Work

Time-dependent adiabatic elimination in matter-wave optics

Year: 2026

Type: article

Abstract: We show how the dynamics of a specific subset of states can be separated from the dynamic of the total quantum state via a time-dependent projector-based formalism of adiabatic elimination. Within our formalism, we assume an explicit time dependency in the coupling between both subsystems. Additionally, we do not assume that the elements of the Hamiltonian commute, as in matter-wave optics, this is not given in general. Here, the center-of-mass degrees of freedom frequently need to be taken into account. Assuming non-commutativity also enables the application of this formalism to matrices of arbitrary dimension and the treatment of the adiabatic elimination in high dimensional systems, where the elimination may be needed to reduce the overall complexity. In particular, we apply our formalism to typical mechanisms in matter-wave optics, Raman, and Bragg diffraction.

Source: AVS Quantum Science

DOI: 10.1116/5.0304521

Authors: Samuel Böhringer, Alexander Bott, Eric P. Glasbrenner

Institutions: Universität Ulm, Center for Integrated Quantum Science and Technology

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: hybrid

Funder: Bundesministerium für Wirtschaft und Klimaschutz

Awards: G405359874, G4934736810, G6306435150