Loop Algorithm for Quantum Transverse Ising Model in a Longitudinal Field

Autor:	Xu, Wei, Zhang, Xue-Feng
Rok vydání:	2024
Předmět:	Condensed Matter - Strongly Correlated Electrons Condensed Matter - Quantum Gases Condensed Matter - Statistical Mechanics Quantum Physics
Druh dokumentu:	Working Paper
Popis:	The quantum transverse Ising model and its extensions play a critical role in various fields, such as statistical physics, quantum magnetism, quantum simulations, and mathematical physics. Although it does not suffer from the sign problem in most cases, the corresponding quantum Monte Carlo algorithm performs inefficiently, especially at a large longitudinal field. The main hindrance is the lack of loop update method which can strongly decrease the auto-correlation between Monte Carlo steps. Here, we successfully develop a loop algorithm with a novel merge-unmerge process. It demonstrates a great advantage over the state-of-the-art algorithm when implementing it to simulate the Rydberg atom chain and Kagome qubit ice. This advanced algorithm suits many systems such as Rydberg atom arrays, trapped ions, quantum materials, and quantum annealers. Comment: 5 pages, 4 figures, comments are welcome and more information at http://cqutp.org/users/xfzhang/
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.17835 Zobrazit plný text záznamu View this record from Arxiv