Neural-network quantum state study of the long-range antiferromagnetic Ising chain

arXiv:2308.09709v3 Announce Type: replace-cross
Abstract: We investigate quantum phase transitions in the transverse field Ising chain with algebraically decaying long-range (LR) antiferromagnetic interactions using the variational Monte Carlo method with the restricted Boltzmann machine employed as a trial wave function ansatz. First, we measure the critical exponents and the central charge through the finite-size scaling analysis, verifying the contrasting observations in the previous tensor network studies. The correlation function exponent and the central charge deviate from the short-range (SR) Ising …

abstract arxiv boltzmann cond-mat.quant-gas cond-mat.stat-mech cs.lg function interactions machine network quantum replace state study transitions type