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SUMMARY:Emergent Black Hole Dynamics in Critical Floquet Systems - Prof. D
 r. Titus Neupert\, University of Zurich
DTSTART:20200206T141500Z
DTEND:20200206T151500Z
UID:TALK128719@talks.cam.ac.uk
CONTACT:Katarzyna Macieszczak
DESCRIPTION:While driven interacting quantum matter is generically subject
  to heating and scrambling\, certain classes of systems evade this paradig
 m. I will discuss such an exceptional class in periodically driven critica
 l (1 + 1)-dimensional systems with a spatially modulated\, but disorder-fr
 ee time evolution operator. Instead of complete scrambling\, the excitatio
 ns of the system remain well-defined. Their propagation is analogous to th
 e evolution along light cones in a curved space-time obtained by two Schwa
 rzschild black holes. The Hawking temperature serves as an order parameter
  which distinguishes between heating and non-heating phases. Beyond a time
  scale determined by the inverse Hawking temperature\, excitations are abs
 orbed by the black holes resulting in a singular concentration of energy a
 t their center. I will discuss how these results can be obtained analytica
 lly within conformal field theory and complementary by means of numerical 
 calculations for an interacting XXZ spin-1/2 chain. The latter demonstrate
  that our findings are surprisingly robust and survive lattice regularizat
 ion.
LOCATION:TCM Seminar Room\, Cavendish Laboratory
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