The Landau–Zener formula made simple
Eric P. Glasbrenner, Wolfgang P. Schleich
Abstract
Abstract We employ the Markov approximation and the well-known Fresnel-integral to derive in ‘one-line’ the familiar expression for the Landau–Zener transition probability. Moreover, we provide numerical as well as analytical justifications for our approach, and identify three characteristic motions of the probability amplitude in the complex plane.
Topics & Concepts
Zener diodePlane (geometry)Simple (philosophy)Statistical physicsMarkov chainLine (geometry)AmplitudeMathematicsExpression (computer science)PhysicsMathematical analysisComputer scienceGeometryQuantum mechanicsStatisticsResistorProgramming languagePhilosophyVoltageEpistemologyCold Atom Physics and Bose-Einstein CondensatesQuantum optics and atomic interactionsQuantum Information and Cryptography