Quantum Hall effect in a one-dimensional dynamical system
Mesoscale and Nanoscale Physics
2011-10-20 v1 Quantum Gases
Abstract
We construct a periodically time-dependent Hamiltonian with a phase transition in the quantum Hall universality class. One spatial dimension can be eliminated by introducing a second incommensurate driving frequency, so that we can study the quantum Hall effect in a one-dimensional (1D) system. This reduction to 1D is very efficient computationally and would make it possible to perform experiments on the 2D quantum Hall effect using cold atoms in a 1D optical lattice.
Cite
@article{arxiv.1106.5514,
title = {Quantum Hall effect in a one-dimensional dynamical system},
author = {J. P. Dahlhaus and J. M. Edge and J. Tworzydlo and C. W. J. Beenakker},
journal= {arXiv preprint arXiv:1106.5514},
year = {2011}
}
Comments
8 pages, 6 figures