Experimental observation of the avoided crossing of two -matrix resonance poles in an ultracold atom collider
arXiv:2103.05278 · doi:10.1103/PhysRevResearch.3.033209
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 -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 -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.
for a movie of the flowing poles and their imprint on the scattering cross section, see https://www.physics.otago.ac.nz/data/nk/files/AnaCont.mp4
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Cited by in corpus (8)
- Use of Transmission and Reflection Complex Time Delays to Reveal Scattering Matrix Poles and Zeros: Example of the Ring Graph
- Observation of the P-wave Shape Resonance
- Microscopy of an ultranarrow Feshbach resonance using a laser-based atom collider: A quantum defect theory analysis
- Average Atom Model with Siegert States
- Closed-channel parameters of Feshbach resonances
- Observing S-Matrix Pole Flow in Resonance Interplay: Cold Collisions of Ultracold Atoms in a Miniature Laser-based Accelerator
- Hidden quantum-classical correspondence in chaotic billiards revealed by mutual information
- Resonance-facilitated three-channel p-wave scattering