33 citations · 90 across the 8 of their papers we have counts for
6 papers · 1 filter
Numerical exploration of the bootstrap in spin chain models
David Berenstein, George Hulsey, P. N. Thomas Lloyd
We analyze the bootstrap approach (a dual optimization method to the variational approach) to one-dimensional spin chains, leveraging semidefinite programming to extract numerical…
One-dimensional reflection in the quantum mechanical bootstrap
David Berenstein, George Hulsey
We describe the application of the quantum mechanical bootstrap to the solution of one-dimensional scattering problems. By fixing a boundary and modulating the Robin parameter of t…
A Semidefinite Programming algorithm for the Quantum Mechanical Bootstrap
David Berenstein, George Hulsey
We present a semidefinite program (SDP) algorithm to find eigenvalues of Schrödinger operators within the bootstrap approach to quantum mechanics. The bootstrap approach involves t…
Anomalous Bootstrap on the half line
David Berenstein, George Hulsey
We study carefully the problem of the bootstrap on the half line. We show why one needs the full set of constraints derived from the Stieltjes theorem on the moment problem by reex…
Bootstrapping Simple QM Systems
David Berenstein, George Hulsey
We test the bootstrap approach for determining the spectrum of one dimensional Hamiltonians, following the recent approach of Han, Hartnoll, and Kruthoff. We focus on comparing the…
Bootstrapping More QM Systems
David Berenstein, George Hulsey
We test the bootstrap approach for determining the spectrum of one dimensional Hamiltonians. In this paper we focus on problems that have a two parameter search space in the bootst…