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In this work, we present a brief but insightful overview of the gauge theories, which are defined on $ n $-dimensional lattices by using finite gauge groups, in order to show how they can be interpreted as a Hamiltonian system with…

High Energy Physics - Lattice · Physics 2023-06-13 M. F. Araujo de Resende

Cold atoms have become a powerful platform for quantum-simulating lattice gauge theories in higher spatial dimensions. However, such realizations have been restricted to the lowest possible truncations of the gauge field, which limit the…

Lattice gauge theories, which originated from particle physics in the context of Quantum Chromodynamics (QCD), provide an important intellectual stimulus to further develop quantum information technologies. While one long-term goal is the…

We present results of numerical simulations for pure U(1) gauge theory in a non-commutative space. The theory is mapped onto a dimensionally reduced matrix model, which renders its numerical treatment feasible. New data on large lattices…

High Energy Physics - Lattice · Physics 2007-05-23 J. Volkholz , W. Bietenholz , J. Nishimura , Y. Susaki

When analysing a system consisting of both dark matter and dark energy, an often used practice in the literature is to neglect the perturbations in the dark energy component. However, it has recently been argued, through the use of…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-21 Adam J. Christopherson

Numerical simulation of lattice gauge theories is an indispensable tool in high energy physics, and their quantum simulation is expected to become a major application of quantum computers in the future. In this work, for an Abelian lattice…

Quantum Physics · Physics 2023-05-24 Hiroki Sukeno , Takuya Okuda

Lattice gauge theories are fundamental to such distinct fields as particle physics, condensed matter or quantum information theory. The recent progress in the control of artificial quantum systems already allows for studying Abelian lattice…

Quantum Physics · Physics 2021-06-30 Valentin Kasper , Torsten V. Zache , Fred Jendrzejewski , Maciej Lewenstein , Erez Zohar

The Hamiltonian formulation of lattice gauge theories plays a central role in quantum simulations of gauge theories, and understanding their spectrum and other properties is expected to become crucial in the upcoming years. The relevant…

High Energy Physics - Lattice · Physics 2026-04-20 Thea Budde , Marina Kristć Marinković , Joao C. Pinto Barros

Symplectic gauge theories coupled to matter fields lead to symmetry enhancement phenomena that have potential applications in such diverse contexts as composite Higgs, top partial compositeness, strongly interacting dark matter, and…

It is shown that under reasonable assumptions a Drake-style equation can be obtained for the probability that our universe is the result of a deliberate simulation. Evaluating loose bounds for certain terms in the equation shows that the…

Popular Physics · Physics 2021-03-23 Alexandre Bibeau-Delisle , Gilles Brassard

The magnetic fields generated in non-central heavy-ion collisions are among the strongest fields produced in the Universe, reaching magnitudes comparable to the scale of the strong interactions. Backed by model simulations, the resulting…

High Energy Physics - Lattice · Physics 2021-11-29 B. B. Brandt , F. Cuteri , G. Endrődi , G. Markó , A. D. M. Valois

Quantum simulation provides quantum systems under study with analogous controllable quantum systems and has wide applications from condensed-matter physics to high energy physics and to cosmology. The quantum system of a homogeneous and…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Sang Pyo Kim

Lattice gauge theories are fundamental to our understanding of high-energy physics. Nevertheless, the search for suitable platforms for their quantum simulation has proven difficult. We show that the Abelian Higgs model in 1+1 dimensions is…

High Energy Physics - Lattice · Physics 2018-12-05 Jin Zhang , J. Unmuth-Yockey , J. Zeiher , A. Bazavov , S. -W. Tsai , Y. Meurice

Hamiltonian formulation of lattice gauge theories (LGTs) is the most natural framework for the purpose of quantum simulation, an area of research that is growing with advances in quantum-computing algorithms and hardware. It, therefore,…

High Energy Physics - Lattice · Physics 2021-10-13 Zohreh Davoudi , Indrakshi Raychowdhury , Andrew Shaw

The calculation on the lattice of cross--sections, form--factors and decay rates associated to phenomenologically relevant physical processes is complicated by the spatial momenta quantization rule arising from the introduction of limited…

High Energy Physics - Lattice · Physics 2009-11-10 Nazario Tantalo

Common features of known quantum gravity theories may hint at the general nature of quantum gravity. The absence of continuous global symmetries is one such feature. This inspired the Weak Gravity Conjecture, which bounds masses of charged…

High Energy Physics - Theory · Physics 2016-11-15 Ben Heidenreich , Matthew Reece , Tom Rudelius

We propose a scalable analog quantum simulator for quantum electrodynamics (QED) in two spatial dimensions. The setup for the U(1) lattice gauge field theory employs inter-species spin-changing collisions in an ultra-cold atomic mixture…

Quantum Gases · Physics 2021-09-29 Robert Ott , Torsten V. Zache , Fred Jendrzejewski , Jürgen Berges

We review the field of collisionless numerical simulations for the large-scale structure of the Universe. We start by providing the main set of equations solved by these simulations and their connection with General Relativity. We then…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-14 Raul E. Angulo , Oliver Hahn

We study the quantum simulation of Z2 lattice gauge theory in 2+1 dimensions. The dual variable formulation, the so-called Wegner duality, is utilized for reducing redundant gauge degrees of freedom. The problem of artificial charge…

High Energy Physics - Lattice · Physics 2021-02-02 Arata Yamamoto

Ultra-large scales close to the cosmological horizon will be probed by the upcoming observational campaigns. They hold the promise to constrain single-field inflation as well as general relativity, but in order to include them in the…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-11 Thomas Montandon , Oliver Hahn , Clément Stahl
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