2024/06/08 by Yichen Huang, Huang, Yichen
Engineering · #FOS: Physical sciences #Heat Transfer and Optimization #Quantum Physics (quant-ph) #Radiative Heat Transfer Studies #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el)
paper · pdf · doi:10.48550/arxiv.2406.05399
openalex publication_date 2024/06/08 · openalex created_date 2024/06/12 · openalex updated_date 2026/07/28
To simulate thermalizing systems at long times, the most straightforward approach is to calculate the thermal properties at the corresponding energy. In a quantum many-body system of size N, for local observables and many initial states, this approach has an error of O(1/N), which is reminiscent of the finite-size error of the equivalence of ensembles. In this paper, we propose a simple and efficient numerical method so that the simulation error is of higher order in 1/N. This finite-size error scaling is proved by assuming the eigenstate thermalization hypothesis.