Bulletin of the American Physical Society
APS March Meeting 2018
Monday–Friday, March 5–9, 2018; Los Angeles, California
Session A45: Helium 3 and Electron Hydrodynamics
8:00 AM–11:00 AM,
Monday, March 5, 2018
LACC Room: 505
Sponsoring Unit: DCMP
Chair: Johannes Pollanen, Michigan State Univ
Abstract: A45.00010 : Many-body chaos in a conformal gauge theory*
9:48 AM–10:00 AM
(University of Maryland)
The onset of many-body quantum chaos in fermionic systems can be diagnosed from the growth of initally anticommuting fermion field operators. We compute such anti-commutators of fermion field operators in (2 + 1)d U (1) gauge theory with Nf flavors of fermions to leading order in 1/Nf . For large enough Nf , this is an interacting conformal field theory and describes the low energy properties of the Dirac spin liquid. The anticommutator grows exponentially in time with a rate defined by the Lyapunov exponent λL and grows ballistically in space at a speed identified as the “butterfly velocity” vB. The scaling with temperature is fixed by conformal invariance. We briefly comment on the growth of local current operators and the breakdown of the large Nf expansion.
*JS is supported by the National Science Foundation Graduate Research Fellowship under Grant No. DGE1144152. BGS acknowledges support from the Simons Foundation as part of the It From Qubit Collaboration.
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