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  • Open Access

Confinement-Induced Resonances in Spherical Shell Traps

C. Moritz Carmesin1,* and Maxim A. Efremov1,2

  • *Contact author: moritz.carmesin@uni-ulm.de
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Phys. Rev. Lett. 134, 243401 – Published 17 June, 2025

DOI: https://doi.org/10.1103/hfyx-r11q

Abstract

The energy spectrum and corresponding wave functions of two bosonic particles confined in a spherically symmetric shell trap and interacting via a three-dimensional zero-range potential are computed. Confinement-induced resonances, originating entirely from the strong coupling of the relative and center-of-mass motions of the two particles, are identified as avoided crossings for certain values of the shell radius. By working close to the found resonances, these results offer a new way to control the atom-atom interaction in an atomic gas by tuning only the geometrical parameters of the shell.

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  53. The neglect of Vc is valid only for r0≲2aho. For increasing values of r0, more and more terms of Vc have to be taken into account. For r0/aho→∞, however, the sum of W/ξ2+Vc vanishes for particles exactly on the sphere with radius r0.

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Phys. Rev. Lett. 134, 243401– Published 17 June, 2025
  • Received 6 December 2023
  • Revised 8 May 2025
  • Accepted 14 May 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

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