217 citations · 627 across the 18 of their papers we have counts for
18 papers
Stability and complexity of global iterative solvers for the Kadanoff-Baym equations
Jože Gašperlin, Denis Golež, Jason Kaye
Although the Kadanoff-Baym equations are typically solved using time-stepping methods, iterative global-in-time solvers offer potential algorithmic advantages, particularly when co…
Decomposing imaginary time Feynman diagrams using separable basis functions: Anderson impurity model strong coupling expansion
Jason Kaye, Zhen Huang, Hugo U. R. Strand +1
We present a deterministic algorithm for the efficient evaluation of imaginary time diagrams based on the recently introduced discrete Lehmann representation (DLR) of imaginary tim…
Low rank Green's function representations applied to dynamical mean-field theory
Nan Sheng, Alexander Hampel, Sophie Beck +4
Several recent works have introduced highly compact representations of single-particle Green's functions in the imaginary time and Matsubara frequency domains, as well as efficient…
Automatic, high-order, and adaptive algorithms for Brillouin zone integration
Jason Kaye, Sophie Beck, Alex Barnett +2
We present efficient methods for Brillouin zone integration with a non-zero but possibly very small broadening factor , focusing on cases in which downfolded Hamiltonians can be…
Eliminating artificial boundary conditions in time-dependent density functional theory using Fourier contour deformation
Jason Kaye, Alex Barnett, Leslie Greengard +2
We present an efficient method for propagating the time-dependent Kohn-Sham equations in free space, based on the recently introduced Fourier contour deformation (FCD) approach. Fo…
Learning Feynman Diagrams with Tensor Trains
Yuriel Nunez-Fernandez, Matthieu Jeannin, Philipp T. Dumitrescu +4
We use tensor network techniques to obtain high order perturbative diagrammatic expansions for the quantum many-body problem at very high precision. The approach is based on a tens…
Analysis of single-excitation states in quantum optics
Jeremy Hoskins, Jason Kaye, Manas Rachh +1
In this paper we analyze the dynamics of single-excitation states, which model the scattering of a single photon from multiple two level atoms. For short times and weak atom-field…
libdlr: Efficient imaginary time calculations using the discrete Lehmann representation
Jason Kaye, Kun Chen, Hugo U. R. Strand
We introduce libdlr, a library implementing the recently introduced discrete Lehmann representation (DLR) of imaginary time Green's functions. The DLR basis consists of a collectio…
A fast time domain solver for the equilibrium Dyson equation
Jason Kaye, Hugo U. R. Strand
We consider the numerical solution of the real time equilibrium Dyson equation, which is used in calculations of the dynamical properties of quantum many-body systems. We show that…
A fast, high-order numerical method for the simulation of single-excitation states in quantum optics
Jeremy Hoskins, Jason Kaye, Manas Rachh +1
We consider the numerical solution of a nonlocal partial differential equation which models the process of collective spontaneous emission in a two-level atomic system containing a…
Discrete Lehmann representation of imaginary time Green's functions
Jason Kaye, Kun Chen, Olivier Parcollet
We present an efficient basis for imaginary time Green's functions based on a low rank decomposition of the spectral Lehmann representation. The basis functions are simply a set of…
Low rank compression in the numerical solution of the nonequilibrium Dyson equation
Jason Kaye, Denis Golež
We propose a method to improve the computational and memory efficiency of numerical solvers for the nonequilibrium Dyson equation in the Keldysh formalism. It is based on the empir…
A high-order integral equation-based solver for the time-dependent Schrodinger equation
Jason Kaye, Alex Barnett, Leslie Greengard
We introduce a numerical method for the solution of the time-dependent Schrodinger equation with a smooth potential, based on its reformulation as a Volterra integral equation. We…
A fast solver for the narrow capture and narrow escape problems in the sphere
Jason Kaye, Leslie Greengard
We present an efficient method to solve the narrow capture and narrow escape problems for the sphere. The narrow capture problem models the equilibrium behavior of a Brownian parti…
Transparent Boundary Conditions for the Time-Dependent Schrödinger Equation with a Vector Potential
Jason Kaye, Leslie Greengard
We consider the problem of constructing transparent boundary conditions for the time-dependent Schrödinger equation with a compactly supported binding potential and, if desired, a…
Gaussian-Like Immersed Boundary Kernels with Three Continuous Derivatives and Improved Translational Invariance
Yuanxun Bao, Alexander D. Kaiser, Jason Kaye +1
The immersed boundary (IB) method is a general mathematical framework for studying problems involving fluid-structure interactions in which an elastic structure is immersed in a vi…
A posteriori error estimator for adaptive local basis functions to solve Kohn-Sham density functional theory
Jason Kaye, Lin Lin, Chao Yang
Kohn-Sham density functional theory is one of the most widely used electronic structure theories. The recently developed adaptive local basis functions form an accurate and systema…
Fast prediction and evaluation of gravitational waveforms using surrogate models
Scott E. Field, Chad R. Galley, Jan S. Hesthaven +2
[Abridged] We propose a solution to the problem of quickly and accurately predicting gravitational waveforms within any given physical model. The method is relevant for both real-t…