6533b854fe1ef96bd12af54d
RESEARCH PRODUCT
Fermion sign problem in imaginary-time projection continuum quantum Monte Carlo with local interaction
Markus HolzmannFrancesco Calcavecchiasubject
Computational complexity theoryQuantum Monte CarloFOS: Physical sciences02 engineering and technology01 natural scienceslaw.inventionCondensed Matter - Strongly Correlated ElectronslawPhysics - Chemical Physics0103 physical sciencesStatistical physics010306 general physicsWave functionProjection algorithmsChemical Physics (physics.chem-ph)Numerical sign problemPhysicsStrongly Correlated Electrons (cond-mat.str-el)FermionComputational Physics (physics.comp-ph)021001 nanoscience & nanotechnologyImaginary timeCondensed Matter - Other Condensed MatterClassical mechanicsProjector0210 nano-technologyPhysics - Computational PhysicsOther Condensed Matter (cond-mat.other)description
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 prediction through some numerical results. Finally, we discuss the fermion sign problem computational complexity and methods for alleviating its severity.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-01-07 | Physical Review E |