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Thermalization and chaos in a 1+1d QFT

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arxiv 2207.11261 v2 pith:M7U6GDFG submitted 2022-07-22 hep-th cond-mat.stat-mechcond-mat.str-el

Thermalization and chaos in a 1+1d QFT

Luca V. Delacretaz , A. Liam Fitzpatrick , Emanuel Katz , Matthew T. Walters This is my paper
classification hep-th cond-mat.stat-mechcond-mat.str-el
keywords chaosstatesstatisticsbehaviorcomputeconsistentcouplingeigenstate
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 4 Pith papers

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  1. Local Thermalization of SU(2) Lattice Gauge Fields on Quantum Computers

    hep-lat 2026-03 unverdicted novelty 7.0

    Quantum hardware simulation of SU(2) lattice gauge thermalization matches classical extrapolations up to 101 plaquettes after error mitigation, establishing feasibility for chaotic quantum field systems.

  2. Local Thermalization of SU(2) Lattice Gauge Fields on Quantum Computers

    hep-lat 2026-03 conditional novelty 6.0

    Error-mitigated IBM quantum hardware reproduces extrapolated classical simulations of entanglement growth and local thermalization for a truncated SU(2) gauge theory on chains up to 101 plaquettes.

  3. Random matrix theory signatures in free field theory

    hep-th 2025-07 unverdicted novelty 6.0

    In finite-volume massive free scalar field theory after local quench, spacing ratios of two-point function extrema follow GOE statistics and an extrema-based form factor shows RMT dip-ramp-plateau.

  4. Multi-dimensional chaos I: Classical and quantum mechanics

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    Peak positions in two-dimensional erratic scattering functions carry statistical repulsion signatures—COE for asymmetric pinball S-matrices, β-ensemble-like for the random-charge model—that can diagnose multi-dimensio...