Bulletin of the American Physical Society
54th Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics
Volume 68, Number 7
Monday–Friday, June 5–9, 2023; Spokane, Washington
Session Q06: Collisions in Atomic and Molecular Systems
8:00 AM–9:36 AM,
Thursday, June 8, 2023
Room: 206 A
Chair: Allison Harris, Illinois State University
Abstract: Q06.00008 : A Gauge Field Theory of Coherent Matter Waves
9:24 AM–9:36 AM
Presenter:
Katarzyna Krzyzanowska
(Los Alamos Natlional Laboratory)
Authors:
Katarzyna Krzyzanowska
(Los Alamos Natlional Laboratory)
Dana Z Anderson
(University of Colorado, Boulder)
In this work, we develop the field-theoretic approach towards atomrtonics systems, aiming to highlight similarities (and differences) between electromagnetic and matter waves. As a starting point, we consider an oscillating current of ultracold neutral atoms whose mutual Van der Waals interactions cause them to repel. We show that the current oscillation imposes temporal coherence across a system: an aspect that is typically absent in many-body physics treatments. Moreover, the velocity associated with the gauge field is tied to that of the atoms, which in turn is influenced by an external potential that acts directly on the atoms. Finally, the quantization of the field introduces the matteron, a massless gauge boson that is an excitation quanta of the field. We expect that the presented formalism will allow leveraging sets of heuristic, analytical, and numerical tools developed for electromagnetics to describe atomtronics circuits more easily.
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