A Quantum Monte Carlo Method at Fixed Energy

Details A Quantum Monte Carlo Method at Fixed Energy A Quantum Monte Carlo Method at Fixed Energy

2009-12-21

arxiv.org/abs/0912.4271v1

Computer Physics Communications, Volume 182, Issue 8, August 2011, Pages 1663-1673

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1016/j.cpc.2011.04.021

In this paper we explore new ways to study the zero temperature limit of quantum statistical mechanics using Quantum Monte Carlo simulations. We develop a Quantum Monte Carlo method in which one fixes the ground state energy as a parameter. The Hamiltonians we consider are of the form $H=H_{0}+\lambda V$ with ground state energy E. For fixed $H_{0}$ and V, one can view E as a function of $\lambda$ whereas we view $\lambda$ as a function of E. We fix E and define a path integral Quantum Monte Carlo method in which a path makes no reference to the times (discrete or continuous) at which transitions occur between states. For fixed E we can determine $\lambda(E)$ and other ground state properties of H.

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