The effect of classical noise on a quantum two-level system

Simple item page
dc.creatorAguilar, Jean-Philippe
dc.creatorBerglund, Nils
dc.date2008-05-07
dc.date.accessioned2026-07-07T12:18:38Z
dc.date.available2026-07-07T12:18:38Z
dc.descriptionWe consider a quantum two-level system perturbed by classical noise. The noise is implemented as a stationary diffusion process in the off-diagonal matrix elements of the Hamiltonian, representing a transverse magnetic field. We determine the invariant measure of the system and prove its uniqueness. In the case of Ornstein-Uhlenbeck noise, we determine the speed of convergence to the invariant measure. Finally, we determine an approximate one-dimensional diffusion equation for the transition probabilities. The proofs use both spectral-theoretic and probabilistic methods.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/0805.0869
dc.identifierhttp://arxiv.org/abs/0805.0869
dc.identifierJournal of Mathematical Physics 49 (2008) 102102
dc.identifierdoi:10.1063/1.2988180
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212475
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60h10, 35P15, 81Q15, 93E03
dc.titleThe effect of classical noise on a quantum two-level system
dc.typetext

Files

Collections

arXiv