Quantum Hall effect in a one-dimensional dynamical system

Details Quantum Hall effect in a one-dimensional dynamical system Quantum Hall effect in a one-dimensional dynamical system

2011-06-27

arxiv.org/abs/1106.5514v1

Phys.Rev.B 84, 115133 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages, 6 figures

Scientific paper

10.1103/PhysRevB.84.115133

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.

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