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Quantum simulation of synthetic dynamic gauge field has attracted much attentions in recent years. There are two traditional ways to simulate gauge theories. One is to directly simulate the full Hamiltonian of gauge theories with local…

Quantum Gases · Physics 2025-03-31 Junsen Wang , Xiangxiang Sun , Wei Zheng

This paper fires the opening salvo in the systematic construction of the lattice-continuum correspondence, a precise dictionary that describes the emergence of continuum quantum theories from finite, nonperturbatively defined models…

High Energy Physics - Theory · Physics 2021-08-31 Djordje Radicevic

I summarise what lattice methods can contribute to our understanding of the phenomenology of QCD at large Nc and describe some recent work on the physics of SU(Nc) gauge theories. These non-perturbative calculations show that there is…

High Energy Physics - Phenomenology · Physics 2017-08-23 M. Teper

Bandlimited approaches to quantum field theory offer the tantalizing possibility of working with fields that are simultaneously both continuous and discrete via the Shannon Sampling Theorem from signal processing. Conflicting assumptions in…

Quantum Physics · Physics 2023-11-29 Dominic G. Lewis , Achim Kempf , Nicolas C. Menicucci

Calculations of nonequilibrium processes become increasingly feasable in quantum field theory from first principles. There has been important progress in our analytical understanding based on 2PI generating functionals. In addition, for the…

High Energy Physics - Theory · Physics 2010-02-04 J. Berges , Sz. Borsanyi

Quantum link models (QLMs) are generalizations of Wilson's lattice gauge theory formulated with finite-dimensional link Hilbert spaces. In certain cases, the non-Abelian Gauss Law constraint can be exactly solved, and the gauge invariant…

High Energy Physics - Lattice · Physics 2024-12-16 Graham Van Goffrier , Debasish Banerjee , Bipasha Chakraborty , Emilie Huffman , Sandip Maiti

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 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

Gauge field theories play a central role in modern physics and are at the heart of the Standard Model of elementary particles and interactions. Despite significant progress in applying classical computational techniques to simulate gauge…

Quantum Physics · Physics 2020-04-15 Zohreh Davoudi , Mohammad Hafezi , Christopher Monroe , Guido Pagano , Alireza Seif , Andrew Shaw

QCD is constructed as a lattice gauge theory in which the elements of the link matrices are represented by non-commuting operators acting in a Hilbert space. The resulting quantum link model for QCD is formulated with a fifth Euclidean…

High Energy Physics - Theory · Physics 2016-08-25 R. Brower , S. Chandrasekharan , U. -J. Wiese

A new non-perturbative approach to quantum field theory --- D-theory --- is proposed, in which continuous classical fields are replaced by discrete quantized variables which undergo dimensional reduction. The 2-d classical O(3) model…

High Energy Physics - Lattice · Physics 2009-10-30 B. B. Beard , R. C. Brower , S. Chandrasekharan , D. Chen , A. Tsapalis , U. -J. Wiese

A simple lattice model inducing a gauge theory is considered. The model describes an interaction of a gauge field to an $N\times N$ complex matrix scalar field transforming as a field in the fundamental representation. In contrast to the…

High Energy Physics - Theory · Physics 2011-07-19 I. Ya. Aref'eva

The advantage of simulating lattice field theory with quantum computers is hamstrung by the limited resources that induce large errors from finite volume and sizable lattice spacings. Previous work has shown how classical simulations near…

High Energy Physics - Lattice · Physics 2023-01-04 Marcela Carena , Erik J. Gustafson , Henry Lamm , Ying-Ying Li , Wanqiang Liu

We introduce local information flows as a diagnostic tool for characterizing out-of-equilibrium quantum dynamics in lattice gauge theories. We employ the information lattice framework, a local decomposition of total information into…

Quantum Physics · Physics 2025-12-23 Claudia Artiaco , João Barata , Enrique Rico

Dynamical quantum phase transitions (DQPTs) are a powerful concept of probing far-from-equilibrium criticality in quantum many-body systems. With the strong ongoing experimental drive to quantum-simulate lattice gauge theories, it becomes…

Strongly Correlated Electrons · Physics 2022-12-13 Maarten Van Damme , Torsten V. Zache , Debasish Banerjee , Philipp Hauke , Jad C. Halimeh

One of the methods proposed in the last years for studying non-perturbative gauge theory physics is quantum simulation, where lattice gauge theories are mapped onto quantum devices which can be built in the laboratory, or quantum computers.…

High Energy Physics - Lattice · Physics 2024-04-02 Judy Shir , Erez Zohar

An overarching goal in the flourishing field of quantum simulation for high-energy physics is the first-principles study of the microscopic dynamics of scattering processes on a quantum computer. Currently, this is hampered by small system…

This document is one of a series of whitepapers from the USQCD collaboration. Here, we discuss opportunities for lattice field theory research to make an impact on models of new physics beyond the Standard Model, including composite Higgs,…

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

Quantum simulations of High Energy Physics, and especially of gauge theories, is an emerging and exciting direction in quantum simulations. However, simulations of such theories, compared to simulations of condensed matter physics, must…

Quantum Physics · Physics 2013-08-29 Erez Zohar , J. Ignacio Cirac , Benni Reznik