## Search

Now showing items 1-8 of 8

#### Detecting localized eigenstates of linear operators

(2017-11-30)

We describe a way of detecting the location of localized eigenvectors of a linear
system $Ax = \lambda x$ for eigenvalues $\lambda$ with $|\lambda|$ comparatively large.
We define the family of functions $f_{\alpha}: \left\{1.2. ...

#### Solving parametric PDE problems with artificial neural networks

(2017-11-30)

The curse of dimensionality is commonly encountered in numerical partial differential
equations (PDE), especially when uncertainties have to be modeled into the equations
as random coefficients. However, very often ...

#### Riesz Energy on the Torus: Regularity of Minimizers

(2017-11-30)

We study sets of $N$ points on the $d-$dimensional torus $\mathbb{T}^d$ minimizing
interaction functionals of the type \[ \sum_{i, j =1 \atop i \neq j}^{N}{ f(x_i -
x_j)}. \] The main result states that for a class of functions ...

#### A Quantum Kinetic Monte Carlo Method for Quantum Many-body Spin Dynamics

(2017-11-30)

We propose a general framework of quantum kinetic Monte Carlo algorithm, based on
a stochastic representation of a series expansion of the quantum evolution. Two approaches
have been developed in the context of quantum many-body ...

#### Efficient construction of tensor ring representations from sampling

(2017-11-30)

In this note we propose an efficient method to compress a high dimensional function
into a tensor ring format, based on alternating least-squares (ALS). Since the function
has size exponential in $d$ where $d$ is the number ...

#### Accelerated sampling by infinite swapping of path integral molecular dynamics with surface hopping

(2017-11-30)

To accelerate the thermal equilibrium sampling of multi-level quantum systems, the
infinite swapping limit of a recently proposed multi-level ring polymer representation
is investigated. In the infinite swapping limiting, ...

#### A Diabatic Surface Hopping Algorithm based on Time Dependent Perturbation Theory and Semiclassical Analysis

(2017-11-30)

Surface hopping algorithms are popular tools to study dynamics of the quantum-classical
mixed systems. In this paper, we propose a surface hopping algorithm in diabatic representations,
based on time dependent perturbation ...

#### Bold Diagrammatic Monte Carlo in the Lens of Stochastic Iterative Methods

(2017-11-30)

This work aims at understanding of bold diagrammatic Monte Carlo (BDMC) methods for
stochastic summation of Feynman diagrams from the angle of stochastic iterative methods.
The convergence enhancement trick of the BDMC is ...