1998/08/19 by S. Baroni, Stefano Baroni, Baroni, S. +3 · 1 citation
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Condensed Matter (cond-mat) #FOS: Physical sciences #Quantum, superfluid, helium dynamics #cond-mat
paper · pdf · doi:10.48550/arxiv.cond-mat/9808213
29 pages, 6 figures; Proceedings of the NATO ASI Quantum Monte Carlo Methods in Physics and Chemistry, Cornell University, July, 12-25, 1998
arxiv created 1998/08/19 · openalex publication_date 1998/08/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.