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Related papers: Testing Eigenstate Thermalization Hypothesis for N…

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We review recent and present new results on thermalization of nonabelian gauge theory obtained by exact numerical simulation of the real-time dynamics of $(2+1)$-dimensional SU(2) lattice gauge theory. We discuss: (1) tests confirming the…

High Energy Physics - Lattice · Physics 2025-10-01 Lukas Ebner , Berndt Müller , Andreas Schäfer , Leonhard Schmotzer , Clemens Seidl , Xiaojun Yao

We test the eigenstate thermalization hypothesis (ETH) for 2+1 dimensional SU(2) lattice gauge theory. By considering the theory on a chain of plaquettes and truncating basis states for link variables at $j=1/2$, we can map it onto a…

High Energy Physics - Lattice · Physics 2023-08-22 Xiaojun Yao

We test the eigenstate thermalization hypothesis (ETH) in 1+1-dimensional SU(2) lattice gauge theory (LGT) with one flavor of dynamical fermions. Using the loop-string-hadron framework of the LGT with a bosonic cut-off, we exactly…

High Energy Physics - Theory · Physics 2026-05-28 Diptarka Das , Lukas Ebner , Saurabh V. Kadam , Indrakshi Raychowdhury , Andreas Schäfer , Xiaojun Yao

We study some interesting aspects of the spectral properties of SU(3) gauge theory, both with and without dynamical quarks (QCD) at thermal equilibrium using lattice gauge theory techniques. By calculating the eigenstates of a massless…

High Energy Physics - Lattice · Physics 2026-03-05 Harshit Pandey , Ravi Shanker , Sayantan Sharma

We present preliminary numerical evidence for the hypothesis that the Hamiltonian SU(2) gauge theory discretized on a lattice obeys the Eigenstate Thermalization Hypothesis (ETH). To do so we study three approximations: (a) a linear…

High Energy Physics - Lattice · Physics 2024-08-29 Lukas Ebner , Berndt Müller , Andreas Schäfer , Clemens Seidl , Xiaojun Yao

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

We introduce a gauge-invariant measure of the local "abelianicity" of any given lattice configuration in non-abelian lattice gauge theory; it is essentially a comparison of the magnitude of field strength commutators to the magnitude of the…

High Energy Physics - Lattice · Physics 2009-10-28 J. Giedt , J. Greensite

Non-abelian gauge theories play an important role in the standard model of particle physics, and unfold a partially unexplored world of exciting physical phenomena. In this letter, we suggest a realization of a non-abelian lattice gauge…

Quantum Physics · Physics 2013-03-25 Erez Zohar , J. Ignacio Cirac , Benni Reznik

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

We elucidate how the presence of higher-form symmetries affects the dynamics of thermalization in isolated quantum systems. Under reasonable assumptions, we analytically show that a $p$-form symmetry in a $(d+1)$-dimensional quantum field…

Statistical Mechanics · Physics 2023-10-10 Osamu Fukushima , Ryusuke Hamazaki

In this article, we review some of the recent developments towards the future goal of quantum computing or quantum simulating lattice QCD. This includes a novel theoretical framework developed for non-Abelian gauge theories that is the…

High Energy Physics - Lattice · Physics 2021-07-21 Indrakshi Raychowdhury

Using dual theories embedded into a larger unphysical Hilbert space along entanglement cuts, we study the Entanglement Structure of $\mathbf{Z}_2$ lattice gauge theory in $(2+1)$ spacetime dimensions. We demonstrate Li and Haldane's…

Quantum Physics · Physics 2022-07-01 Niklas Mueller , Torsten V. Zache , Robert Ott

We investigate the eigenstate thermalization properties of the spin-1/2 $XXZ$ model in two-dimensional rectangular lattices of size $L_1\times L_2$ under periodic boundary conditions. Exploiting the symmetry property, we can perform an…

Statistical Mechanics · Physics 2023-02-01 Jae Dong Noh

We propose an analog quantum simulator for simulating real time dynamics of $(1+1)$-d non-Abelian gauge theory well within the existing capacity of ultracold atom experiments. The scheme calls for the realization of a two-state ultracold…

High Energy Physics - Lattice · Physics 2020-09-30 Raka Dasgupta , Indrakshi Raychowdhury

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

The properties of strongly-coupled lattice gauge theories at finite density as well as in real time have largely eluded first-principles studies on the lattice. This is due to the failure of importance sampling for systems with a complex…

High Energy Physics - Lattice · Physics 2025-08-20 Michael Fromm , Owe Philipsen , Michael Spannowsky , Christopher Winterowd

We discuss and propose a proper extension of the Abelian projection based on the Maximal Abelian Gauge to SU(N) gauge theories. Based, on that, we investigate the properties of thermal Abelian monopoles in the deconfined phase of the SU(3)…

High Energy Physics - Lattice · Physics 2015-06-16 Claudio Bonati , Massimo D'Elia

Simulating non-equilibrium phenomena in strongly-interacting quantum many-body systems, including thermalization, is a promising application of near-term and future quantum computation. By performing experiments on a digital quantum…

Quantum Physics · Physics 2025-09-19 Niklas Mueller , Tianyi Wang , Or Katz , Zohreh Davoudi , Marko Cetina

SU(2) gauge theory is investigated with a lattice action which is insensitive to small perturbations of the lattice gauge fields. Bare perturbation theory can not be defined for such actions at all. We compare non-perturbative continuum…

High Energy Physics - Lattice · Physics 2018-08-29 Daniel Nogradi , Lorinc Szikszai , Zoltan Varga

We show that, within the framework of suitably chosen approximate effective actions it is possible to evaluate analytically the string tension, the spacelike string tension and the deconfinement temperature of (2+1) dimensional lattice…

High Energy Physics - Lattice · Physics 2009-10-28 M. Caselle
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