6533b82dfe1ef96bd1290b5c

RESEARCH PRODUCT

Inverse problem for the Landau-Zener effect

Dmitry A. GaraninRolf Schilling

subject

PhysicsCondensed Matter - Mesoscale and Nanoscale PhysicsZener effectStatistical Mechanics (cond-mat.stat-mech)General Physics and AstronomyInverseFOS: Physical sciencesState (functional analysis)Inverse problemResonance (particle physics)Excited stateQuantum mechanicsMesoscale and Nanoscale Physics (cond-mat.mes-hall)Condensed Matter - Statistical Mechanics

description

We consider the inverse Landau-Zener problem which consists in finding the energy-sweep functions W(t)=E1(t)-E2(t) resulting in the required time dependences of the level populations for a two-level system crossing the resonance one or more times during the sweep. We find sweep functions of particular forms that let manipulate the system in a required way, including complete switching from the state 1 to the state 2 and preparing the system at the exact ground and excited states at resonance.

https://dx.doi.org/10.48550/arxiv.cond-mat/0202314