Multi-Channel Computations in Low-Dimensional Few-Body Physics

TL;DR

This paper reviews computational methods for low-dimensional few-body problems in ultracold atoms and molecules, highlighting multi-channel techniques, key results, and future directions in 2D and 1D optical lattice systems.

Contribution

It introduces specialized computational algorithms for multi-channel low-dimensional few-body problems and discusses their application to ultracold atomic systems.

Findings

Development of new computational methods for multi-channel problems

Quantitative descriptions of ultracold atoms in 2D and 1D lattices

Future perspectives on computational approaches

Abstract

In this lecture I give a brief review of low-dimensional few-body problems recently encountered in attempting a quantitative description of ultracold atoms and molecules confined in 2D and 1D optical lattices. Multi-channel nature of these processes has required the development of special computational methods and algorithms which I discuss here as well as the most interesting results obtained with the offered computational technique and future perspectives.