Fermion sign problem in imaginary-time projection continuum quantum Monte Carlo with local interaction.

We use the shadow wave function formalism as a convenient model to study the fermion sign problem affecting all projector quantum Monte Carlo methods in continuum space. We demonstrate that the efficiency of imaginary-time projection algorithms decays exponentially with increasing number of particles and/or imaginary-time propagation. Moreover, we derive an analytical expression that connects the localization of the system with the magnitude of the sign problem, illustrating this behavior through numerical results. Finally, we discuss the computational complexity of the fermion sign problem and methods for alleviating its severity.

• Publication year

  2016

• Venue

  Physical Review E

• Publication date

  2016-01-07

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/PhysRevE.93.043321arXiv 1601.01558PMID 27176442
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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