Volume extrapolation via eigenvector continuation

Abstract

We develop an extension of eigenvector continuation (EC) that makes it possible to extrapolate simulations of quantum systems in finite periodic boxes across large ranges of box sizes. The formal justification for this approach, which we call finite-volume eigenvector continuation (FVEC), is provided by matching periodic functions at different box sizes. As concrete FVEC implementation we use a discrete variable representation based on plane-wave states and present several applications calculated within this framework.

arXiv comment7 pages, 4 figures, published version

References in corpus (47)

• Resonance Scattering Phase Shifts on a Non-Rest Frame Lattice
• Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude
• Three particles in a finite volume
• Three-particle scattering amplitudes from a finite volume formalism
• Three particle quantization condition in a finite volume: 2. general formalism and the analysis of data
• Three-body Unitarity in the Finite Volume
• Three-particle quantization condition in a finite volume: 1. The role of the three-particle force
• Eigenvector continuation with subspace learning
• Three-body spectrum in a finite volume: the role of cubic symmetry
• Global sensitivity analysis of bulk properties of an atomic nucleus
• Eigenvector Continuation as an Efficient and Accurate Emulator for Uncertainty Quantification
• Universal properties of infrared oscillator basis extrapolations
• Spectrum of three-body bound states in a finite volume
• Three pion spectrum in the $I=3$ channel from lattice QCD
• Generalizing the relativistic quantization condition to include all three-pion isospin channels
• Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states
• The triton in a finite volume
• Is a Trineutron Resonance Lower in Energy than a Tetraneutron Resonance?
• Infrared length scale and extrapolations for the no-core shell model
• Energy shift of the three-particle system in a finite volume
• Unitarity of the infinite-volume three-particle scattering amplitude arising from a finite-volume formalism
• Three particles in a finite volume: The breakdown of spherical symmetry
• Efficient emulators for scattering using eigenvector continuation
• Volume Dependence of N-Body Bound States
• Systematic expansion for infrared oscillator basis extrapolations
• Use of the Discrete Variable Representation Basis in Nuclear Physics
• Improved many-body expansions from eigenvector continuation
• Signatures of few-body resonances in finite volume
• Toward emulating nuclear reactions using eigenvector continuation
• Ultraviolet extrapolations in finite oscillator bases
• Volume Dependence of Bound States with Angular Momentum
• Relativistic-invariant formulation of the NREFT three-particle quantization condition
• Infrared extrapolations for atomic nuclei
• Fast & accurate emulation of two-body scattering observables without wave functions
• Non-relativistic bound states in a finite volume
• Convergence of Eigenvector Continuation
• Fast emulation of quantum three-body scattering
• Generalizing the calculable $R$-matrix theory and eigenvector continuation to the incoming wave boundary condition
• Bogoliubov many-body perturbation theory under constraint
• Few-nucleon matrix elements in pionless effective field theory in a finite volume
• Calculation of three-body resonances using slow-variable discretization coupled with complex absorbing potential
• Self-learning Emulators and Eigenvector Continuation
• Excited states from eigenvector continuation: the anharmonic oscillator
• A Comprehensive Study of the Three- and Four-Neutron Systems at Low Energies
• Few-body bound states and resonances in finite volume
• Three-body resonances in pionless effective field theory
• Study of three-neutron bound and continuum states

Cited by in corpus (7)

• Eigenvector Continuation and Projection-Based Emulators
• Reduced basis emulation of pairing in finite systems
• Quantum Eigenvector Continuation for Chemistry Applications
• Complex scaling in finite volume
• Efficient few-body calculations in finite volume
• Cheaper and more noise-resilient quantum state preparation using eigenvector continuation
• Efficient emulation of nuclear ground states with neural-network variational Monte Carlo and eigenvector continuation