Freiburg 2024 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 18: Trapping and Cooling of Atoms (joint session Q/A)

Q 18.7: Talk

Tuesday, March 12, 2024, 12:45–13:00, HS 1221

Confinement Induced Resonances in Spherical Shell Traps — •C. Moritz Carmesin¹ and Maxim A. Efremov^2,1 — ¹Institute of Quantum Physics and Center for Integrated Quantum Science and Technology (IQST), Universität Ulm, 89081 Ulm, Germany — ²German Aerospace Center (DLR), Institute of Quantum Technologies, 89081 Ulm, Germany

We have computed exactly the energy spectrum and corresponding wave functions of two bosonic particles, which are confined in a spherically symmetric shell-shaped trap of the radius r₀ and interact with each other via a three-dimensional zero-range potential characterized by the s-wave scattering length a₀. Confinement induced resonances (CIRs) are found to occur at certain values of r₀ and a₀ as avoided crossings between the bound (molecular) and trap (non-molecular) states, as well as between two trap states. The found CIRs originate entirely from the strong coupling of the relative and center-of-mass motions of the two particles. By working close to a CIR, that is at a certain shell radius and a given scattering length, these results offer a new way to increase the atom-atom interaction and even to drive the formation of molecules in the shell-shaped atomic gas.

Keywords: shell-shaped traps; confinement induced resonances