Scattering properties of three ultracold atoms in a cylindrical waveguide geometry

Kevin L. Moore, Subhadeep Gupta, Kater W. Murch +1 more

Eric Braaten, Masaoki Kusunoki, Dongqing Zhang

Martin Fink

A coupling of an atomic quantum system to a mesoscopic solid-state object constitutes a so called hybrid quantum system. The present thesis focuses on a fundamental hybrid quantum system consisting of ultracold atoms interacting with a cylindrical geometry. A thorough understanding of the scattering process gives insight into the underlying physics and thus promotes a deeper understanding of nanowire-based hybrid systems of higher complexity.

Elena A. Kolganova, Alexander Konstantinovich Motovilov, Werner Sandhas

Vladimir S. Melezhik, J. I. Kim, Peter Schmelcher

A wave-packet propagation method is developed and applied to investigate the quantum dynamics of scattering processes of identical and distinguishable atoms in harmonic waveguides. The quantum dynamics of the confinement-induced resonances (CIRs) for ultracold collisions of identical particles, $s$-wave CIRs for bosons and $p$-wave CIRs for fermions, is explored in detail. Our multigrid approach allows us to fully take into account the coupling between the center-of-mass (c.m.) and relative motions in the case of distinguishable atoms. The latter includes, in particular, $s$- and $p$-partial-wave mixing, caused by the confining trap, which acts differently on the different atomic species. Specifically, we explore in detail the recently discovered [J. I. Kim, V. S. Melezhik, and P. Schmelcher, Phys. Rev. Lett. 97, 193203 (2006)] dual CIR, which is based on a destructive interference mechanism leading to complete transmission in the waveguide, although the corresponding scattering in free space exhibits strong $s$- and $p$-wave scattering.

Martin C. Kandes, Oscar O. Salazar, M. W. J. Bromley