Released-phase quantum Monte Carlo method

Matthew D. Jones, Gerardo Ortiz, David M. Ceperley

Research output: Contribution to journalArticlepeer-review


The correlation function Monte Carlo method for calculating ground and excited state properties is extended to complex Hamiltonians and used to calculate the spectrum of neutral helium in a wide range of magnetic fields, a system of particular interest in astrophysics. Correlation functions in imaginary time are evaluated for a set of trial functions over a random walk whose dynamics is governed by the imaginary-time Schrodinger equation. Estimates of the exact energy spectrum and other expectations are made by diagorializing the matrix of correlation functions. Using the exact results of this "released-phase" Monte Carlo approach, we assess the accuracy of the fixed-phase quantum Monte Carlo and Hartree-Fock methods for the helium atom in strong magnetic fields.

Original languageEnglish (US)
Pages (from-to)6202-6210
Number of pages9
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number5
StatePublished - 1997

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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