6533b853fe1ef96bd12ad647
RESEARCH PRODUCT
Landau-Zener problem in a three-level neutrino system with non-linear time dependence
P. KeränenP. KeränenJ. RiittinenJukka MaalampiJukka MaalampiM. Myyryläinensubject
Density matrixPhysicsQuantum PhysicsNuclear and High Energy Physics010308 nuclear & particles physicsAstrophysics (astro-ph)FOS: Physical sciencesAstrophysicsCondensed Matter::Mesoscopic Systems and Quantum Hall Effect01 natural sciencesThree levelHigh Energy Physics - PhenomenologyNonlinear systemsymbols.namesakeHigh Energy Physics - Phenomenology (hep-ph)Quantum mechanics0103 physical sciencessymbolsZener diodeNeutrino010306 general physicsLandau–Zener formulaHamiltonian (quantum mechanics)Quantum Physics (quant-ph)description
We consider the level-crossing problem in a three-level system with non-linearly time-varying Hamiltonian (time-dependence $t^{-3}$). We study the validity of the so-called independent crossing approximation in the Landau-Zener model by making comparison with results obtained numerically in density matrix approach. We also demonstrate the failure of the so-called "nearest zero" approximation of the Landau-Zener level-crossing probability integral.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2006-11-03 |