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arXiv · 1106.5514

Quantum Hall effect in a one-dimensional dynamical system

J. P. Dahlhaus·J. M. Edge·J. Tworzydlo·C. W. J. Beenakker
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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.

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J. P. Dahlhaus, J. M. Edge, J. Tworzydlo, C. W. J. Beenakker. 2011-06-27. Quantum Hall effect in a one-dimensional dynamical system. https://doi.org/10.1103/physrevb.84.115133

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