50 citations · 344 across the 40 of their papers we have counts for
44 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…
Suzuki-Trotter Decompositions and other Methods for Quantum Time Evolution
Johann Ostmeyer
(Suzuki-)Trotter decompositions, splitting methods, (Lie) product formulae... The most common numerical methods for the time evolution of quantum systems come with many names. And…
Stable and Efficient Algorithms for the Fermion Determinant
Johann Ostmeyer
Some algorithms for the numerically exact treatment of fermion determinants are summarised. This is not supposed to be a review, rather a concise handbook. The audience is expected…
Stable Determinant Monte Carlo Simulations at Large Inverse Temperature
Thomas Luu, Johann Ostmeyer, Petar Sinilkov +1
At low temperatures where the naïve implementation of determinant quantum Monte Carlo (DQMC) methods suffers from loss of precision and numerical instabilities when…
Hamiltonian Monte Carlo enhanced by Exact Diagonalization
Finn L. Temmen, Martina Gisti, David J. Luitz +2
Strongly correlated fermionic systems are of great interest in condensed matter physics and numerical methods are indispensable tools for their study. However, existing approaches…
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…
Efficient Trotter-Suzuki Schemes for Long-time Quantum Dynamics
Marko Maležič, Johann Ostmeyer
Accurately simulating long-time dynamics of many-body systems is a challenge in both classical and quantum computing due to the accumulation of Trotter errors. While low-order Trot…
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…
Fully ergodic simulations using radial updates
Finn L. Temmen, Evan Berkowitz, Anthony Kennedy +3
A sensible application of the Hybrid Monte Carlo (HMC) method is often hindered by the presence of large - or even infinite - potential barriers. These potential barriers separate…
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…
Exponential speed up in Monte Carlo sampling through Radial Updates
Johann Ostmeyer
Recently, it has been shown that the hybrid Monte Carlo (HMC) algorithm is guaranteed to converge exponentially to a given target probability distribution o…
Overcoming Ergodicity Problems of the Hybrid Monte Carlo Method using Radial Updates
Finn Temmen, Evan Berkowitz, Anthony Kennedy +3
Despite its many advantages, the sensible application of the Hybrid Monte Carlo (HMC) method is often hindered by the presence of large - or even infinite - potential barriers. The…
Reducing the Sign Problem with simple Contour Deformation
Christoph Gäntgen, Evan Berkowitz, Thomas Luu +2
We apply constant imaginary offsets to the path integral for a reduction of the sign problem in the Hubbard model. These simple transformations enhance the quality of results from…
Single Particle Spectrum of Doped -Perylene
Marcel Rodekamp, Evan Berkowitz, Christoph Gäntgen +4
We present a Hamiltonian Monte Carlo study of doped perylene described with the Hubbard model. Doped perylene can be used for organic light-emittin…
An Effective Theory for Graphene Nanoribbons with Junctions
Johann Ostmeyer, Lado Razmadze, Evan Berkowitz +2
Graphene nanoribbons are a promising candidate for fault-tolerant quantum electronics. In this scenario, qubits are realised by localised states that can emerge on junctions in hyb…
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…
Simple Ways to improve Discrete Time Evolution
Johann Ostmeyer
Suzuki-Trotter decompositions of exponential operators like are required in almost every branch of numerical physics. Often the exponent under consideration has to be sp…
Fermionic Sign Problem Minimization by Constant Path Integral Contour Shifts
Christoph Gäntgen, Evan Berkowitz, Thomas Luu +2
The path integral formulation of quantum mechanical problems including fermions is often affected by a severe numerical sign problem. We show how such a sign problem can be allevia…
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…