Spectral gap of 1D quantum Gibbs samplers

Anthony Chen (Oratomic) https://simons.berkeley.edu/talks/anthony-chen-oratomic-2026-09-23 Local to Global Principles Recently, quantum analogs of classical Gibbs samplers have been introduced—quantum Markov chains that generalize Glauber or Metropolis dynamics, and serve as models of nature’s thermalization process. In this work, we show that every one-dimensional quantum Hamiltonian with short-range interactions admits a quantum Gibbs sampler with a system-size–independent, optimal spectral gap at all finite temperatures.