Canonical momenta in digitized Su(2) lattice gauge theory: definition and free theory

Autor: Timo Jakobs, Marco Garofalo, Tobias Hartung, Karl Jansen, Johann Ostmeyer, Dominik Rolfes, Simone Romiti, Carsten Urbach

Publikováno v: European Physical Journal C: Particles and Fields, Vol 83, Iss 7, Pp 1-19 (2023)

Abstract Hamiltonian simulations of quantum systems require a finite-dimensional representation of the operators acting on the Hilbert space $$\mathcal {H}$$ H . Here we give a prescription for gauge links and canonical momenta of an SU(2) gauge theo

Externí odkaz: https://doaj.org/article/8a8cf5db2dfd4835af1a2a5afb6db076

Digitising SU(2) gauge fields and the freezing transition

Autor: Tobias Hartung, Timo Jakobs, Karl Jansen, Johann Ostmeyer, Carsten Urbach

Publikováno v: European Physical Journal C: Particles and Fields, Vol 82, Iss 3, Pp 1-13 (2022)

Abstract 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 group other than U(1), however, there is no class of asympto

Externí odkaz: https://doaj.org/article/7b843e934da74a3c9d310f6947ecb728

Real Time Simulations of Quantum Spin Chains: Density-of-States and Reweighting approaches

Autor: Pavel Buividovich, Johann Ostmeyer

We put the Density-of-States (DoS) approach to Monte-Carlo (MC) simulations under a stress test by applying it to a physical problem with the worst possible sign problem: the real time evolution of a non-integrable quantum spin chain. Benchmarks agai

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b60d003188da01d51c8887090219c129
http://arxiv.org/abs/2209.13970

Mitigating the Hubbard sign problem with complex-valued neural networks

Autor: Marcel Rodekamp, Evan Berkowitz, Christoph Gäntgen, Stefan Krieg, Thomas Luu, Johann Ostmeyer

Publikováno v: Physical review / B 106(12), 125139 (2022). doi:10.1103/PhysRevB.106.125139

Monte Carlo simulations away from half-filling suffer from a sign problem that can be reduced by deforming the contour of integration. Such a transformation, which induces a Jacobian determinant in the Boltzmann weight, can be implemented using neura

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::51a44726652bfcbd335bd746d17865a3
https://hdl.handle.net/2128/32547

The Hubbard model with fermionic tensor networks

Autor: Manuel Schneider, Johann Ostmeyer, Karl Jansen, Thomas Luu, Carsten Urbach

Publikováno v: Proceedings of Science / International School for Advanced Studies (LATTICE2021), 377 (2021). doi:10.22323/1.396.0377
The 38th International Symposium on Lattice Field Theory, LATTICE2021, Zoom/Gather@Massachusetts Institute of Technology, USA, 2021-07-26-2021-07-30
Proceedings of Science / International School for Advanced Studies Lattice2021, 377 (2022). doi:10.22323/1.396.0377
The 38th International Symposium on Lattice Field Theory, Zoom/Gather@Massachusetts Institute of Technology

The 38th International Symposium on Lattice Field Theory, LATTICE2021, Zoom/Gather@Massachusetts Institute of Technology, USA, 26 Jul 2021 - 30 Jul 2021; Proceedings of Science / International School for Advanced Studies (LATTICE2021), 377 (2021). do

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::53451aaa5597c0cd52b82ab3dc6b2e4f