Work

Evolution of momentum-dependent observables under stochastic phase noise in Rabi oscillations

Year: 2025

Type: article

Abstract: We derive the equations of motion of arbitrary momentum-dependent observables for a fully first-quantized, driven two-level atom in a linear potential under the presence of a stochastic laser phase. In particular, we show that such momentum-dependent observables evolve under stochastic differential equations (SDEs) in the form of geometrical Brownian motion and find that these SDEs reduce to ordinary differential equations (ODEs) for the expectation values under white laser phase noise. As an example, we solve these ODEs numerically and determine the effect of laser phase noise on Rabi oscillations including quantized center-of-mass degrees of freedom of the atom. Moreover, the SDE formalism we derive holds for any phase noise source and can also be applied to extended noise models such as color noise.

Source: Physical Review Research

DOI: 10.1103/physrevresearch.7.023048

Authors: Samuel Böhringer, Fabian Kienle, Richard Lopp

Institution: Universität Ulm

Language: English

Topic: Cold Atom Physics and Bose-Einstein Condensates

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,625

Funders: Bundesministerium für Wirtschaft und Klimaschutz, Deutsches Zentrum für Luft- und Raumfahrt