Thermalization and chaos in a 1+1d QFT
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Publication:6045607
DOI10.1007/JHEP02(2023)045arXiv2207.11261OpenAlexW4319264191MaRDI QIDQ6045607
Author name not available (Why is that?)
Publication date: 12 May 2023
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/2207.11261
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