Precise determination of lattice phase shifts and mixing angles

Abstract

We introduce a general and accurate method for determining lattice phase shifts and mixing angles, which is applicable to arbitrary, non-cubic lattices. Our method combines angular momentum projection, spherical wall boundaries and an adjustable auxiliary potential. This allows us to construct radial lattice wave functions and to determine phase shifts at arbitrary energies. For coupled partial waves, we use a complex-valued auxiliary potential that breaks time-reversal invariance. We benchmark our method using a system of two spin-1/2 particles interacting through a finite-range potential with a strong tensor component. We are able to extract phase shifts and mixing angles for all angular momenta and energies, with precision greater than that of extant methods. We discuss a wide range of applications from nuclear lattice simulations to optical lattice experiments.

7 pp, 4 figs, 1 table

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• Ab initio alpha-alpha scattering
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• Quantum Monte Carlo Calculations for Carbon Nanotubes
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Cited by in corpus (25)

• Baryons as relativistic three-quark bound states
• Microscopic Clustering in Light Nuclei
• Ab initio alpha-alpha scattering
• Nuclear binding near a quantum phase transition
• Essential elements for nuclear binding
• Perturbative quantum Monte Carlo method for nuclear physics
• Neutron-proton scattering with lattice chiral effective field theory at next-to-next-to-next-to-leading order
• Neutron-proton scattering at next-to-next-to-leading order in Nuclear Lattice Effective Field Theory
• The Tjon Band in Nuclear Lattice Effective Field Theory
• Galilean invariance restoration on the lattice
• Alpha-alpha scattering in the Multiverse
• Lattice Effective Field Theory Simulations of Nuclei
• Ab Initio Simulations of Light Nuclear Systems Using Eigenvector Continuation and Auxiliary Field Monte Carlo
• Scattering phase shifts and mixing angles for an arbitrary number of coupled channels on the lattice
• Perturbative quantum Monte Carlo calculation with high-fidelity nuclear forces
• Quantum Many-Body Calculations using Body-Centered Cubic Lattices
• Lattice methods and the nuclear few- and many-body problem
• Adiabatic projection method with Euclidean time subspace projection
• Charge-dependent nucleon-nucleon interaction at N${}^3$LO in nuclear lattice effective field theory
• Investigating nuclear beta decay using lattice quantum Monte Carlo approach
• Renormalization of a Contact Interaction on a Lattice
• Scattering using real-time path integrals
• Clustering in nuclei from ab initio nuclear lattice simulations
• Chiral Effective Field Theory after Thirty Years: Nuclear Lattice Simulations
• Two particles interacting via a contact interaction on $S^2$