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SUMMARY:Topological pumps and topological quasicrystals - Oded Zilberberg 
 (ETH\, Zurich)
DTSTART:20161107T153000Z
DTEND:20161107T170000Z
UID:TALK68366@talks.cam.ac.uk
CONTACT:6270
DESCRIPTION:Topological phases of matter have fascinated researchers since
  over 30 years. Indeed\, this year's Nobel prize joins the two Nobel award
 s for the quantum Hall effects in commending this unique field. In my talk
 \, I will start with the quantum Hall effect and demonstrate how it is rel
 ated to topological pumps. Using Laughlin's argument\, we shall see how su
 ch pumps are best understood in the context of time-dependent electronic (
 fermionic) systems. I will\, then\, present our realizations of topologica
 l pumps using two completely different bosonic systems\, namely\, using co
 upled photonic waveguide arrays and with trapped atoms in optical superlat
 tices. In the second part of my talk\, I will detail the connection betwee
 n quasicrystals and topological pumps. In this context\, we have found tha
 t quasicrystals inherit topological attributes from their corresponding pu
 mps\, i.e.\, quasicrystals are characterized with topological indices from
  dimensions higher than their own. I will discuss several 1D quasi-periodi
 c models with nontrivial 1st Chern numbers and topological boundary states
 \, which are inherited from the 2D quantum Hall effect. This topological c
 lassification leads to several interesting physical implications. Last\, I
  will present how this naturally leads to realizing the 4D quantum Hall ef
 fect in the lab.\n \n
LOCATION:Ryle Seminar Room (930) 
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