Path integral contour deformations for noisy observables
William Detmold, Gurtej Kanwar, Michael L. Wagman, Neill C. Warrington
Abstract
Monte Carlo studies of many quantum systems face exponentially severe signal-to-noise problems. We show that noise arising from complex phase fluctuations of observables can be reduced without introducing bias using path integral contour deformation techniques. A numerical study of contour deformations for correlation functions in Abelian gauge theory and complex scalar field theory demonstrates that variance can be reduced by orders of magnitude without modifying Monte Carlo sampling.
Topics & Concepts
ObservableMonte Carlo methodPath integral formulationStatistical physicsScalar (mathematics)Noise (video)Gauge theoryMathematicsPhysicsClassical mechanicsMathematical analysisQuantumQuantum mechanicsGeometryComputer scienceStatisticsArtificial intelligenceImage (mathematics)Cosmology and Gravitation TheoriesParticle physics theoretical and experimental studiesTheoretical and Computational Physics