Reweight-annealing method for evaluating the partition function via quantum Monte Carlo calculations

Abstract

Efficient and accurate algorithm for partition function, free energy and thermal entropy calculations is of great significance in statistical physics and quantum many-body physics. Here we present an unbiased but low-technical-barrier algorithm within the quantum Monte Carlo framework, which has exceptionally high accuracy and no systemic error. Compared with the conventional specific heat integral method and Wang-Landau sampling algorithm, our method can obtain a much more accurate result of the sub-leading coefficient of the entropy. This method can be widely used in both classical and quantum Monte Carlo simulations and is easy to be parallelized on computer.

10 pages, 7 figures

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• Loop Algorithm for Quantum Transverse Ising Model in a Longitudinal Field
• Addressing general measurements in quantum Monte Carlo
• Boundary Renormalization Group Flow of Entanglement Entropy at a (2+1)-Dimensional Quantum Critical Point
• Bell sampling in Quantum Monte Carlo simulations