Random product states at high temperature equilibrate exponentially well
Statistical Mechanics
2024-09-16 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
We prove that for all but a measure zero set of local Hamiltonians, starting from random product states at sufficiently high but finite temperature, with overwhelming probability expectation values of observables equilibrate such that at sufficiently long times, fluctuations around the stationary value are exponentially small in the system size.
Keywords
Cite
@article{arxiv.2409.08436,
title = {Random product states at high temperature equilibrate exponentially well},
author = {Yichen Huang},
journal= {arXiv preprint arXiv:2409.08436},
year = {2024}
}