36 citations · 62 across the 6 of their papers we have counts for
8 papers
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…
A Finite-Volume Scheme for the Continuum Extrapolation of Lattice Step-Scaling in (2+1)D Hamiltonian U(1) Gauge Theory
Alessio Negro, Emil Otis Rosanowski, Lena Funcke +4
We propose a finite-volume scheme to perform controlled continuum extrapolations of the lattice step-scaling function, a key ingredient for determining the running coupling in a Ha…
Scaling and Luescher Term in a non-Abelian (2+1)d SU Quantum Link Model
Paul Ludwig, Timo Jakobs, Carsten Urbach
We investigate a non-Abelian SU quantum link model in dimensions on a hexagonal lattice using tensor network methods. We determine the static quark potential for a wide…
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…
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…
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…