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Scientific article
Open access
English

Thermalization and chaos in a 1+1d QFT

Published inThe journal of high energy physics, vol. 2023, 145
Publication date2023
First online date2023-02-03
Abstract

We study aspects of chaos and thermodynamics at strong coupling in a scalar model using LCT numerical methods. We find that our eigenstate spectrum satisfies Wigner-Dyson statistics and that the coefficients describing eigenstates in our basis satisfy Random Matrix Theory (RMT) statistics. At weak coupling, though the bulk of states satisfy RMT statistics, we find several scar states as well. We then use these chaotic states to compute the equation of state of the model, obtaining results consistent with Conformal Field Theory (CFT) expectations at temperatures above the scale of relevant interactions. We also test the Eigenstate Thermalization Hypothesis by computing the expectation value of local operators in eigenstates, and check that their behavior is consistent with thermal CFT values at high temperatures. Finally, we compute the Spectral Form Factor (SFF), which has the expected behavior associated with the equation of state at short times and chaos at long times. We also propose a new technique for extracting the connected part of the SFF without the need of disorder averaging by using different symmetry sectors.

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Keywords
  • Non-Equilibrium Field Theory
  • Quantum Dissipative Systems
  • Thermal Field Theory
  • Field Theory Hydrodynamics
  • Field theory: conformal
  • Matrix model: random
  • Operator: local
  • Temperature: high
  • Model: scalar
  • Chaos
  • Statistics
  • Equation of state
  • Spectral
  • Weak coupling
  • Thermodynamics
  • Field theory: thermal
  • Numerical methods
  • Dimension: 2
  • Form factor
  • Strong coupling
Citation (ISO format)
DELACRETAZ, Luca V. et al. Thermalization and chaos in a 1+1d QFT. In: The journal of high energy physics, 2023, vol. 2023, p. 145. doi: 10.1007/jhep02(2023)045
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ISSN of the journal1029-8479
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