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Discrete translational symmetry plays a fundamental role in condensed matter physics and lattice gauge theories, enabling the analysis of systems that would otherwise be intractable. Despite this, many open problems remain. Quantum…

Quantum Physics · Physics 2026-01-07 Joris Kattemölle , Guido Burkard

Computing the vacuum and energy spectrum in non-Abelian, interacting lattice gauge theories remains an open challenge, in part because approximating the continuum limit requires large lattices and huge Hilbert spaces. To address this…

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 analyze some crucial questions regarding the practical feasibility of quantum simulation for lattice gauge models. Our analysis focuses on two models suitable for the quantum simulation of the Schwinger Hamiltonian, or QED in 1+1…

Quantum Physics · Physics 2014-12-11 Stefan Kühn , J. Ignacio Cirac , Mari-Carmen Bañuls

Confinement of quarks due to the strong interaction and the deconfinement at high temperatures and high densities are a basic paradigm for understanding the nuclear matter. Their simulation, however, is very challenging for classical…

Quantum Physics · Physics 2024-02-21 Xu-Dan Xie , Xingyu Guo , Hongxi Xing , Zheng-Yuan Xue , Dan-Bo Zhang , Shi-Liang Zhu

Quantum link models provide an alternative non-perturbative formulation of Abelian and non-Abelian lattice gauge theories. They are ideally suited for quantum simulation, for example, using ultracold atoms in an optical lattice. This holds…

High Energy Physics - Theory · Physics 2015-06-23 Uwe-Jens Wiese

We simulate the thermalization dynamics for minimally truncated SU(2) pure gauge theory on linear plaquette chains with up to 151 plaquettes using IBM quantum computers. We study the time dependence of the entanglement spectrum, R\'enyi-2…

High Energy Physics - Lattice · Physics 2026-04-13 Jiunn-Wei Chen , Yu-Ting Chen , Ghanashyam Meher , Berndt Müller , Andreas Schäfer , Xiaojun Yao

Introduction Cold atomic gases in optical lattices are emerging as excellent laboratories for testing models of strongly interacting particles in condensed matter physics. Currently, one of the major open questions is how to obtain the…

Quantum Gases · Physics 2013-05-30 E. Duchon , Y. Kato , N. Trivedi

Gauge theories describe the fundamental forces in the standard model of particle physics and play an important role in condensed matter physics. The constituents of gauge theories, for example charged matter and electric gauge field, are…

Quantum Physics · Physics 2025-12-03 Julius Mildenberger , Wojciech Mruczkiewicz , Jad C. Halimeh , Zhang Jiang , Philipp Hauke

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

Gauge theories are fundamental to our understanding of interactions between the elementary constituents of matter as mediated by gauge bosons. However, computing the real-time dynamics in gauge theories is a notorious challenge for…

Quantum Physics · Physics 2016-06-28 E. A. Martinez , C. A. Muschik , P. Schindler , D. Nigg , A. Erhard , M. Heyl , P. Hauke , M. Dalmonte , T. Monz , P. Zoller , R. Blatt

Quantum simulation of lattice gauge theories (LGTs), aiming at tackling non-perturbative particle and condensed matter physics, has recently received a lot of interest and attention, resulting in many theoretical proposals, as well as…

Simulating strongly coupled gauge theories at finite temperature and density is a longstanding challenge in nuclear and high-energy physics that also has fundamental implications for condensed matter physics. In this work, we use minimally…

Gauge theories represent a fundamental framework underlying modern physics, constituting the basis of the Standard Model and also providing useful descriptions of various phenomena in condensed matter. Realizing gauge theories on accessible…

Quantum Gases · Physics 2023-10-20 Jad C. Halimeh , Monika Aidelsburger , Fabian Grusdt , Philipp Hauke , Bing Yang

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…

Recently, the possibility of quantum simulation of dynamical gauge fields was pointed out by using a system of cold atoms trapped on each link in an optical lattice. However, to implement exact local gauge invariance, fine-tuning the…

Quantum Physics · Physics 2015-06-12 Kenichi Kasamatsu , Ikuo Ichinose , Tetsuo Matsui

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…

Simulating real-time dynamics of gauge theories represents a paradigmatic use case to test the hardware capabilities of a quantum computer, since it can involve non-trivial input states preparation, discretized time evolution, long-distance…

Gauge theories are the most successful theories for describing nature at its fundamental level, but obtaining analytical or numerical solutions often remains a challenge. We propose an experimental quantum simulation scheme to study ground…

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