Universal three-body physics in two dimensions and quasi-two dimensions

POSTER

Abstract

In this work we explore the three-body problem in two and quasi-two dimensions using the adiabatic hyperspherical representation. We developed the formalism in terms of the hyperangular democratic coordinates and determine several symmetry properties and boundary conditions. We explore the existence of purely two dimensional (2D) three-body bound states and their connections with the quasi-two dimensional case (Q2D). We also explore three-body confinement-induced resonances as well as the physics related to three-dimensional Efimov physics when transitioning to a Q2D geometry, illustrating experimental signatures of such effect relevant for Q2D ultracold quantum gases with strong interactions. Supported by AFOSR-MURI.

Authors

  • Jose P. D'Incao

    Department of Physics and JILA, University of Colorado, Boulder, JILA-University of Colorado Boulder, JILA, University of Colorado and Department of Physics, Kansas State University, JILA, University of Colorado and NIST

  • Brett D. Esry

    Kansas State University, J. R. Macdonald Laboratory, Kansas State University, Manhattan, Kansas, 66506, J. R. Macdonald Laboratory, Department of Physics, Kansas State University, J. R. Macdonald Laboratory, Department of Physics, Kansas State University, Manhattan, KS, USA, J. R. Macdonald Laboratory, Physics Dept., Kansas State University, Manhattan, KS, USA, Department of Physics, Kansas State University