Quantum Monte Carlo with Coupled-Cluster wave functions

Abstract

We introduce a novel many body method which combines two powerful many body techniques, viz., quantum Monte Carlo and coupled cluster theory. Coupled cluster wave functions are introduced as importance functions in a Monte Carlo method designed for the configuration interaction framework to provide rigorous upper bounds to the ground state energy. We benchmark our method on the homogeneous electron gas in momentum space. The importance function used is the coupled cluster doubles wave function. We show that the computational resources required in our method scale polynomially with system size. Our energy upper bounds are in very good agreement with previous calculations of similar accuracy, and they can be systematically improved by including higher order excitations in the coupled cluster wave function.

Submitted to Physical Review Letters

References in corpus (3)

• Inhomogeneous backflow transformations in quantum Monte Carlo calculations
• Quantum Monte Carlo Simulations of the BCS-BEC Crossover at Finite Temperature
• Benchmark calculations for 3H, 4He, 16O and 40Ca with ab-initio coupled-cluster theory

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