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SUMMARY:Quantum mechanical perspective on dynamical glass transitions - Dr
  Claudio Castelnovo\, Royal Holloway University of London
DTSTART:20111103T141500Z
DTEND:20111103T151500Z
UID:TALK34320@talks.cam.ac.uk
CONTACT:Joe Bhaseen
DESCRIPTION:Using the mapping of a Fokker-Planck description of classical 
 stochastic dynamics into a quantum Hamiltonian\, we argue that a classical
  dynamical glass transition must have a precise definition in terms of a q
 uantum phase transition. At the static level\, the transition affects the 
 ground state wavefunction: while in some cases it could be picked up by th
 e expectation value of a local operator\, in others the order may be non-l
 ocal\, and impossible to be determined with any local probe. In general\, 
 even in the absence of a local order parameter\, the transition can be det
 ected via the quantum fidelity of the ground state wavefunction\, which we
  show translates directly into a singularity in the heat capacity of the c
 lassical system. The entanglement entropy is another probe that can detect
  exotic quantum phase transitions\, even those without local order paramet
 ers. We show that the von Neumann entropy in these quantum models has a cl
 ear correspondence with thermodynamic properties of subsystems of the clas
 sical system.
LOCATION:TCM Seminar Room\, Cavendish Laboratory
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