Experimental observation of the avoided crossing of two $S$-matrix resonance poles in an ultracold atom collider

• URL: http://arxiv.org/abs/2103.05278v2
• Date: Thu, 5 Aug 2021 01:26:32 GMT
• Title: Experimental observation of the avoided crossing of two $S$-matrix resonance poles in an ultracold atom collider
• Authors: Matthew Chilcott, Ryan Thomas, and Niels Kj{\ae}rgaard
• Abstract summary: We study the interplay between two scattering poles relating to a shape resonance and a magnetically tunable Feshbach resonance. We exploit the tunability of the Feshbach resonance to observe a compelling avoided crossing of the poles in their energies.
• Score: 0.20391237204597357
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: In quantum mechanics, collisions between two particles are captured by a scattering matrix which describes the transfer from an initial entrance state to an outgoing final state. Analyticity of the elements of this $S$-matrix enables their continuation onto the complex energy plane and opens up a powerful and widely used framework in scattering theory, where bound states and scattering resonances for a physical system are ascribed to $S$-matrix poles. In the Gedankenexperiment of gradually changing the potential parameters of the system, the complex energy poles will begin to move, and in their ensuing flow, two poles approaching will interact. An actual observation of this intriguing interaction between scattering poles in a collision experiment has, however, been elusive. Here, we expose the interplay between two scattering poles relating to a shape resonance and a magnetically tunable Feshbach resonance by studying ultracold atoms with a laser-based collider. We exploit the tunability of the Feshbach resonance to observe a compelling avoided crossing of the poles in their energies which is the hallmark of a strongly coupled system.

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