Wang-Landau sampling for quantum systems: algorithms to overcome tunneling problems and calculate the free energy

Preprint

9 December 2002

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0207138

Abstract

We present a generalization of the classical Wang-Landau algorithm [Phys. Rev. Lett. 86, 2050 (2001)] to quantum systems. The algorithm proceeds by stochastically evaluating the coefficients of a high temperature series expansion or a finite temperature perturbation expansion to arbitrary order. Similar to their classical counterpart, the algorithms are efficient at thermal and quantum phase transitions, greatly reducing the tunneling problem at first order phase transitions, and allow the direct calculation of the free energy and entropy.

Keywords

TUNNELING PROBLEMS
OVERCOME TUNNELING
PHASE TRANSITIONS
QUANTUM SYSTEMS
LANDAU SAMPLING
STOCHASTICALLY
WANG LANDAU
ALGORITHMS

All Related Versions

Version 1, 2002-07-04, ArXiv
Version 2, 2002-07-11, ArXiv
Version 3, 2002-12-09, ArXiv
Published version: Physical Review Letters, 90 (12), 120201.

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