Thermalization and chaos in a 1+1d QFT

Understand

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.