Observing S-Matrix Pole Flow in Resonance Interplay: Cold Collisions of Ultracold Atoms in a Miniature Laser-based Accelerator

• URL: http://arxiv.org/abs/2405.03149v1
• Date: Mon, 6 May 2024 03:58:33 GMT
• Title: Observing S-Matrix Pole Flow in Resonance Interplay: Cold Collisions of Ultracold Atoms in a Miniature Laser-based Accelerator
• Authors: Matthew Chilcott, Samyajit Gayen, James Croft, Ryan Thomas, Niels Kjærgaard,
• Abstract summary: We unveil resonance phenomena such as Feshbach and shape resonances in their quintessential form. We exploit the tunability of magnetic Feshbach resonances to instigate an interplay between scattering resonances. We discuss the possibility of using $S$-matrix pole interplay between two Feshbach resonances to create a bound-state-in-the-continuum.
• Score: 0.06213771671016098
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: We provide an overview of experiments exploring resonances in the collision of ultracold clouds of atoms. Using a laser-based accelerator that capitalizes on the energy resolution provided by the ultracold atomic setting, we unveil resonance phenomena such as Feshbach and shape resonances in their quintessential form by literally photographing the halo of outgoing scattered atoms. We exploit the tunability of magnetic Feshbach resonances to instigate an interplay between scattering resonances. By experimentally recording the scattering in a parameter space spanned by collision energy and magnetic field, we capture the imprint of the $S$-matrix pole flow in the complex energy plane. After revisiting experiments that place a Feshbach resonance in the proximity of a shape resonance and an anti-bound state, respectively, we discuss the possibility of using $S$-matrix pole interplay between two Feshbach resonances to create a bound-state-in-the-continuum.

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