A quantum Monte Carlo algorithm for arbitrary spin-1/2 Hamiltonians

Autor:	Barash, Lev, Babakhani, Arman, Hen, Itay
Rok vydání:	2023
Předmět:	Physics - Computational Physics Condensed Matter - Other Condensed Matter Quantum Physics
Zdroj:	Phys. Rev. Research 6, 013281 (2024)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevResearch.6.013281
Popis:	We present a universal parameter-free quantum Monte Carlo (QMC) algorithm designed to simulate arbitrary spin-$1/2$ Hamiltonians. To ensure the convergence of the Markov chain to equilibrium for every conceivable case, we devise a clear and simple automated protocol that produces QMC updates that are provably ergodic and satisfy detailed balance. We demonstrate the applicability and versatility of our method by considering several illustrative examples, including the simulation of the XY model on a triangular lattice, the toric code, and random $k$-local Hamiltonians. We have made our program code freely accessible on GitHub. Comment: 18 pages, 8 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.06503 Zobrazit plný text záznamu View this record from Arxiv