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Quantum link models are extensions of Wilson-type lattice gauge theories which realize exact gauge invariance with finite-dimensional Hilbert spaces. Quantum link models not only reproduce the standard features of Wilson's lattice gauge…

Strongly Correlated Electrons · Physics 2019-07-03 Yi-Ping Huang , Debasish Banerjee , Markus Heyl

The roughly linear rise of the potential found between adjoint sources in SU(N) in lattice simulations is expected to saturate into a state of two `gluelumps' due to gluonic screening. We examine this in SU(2) in 2+1 dimensions. Crossover…

High Energy Physics - Lattice · Physics 2009-10-31 P. W. Stephenson

Particle physics underpins our understanding of the world at a fundamental level by describing the interplay of matter and forces through gauge theories. Yet, despite their unmatched success, the intrinsic quantum mechanical nature of gauge…

We analyze the zero-temperature phases of an array of neutral atoms on the kagome lattice, interacting via laser excitation to atomic Rydberg states. Density-matrix renormalization group calculations reveal the presence of a wide variety of…

Quantum Gases · Physics 2021-01-20 Rhine Samajdar , Wen Wei Ho , Hannes Pichler , Mikhail D. Lukin , Subir Sachdev

We show how U(1) lattice gauge theories display key signatures of ergodicity breaking in the presence of a random charge background. Contrary to the widely studied case of spin models, in the presence of Coulomb interactions, the spectral…

Strongly Correlated Electrons · Physics 2020-08-12 Giuliano Giudici , Federica Maria Surace , Joel Etaya Ebot , Antonello Scardicchio , Marcello Dalmonte

Four-dimensional string theories predict in general the existence of light exotic particles with fractional electric charges. Such particles could escape present observations if they are confined by a gauge group of the "hidden" sector into…

High Energy Physics - Theory · Physics 2009-10-22 I. Antoniadis , K. Benakli

The effective string describing the large distance behaviour of the quark sources of gauge field theories in the confining phase in D=3 or D=4 space-time dimensions can be formulated, in the infrared limit, as a suitable 2D conformal field…

High Energy Physics - Lattice · Physics 2009-10-22 M. Caselle , F. Gliozzi , S. Vinti

Simulation of quantum field theories and fundamental interactions are one of the most challenging tasks in modern particle physics. Classical computers generally fail to reproduce accurate results when it comes to strongly coupled theories…

High Energy Physics - Lattice · Physics 2026-01-23 Gianluca Esposito , Simone Cepollaro , Luigi Cappiello , Alioscia Hamma

All-order strong coupling simulations have been used to derive precise energies of string states in the confined phase of three dimensional Z(2) lattice gauge theory. The behavior of the ground state energy is here compared with predictions…

High Energy Physics - Lattice · Physics 2013-09-06 Tomasz Korzec , Ulli Wolff

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

A major driver of quantum-simulator technology is the prospect of probing high-energy phenomena in synthetic quantum matter setups at a high level of control and tunability. Here, we propose an experimentally feasible realization of a…

Quantum Gases · Physics 2025-07-22 Jesse Osborne , Ian P. McCulloch , Bing Yang , Philipp Hauke , Jad C. Halimeh

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

The simulation of real-time dynamics in lattice gauge theories is particularly hard for classical computing due to the exponential scaling of the required resources. On the other hand, quantum algorithms can potentially perform the same…

Quantum Physics · Physics 2020-11-11 Simon V. Mathis , Guglielmo Mazzola , Ivano Tavernelli

The one-dimensional quantum breakdown model, which features spatially asymmetric fermionic interactions simulating the electrical breakdown phenomenon, exhibits an exponential U(1) symmetry and a variety of dynamical phases including…

Strongly Correlated Electrons · Physics 2024-08-27 Yu-Min Hu , Biao Lian

We consider the dynamics in the one-dimensional quantum Ising model in which each spin coherently interacts with its phononic mode. The model is motivated by quantum simulators based on Rydberg atoms in tweezers or trapped ions. The…

Quantum Physics · Physics 2025-07-29 Arindam Mallick , Maciej Lewenstein , Jakub Zakrzewski , Marcin Płodzień

In $\mathrm{U(1)}$ lattice gauge theory in three spacetime dimensions, confinement can be analytically shown to persist at all values of the coupling. Furthermore, the explicit predictions for the dependence of string tension $\sigma$ and…

High Energy Physics - Lattice · Physics 2014-05-02 Davide Vadacchino , Michele Caselle , Roberto Pellegrini , Marco Panero

Leveraging the rapid development of quantum simulators, the intriguing phenomena of quantum string are observed across various quantum simulation platforms. However, the complex interplay between the quantum strings cannot be well analyzed…

Quantum Gases · Physics 2026-01-15 Wei Xu , Xue-Feng Zhang

A number of different approaches to quantum gravity are at least partly phenomenologically characterized by their treatment of Lorentz symmetry, in particular whether the symmetry is exact or modified/broken at the smallest scales. For…

General Relativity and Quantum Cosmology · Physics 2012-08-16 Stefano Liberati , David Mattingly

The Schwinger model (quantum electrodynamics in 1+1 dimensions) is a testbed for the study of quantum gauge field theories. We give scalable, explicit digital quantum algorithms to simulate the lattice Schwinger model in both NISQ and…

Quantum Physics · Physics 2020-08-12 Alexander F. Shaw , Pavel Lougovski , Jesse R. Stryker , Nathan Wiebe

We describe a superconducting-circuit lattice design for the implementation and simulation of dynamical lattice gauge theories. We illustrate our proposal by analyzing a one-dimensional U(1) quantum-link model, where superconducting qubits…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 D. Marcos , P. Rabl , E. Rico , P. Zoller
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