Many-body chaos near a thermal phase transition
| Autor: | Michael Knap, Alexander Schuckert |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
High Energy Physics - Theory
Phase transition Work (thermodynamics) Scalar field theory Field (physics) Phase (waves) General Physics and Astronomy FOS: Physical sciences Lyapunov exponent 01 natural sciences symbols.namesake Quantum mechanics 0103 physical sciences Thermal 010306 general physics Quantum Condensed Matter - Statistical Mechanics Physics Quantum Physics Statistical Mechanics (cond-mat.stat-mech) 010308 nuclear & particles physics Nonlinear Sciences - Chaotic Dynamics lcsh:QC1-999 ddc High Energy Physics - Theory (hep-th) symbols Chaotic Dynamics (nlin.CD) Quantum Physics (quant-ph) lcsh:Physics |
| Zdroj: | SciPost Physics, Vol 7, Iss 2, p 022 (2019) |
| ISSN: | 2542-4653 |
| Popis: | 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. Resubmission to SciPost |
| Databáze: | OpenAIRE |
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