61 citations · 366 across the 19 of their papers we have counts for
8 papers · 1 filter
Ultracold collisions of a neutral atom with a trapped ion in 1D
Seth T. Rittenhouse, Lorenzo Oghittu, Arghavan Safavi-Naini +2
We present a fully quantum mechanical description of a free Li atom scattering from a trapped Yb ion in one dimension. By reformulating the system in polar coordina…
Homonuclear ultracold elastic -wave collisions of alkali atoms via multichannel quantum defect theory
Alyson Laskowski, Nirav Mehta
Multichannel quantum defect theory (MQDT) provides a powerful toolkit for describing and understanding collisions of cold alkali atoms. Various MQDT approximations differ primarily…
Scattering of two particles in a 1D lattice
Seth T. Rittenhouse, P. Giannakeas, Nirav P. Mehta
This study concerns the two-body scattering of particles in a one-dimensional periodic potential. A convenient ansatz allows for the separation of center-of-mass and relative motio…
A Model for Scattering with Proliferating Resonances: Many Coupled Square Wells
Nirav P. Mehta, Kaden R. A. Hazzard, Christopher Ticknor
We present a multichannel model for elastic interactions, comprised of an arbitrary number of coupled finite square-well potentials, and derive semi-analytic solutions for its scat…
The Hyperspherical Four-Fermion Problem
Seth T. Rittenhouse, J. von Stecher, J. P. D'Incao +2
The problem of a few interacting fermions in quantum physics has sparked intense interest, particularly in recent years owing to connections with the behavior of superconductors, f…
Green's Functions and the Adiabatic Hyperspherical Method
Seth T. Rittenhouse, N. P. Mehta, Chris H. Greene
We address the few-body problem using the adiabatic hyperspherical representation. A general form for the hyperangular Green's function in -dimensions is derived. The resulting…