Reptation Quantum Monte Carlo

Details Reptation Quantum Monte Carlo Reptation Quantum Monte Carlo

1998-08-19

arxiv.org/abs/cond-mat/9808213v1

Physics

Condensed Matter

29 pages, 6 figures; Proceedings of the NATO ASI Quantum Monte Carlo Methods in Physics and Chemistry, Cornell University, Jul

Scientific paper

We present an elementary and self-contained account of the analogies existing between classical diffusion and the imaginary-time evolution of quantum systems. These analogies are used to develop a new quantum simulation method which allows to calculate the ground-state expectation values of local observables without any mixed estimates nor population-control bias, as well as static and dynamic (in imaginary time) response functions. This method, which we name Reptation Quantum Monte Carlo, is demonstrated with a few case applications to 4He, including the calculation of total and potential energies, static and imaginary-time dependent density response functions, and low-lying excitation energies. Finally, we discuss the relations of our technique with other simulation schemes.

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