A quantum Monte Carlo algorithm to calculate the free energy of a quantum system

  • 11 July 2002
Abstract
We present a quantum Monte Carlo algorithm for the calculation of the free energy and entropy of discrete quantum lattice models. 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 its classical counterpart, the Wang-Landau method [Phys. Rev. Lett. 86, 2050 (2001)], the algorithm is efficient at thermal as well as quantum phase transitions since it creates a flat histogram, albeit in the orders of the expansion instead of in energy space.

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