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Paper detail

Quantum Hall effect in a one-dimensional dynamical system

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.

preprint2011arXivOpen access
J. P. DahlhausJ. M. EdgeJ. TworzydloC. W. J. Beenakker
cond-mat.mes-hallcond-mat.quant-gas
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J. P. DahlhausJ. M. EdgeJ. TworzydloC. W. J. Beenakker

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