification quant-ph cond-mat.othermath-phmath.MP
keywords counterintuitivelandau-zenerlevelmultistateproblemslopestatestransitions
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We generalize the Brundobler-Elser hypothesis in the multistate Landau-Zener problem to the case when instead of a state with the highest slope of the diabatic energy level there is a band of states with an arbitrary number of parallel levels having the same slope. We argue that the probabilities of counterintuitive transitions among such states are exactly zero.

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