2017/10/20 by Ian G. White, White, Ian G., Bhuvanesh Sundar +3
Economics, Econometrics and Finance · Physics and Astronomy · #Atomic Physics (physics.atom-ph) #Complex Systems and Time Series Analysis #FOS: Physical sciences #Opinion Dynamics and Social Influence #Quantum Gases (cond-mat.quant-gas) #Quantum Physics (quant-ph) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1710.07696
openalex publication_date 2017/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We demonstrate that a numerical linked cluster expansion method is a powerful tool to calculate quantum dynamics. We calculate the dynamics of the magnetization and spin correlations in the two-dimensional transverse field Ising and XXZ models evolved from a product state. Such dynamics are directly probed in ongoing experiments in ultracold atoms, molecules, and ions. We show that a numerical linked cluster expansion gives dramatically more accurate results at short-to-moderate times than exact diagonalization, and simultaneously requires fewer computational resources. More specifically, the cluster expansion frequently produces more accurate results than an exact diagonalization calculation that would require 105--1010 more computational operations and memory.