6533b85bfe1ef96bd12bbed3

RESEARCH PRODUCT

Three-state quantum systems: A procedure for the solution

E. FiordilinoF. Bagarello

subject

PhysicsSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciIterative methodDifferential equationGeneral Physics and AstronomyAtom (order theory)State (functional analysis)LaserHermitian matrixlaw.inventionlawQuantum mechanicsGeneral mathematical and computational developmentQuantumExcitation

description

An iterative method to obtain a solution of the differential equation $$i\dot a = \hat H(t)a$$ , with Ĥ a 3×3 Hermitian matrix anda the unknown vector, is proposed. The procedure is particularly suitable for computer implementation and, as an example, has been applied to find the excitation probability of a three-level atom after the synchronous passage of two laser pulses each almost resonant with a pair of atomic levels.

https://doi.org/10.1007/bf02450990