High-order time expansion path integral ground state
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The feasibility of path integral Monte Carlo ground state calculations with very few beads using a high-order short-time Green’s function expansion is discussed. An explicit expression of the evolution operator which provides dramatic enhancements in the quality of ground-state wave functions is examined. The efficiency of the method makes possible to remove the trial wave function and thus obtain completely model-independent results still with a very small number of beads. If a single iteration of the method is used to improve a given model wave function, the result is invariably a shadow-type wave function, whose precise content is provided by the high-order algorithm employed.
CitationRota, R. [et al.]. High-order time expansion path integral ground state. "Physical review E: statistical, nonlinear, and soft matter physics", Gener 2010, vol. 81, núm. 1, p. 6707.