Affiliation:
1. Munich Center for Quantum Science and Technology
2. Technical University of Munich
Abstract
We study many-body chaos in a (2+1)D relativistic scalar field theory
at high temperatures in the classical statistical approximation, which
captures the quantum critical regime and the thermal phase transition
from an ordered to a disordered phase. We evaluate out-of-time ordered
correlation functions (OTOCs) and find that the associated Lyapunov
exponent increases linearly with temperature in the quantum critical
regime, and approaches the non-interacting limit algebraically in terms
of a fluctuation parameter. OTOCs spread ballistically in all regimes,
also at the thermal phase transition, where the butterfly velocity is
maximal. Our work contributes to the understanding of the relation
between quantum and classical many-body chaos and our method can be
applied to other field theories dominated by classical modes at long
wavelengths.
Funder
Deutsche Forschungsgemeinschaft
FP7 People: Marie-Curie Actions
Max Planck Society
Subject
General Physics and Astronomy
Cited by
7 articles.
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