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CATEGORIES:Theory of Condensed Matter
SUMMARY:Thermalization vs localization in a solvable circu
it model - Anushya Chandran\, Perimeter Institute
DTSTART;TZID=Europe/London:20150814T140000
DTEND;TZID=Europe/London:20150814T150000
UID:TALK60358AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/60358
DESCRIPTION:Isolated quantum dynamics need not lead to local t
hermal equilibrium in the presence of sufficient q
uenched disorder. This many-body localized phase i
s not described by equilibrium statistical mechani
cs. At lower disorder however\, the system transit
ions into a conventional thermal phase. Very littl
e is known about the dynamical transition between
the two phases\, especially in spatial dimensions
greater than one. In this talk\, I will introduce
a simple circuit model for the localization-deloca
lization dynamical transition in the absence of gl
obal symmetries. The tractability of the model ari
ses from the restriction of the gates in the circu
it to Clifford gates. In d=1\, the resulting dynam
ics are always many-body localized with a complete
set of strictly local integrals of motion. In d>=
2\, the system realizes both localized and delocal
ized phases separated by a continuous transition i
n which ergodic puddles percolate. I will argue th
at the phases are stable to small deformations of
the circuits\, estimate the resulting phase bounda
ry and conjecture bounds on the critical exponents
for the generic transition. The Clifford circuit
model is a distinct tractable limit from that of f
ree fermions and is a toy dynamical system to test
thermalization in.
LOCATION:TCM Seminar Room\, Cavendish Laboratory
CONTACT:Gareth Conduit
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