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SUMMARY:Quantum Hall effect in a one-dimensional dynamical system - Jonath
 an Edge\, Leiden University
DTSTART:20120203T153000Z
DTEND:20120203T163000Z
UID:TALK35361@talks.cam.ac.uk
CONTACT:Daniel Cole
DESCRIPTION:We construct a periodically time-dependent Hamiltonian with a 
 phase transition in the quantum Hall universality class. This Hamiltonian 
 is closely related to that of a discrete time quantum walker\, but additio
 nally it allows us to study effects of disorder. A particular choice for t
 he form of the Hamiltonian enables us to determine the time evolution of t
 he system in one of the dimensions exactly. Simulations of the system can 
 thus be performed in one dimension\, thereby reducing the computational ef
 fort required. We investigate the topological phase transition associated 
 with tuning between different quantum Hall plateaux and determine the crit
 ical exponent for the divergence of the localisation length. Our scheme ca
 n in principle also be implemented in cold atoms experiments\, opening the
  doors to investigating the quantum Hall phase transition in a one-dimensi
 onal cold atoms set up.
LOCATION:TCM Seminar Room\, Cavendish Laboratory
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