Quantum Monte Carlo algorithm for arbitrary spin-1/2 Hamiltonians
Abstract
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.
- Publication:
-
Physical Review Research
- Pub Date:
- March 2024
- DOI:
- 10.1103/PhysRevResearch.6.013281
- arXiv:
- arXiv:2307.06503
- Bibcode:
- 2024PhRvR...6a3281B
- Keywords:
-
- Physics - Computational Physics;
- Condensed Matter - Other Condensed Matter;
- Quantum Physics
- E-Print:
- 18 pages, 8 figures