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We propose the implementation of a digital quantum simulation of spin chains coupled to bosonic field modes in superconducting circuits. Gates with high fidelities allows one to simulate a variety of Ising magnetic pairing interactions with…

Quantum Physics · Physics 2015-10-02 U. Las Heras , L. García-Álvarez , A. Mezzacapo , E. Solano , L. Lamata

We present a numerical study about the confining regime of compact U(1) lattice gauge theory in 4D. To address the problem, we exploit the duality properties of the theory. The main features of this method are presented, and its possible…

High Energy Physics - Lattice · Physics 2008-11-26 Marco Panero

In this paper, we examine a compact $U(1)$ lattice gauge theory in $(2+1)$ dimensions and present a strategy for studying the running coupling and extracting the non-perturbative $\Lambda$-parameter. To this end, we combine Monte Carlo…

High Energy Physics - Lattice · Physics 2024-06-13 Arianna Crippa , Simone Romiti , Lena Funcke , Karl Jansen , Stefan Kühn , Paolo Stornati , Carsten Urbach

Lattice field theory, along with its algorithmic and hardware ecosystems, has been at the forefront of computational particle and nuclear physics. It continues to deliver impressive results on the hadronic spectrum, structure, decays, and…

High Energy Physics - Lattice · Physics 2026-05-21 Zohreh Davoudi

We use quantum Monte Carlo and exact diagonalization calculations to study the Mott-insulator to superconductor quantum phase transition in a two-dimensional fermionic Hubbard model with attractive interactions in the presence of a…

Strongly Correlated Electrons · Physics 2015-10-07 Rubem Mondaini , Predrag Nikolic , Marcos Rigol

Understanding the non-equilibrium dynamics of gauge theories remains a fundamental challenge in high-energy physics. Indeed, most large scale experiments on gauge theories intrinsically rely on very far-from equilibrium dynamics, from…

We investigate singly and doubly charged flux tubes in U(1) lattice gauge theory. By simulating the dually transformed path integral we are able to consider large flux tube lengths, low temperatures, and multiply charged systems without…

High Energy Physics - Lattice · Physics 2008-11-26 Martin Zach , Manfried Faber , Peter Skala

The perspectives of numerical simulations in supersymmetric quantum field theories with vector-like gauge symmetries are discussed. A numerical simulation algorithm for SU(2) gauge theory with gluinos is studied and the first results on the…

High Energy Physics - Lattice · Physics 2009-10-28 I. Montvay

We develop diffusion models for simulating lattice gauge theories, where stochastic quantization is explicitly incorporated as a physical condition for sampling. We demonstrate the applicability of this novel sampler to U(1) gauge theory in…

High Energy Physics - Lattice · Physics 2026-01-26 Qianteng Zhu , Gert Aarts , Wei Wang , Kai Zhou , Lingxiao Wang

We introduce a method for quantum simulation of U$(1)$ lattice gauge theories coupled to matter, utilizing alkaline-earth(-like) atoms in state-dependent optical lattices. The proposal enables the study of both gauge and fermionic-matter…

Quantum link models extend lattice gauge theories beyond the traditional Wilson formulation and present promising candidates for both digital and analog quantum simulations. Fermionic matter coupled to $U(1)$ quantum link gauge fields has…

Strongly Correlated Electrons · Physics 2025-04-25 N. S. Srivatsa , Jesse J. Osborne , Debasish Banerjee , Jad C. Halimeh

Quantum simulations of many-body systems offer novel methods for probing the dynamics of the Standard Model and its constituent gauge theories. Extracting low-energy predictions from such simulations rely on formulating…

Quantum Physics · Physics 2025-12-30 Henry Froland , Dorota M. Grabowska , Zhiyao Li

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

Simulation of materials by using quantum processors is envisioned to be a major direction of development in quantum information science. Here we exploit the mathematical analogies between a triangular spin lattice with Dzyaloshinskii-Moriya…

Quantum Physics · Physics 2021-09-27 Antti Vepsäläinen , Gheorghe Sorin Paraoanu

The postulate of gauge invariance in nature does not lend itself directly to implementations of lattice gauge theories in modern setups of quantum synthetic matter. Unavoidable gauge-breaking errors in such devices require gauge invariance…

We investigate the feasibility of simulating different model Hamiltonians used in high-temperature superconductivity. We briefly discuss the most common models and then focus on the simulation of the so-called t-J-U Hamiltonian using…

Quantum Physics · Physics 2007-05-23 Alexander Klein , Dieter Jaksch

The $U(1)$ quantum link model on the triangular lattice has two rotation-symmetry-breaking nematic confined phases. Static external charges are connected by confining strings consisting of individual strands with fractionalized electric…

High Energy Physics - Lattice · Physics 2021-07-06 D. Banerjee , S. Caspar , F. -J. Jiang , J. -H. Peng , U. -J. Wiese

Practical quantum computing holds clear promise in addressing problems not generally tractable with classical simulation techniques, and some key physically interesting applications are those of real-time dynamics in strongly coupled…

Quantum Physics · Physics 2022-11-21 Emilie Huffman , Miguel García Vera , Debasish Banerjee

Kinetic constraints are generally expected to slow down dynamics in many-body systems, obstructing or even completely suppressing transport of conserved charges. Here, we show how gauge theories can defy this wisdom by yielding constrained…

Lattice gauge theory is an essential tool for strongly interacting non-Abelian fields, such as those in quantum chromodynamics where lattice results have been of central importance for several decades. Recent studies suggest that quantum…

High Energy Physics - Lattice · Physics 2021-08-18 Sarmed A Rahman , Randy Lewis , Emanuele Mendicelli , Sarah Powell