2009/04/07 by Yanier Crespo, Crespo, Yanier, Alessandro Laio +5
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.0904.1172
openalex publication_date 2009/04/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a history-dependent Monte Carlo scheme for the efficient calculation of the free-energy of quantum systems, inspired by the Wang-Landau sampling and metadynamics method. When embedded in a path integral formulation, it is of general applicability to a large variety of Hamiltonians. In the two-dimensional quantum Ising model, chosen here for illustration, the accuracy of free energy, critical temperature, and specific heat is demonstrated as a function of simulation time, and successfully compared with the best available approaches, particularly the Wang-Landau method over two different Monte Carlo procedures.