50 citations · 344 across the 40 of their papers we have counts for
15 papers · 1 filter
No-go theorems for dual Hamiltonians of Non-Abelian Lattice Gauge Theories
Marco Garofalo, Tobias Hartung, Timo Jakobs +3
Hamiltonian simulations of lattice gauge theories promise new insights into the inner workings of QCD. The rapid development of quantum computing hardware suggests that large scale…
Lattice Field Theory Analysis of the Chiral Heisenberg Model
Simon Hands, Johann Ostmeyer
Motivated by ongoing interest in the universal behaviour of the Hubbard model of spinning electrons on honeycomb and -flux lattices at the semi-metal -- Mott insulator phase tra…
Reducing the Gate Count with Efficient Trotter-Suzuki Schemes
Marko Maležič, Johann Ostmeyer
Hamiltonian formulations of lattice field theories provide access to real-time dynamics, but their simulation is difficult to implement efficiently. Trotter-Suzuki decompositions a…
The Truncated Hankel Correlator Method
Johann Ostmeyer, Carsten Urbach
We introduce a new method to approximate Euclidean correlation functions by exponential sums. The Truncated Hankel Correlator (THC) method builds a Hankel matrix from the full corr…
A Comprehensive Stress Test of Truncated Hilbert Space Bases against Green's function Monte Carlo in U(1) Lattice Gauge Theory
Timo Jakobs, Marco Garofalo, Tobias Hartung +5
A representation of Lattice Gauge Theories (LGT) suitable for simulations with tensor network state methods or with quantum computers requires a truncation of the Hilbert space to…
Dynamics in Hamiltonian Lattice Gauge Theory: Approaching the Continuum Limit with Partitionings of SU
Timo Jakobs, Marco Garofalo, Tobias Hartung +4
In this paper, we investigate a digitised SU lattice gauge theory in the Hamiltonian formalism. We use partitionings to digitise the gauge degrees of freedom and show how to d…
The Physicist's Guide to the HMC
Johann Ostmeyer
The hybrid Monte Carlo (HMC) algorithm is arguably the most efficient sampling method for general probability distributions of continuous variables. Together with exact Fourier acc…
On the equivalence of Prony and Lanczos methods for Euclidean correlation functions
Johann Ostmeyer, Aniket Sen, Carsten Urbach
We investigate the oblique Lanczos method recently put forward in arXiv:2406.20009 for analysing Euclidean correlators in lattice field theories and show that it is analytically eq…
Testing the lattice Hamiltonian built from partitionings
Marco Garofalo, Tobias Hartung, Timo Jakobs +5
We test a possible digitization of lattice gauge theories based on partitionings of the sphere . In our construction the link operators are unitary and diagon…
Canonical Momenta in Digitized SU(2) Lattice Gauge Theory: Definition and Free Theory
Timo Jakobs, Marco Garofalo, Tobias Hartung +5
Hamiltonian simulations of quantum systems require a finite-dimensional representation of the operators acting on the Hilbert space H. Here we give a prescription for gauge links a…
Digitizing SU(2) Gauge Fields and What to Look Out for When Doing So
Tobias Hartung, Timo Jakobs, Karl Jansen +2
With the long term perspective of using quantum computers and tensor networks for lattice gauge theory simulations, an efficient method of digitizing gauge group elements is needed…
Spectroscopy in the 2+1 Thirring Model with Domain Wall Fermions
Simon Hands, Johann Ostmeyer
We employ the domain wall fermion (DWF) formulation of the Thirring model on a lattice in 2+1+1 dimensions and perform flavor Monte Carlo simulations. At a critical interacti…
Defining Canonical Momenta for Discretised SU(2) Gauge Fields
Marco Garofalo, Tobias Hartung, Karl Jansen +3
In this proceeding contribution we discuss how to define canonical momenta for SU(N) lattice gauge theories in the Hamiltonian formalism in a basis where the gauge field operators…
Digitising SU(2) Gauge Fields and the Freezing Transition
Tobias Hartung, Timo Jakobs, Karl Jansen +2
Efficient discretisations of gauge groups are crucial with the long term perspective of using tensor networks or quantum computers for lattice gauge theory simulations. For any Lie…
On the generalised eigenvalue method and its relation to Prony and generalised pencil of function methods
Matthias Fischer, Bartosz Kostrzewa, Johann Ostmeyer +3
We discuss the relation of three methods to determine energy levels in lattice QCD simulations: the generalised eigenvalue, the Prony and the generalised pencil of function methods…