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Disorder-free localization is a paradigm of nonergodicity in translation-invariant quantum many-body systems hosting gauge symmetries. The quench dynamics starting from simple initial states, which correspond to extensive superpositions of…

Disordered Systems and Neural Networks · Physics 2022-01-07 Jad C. Halimeh , Hongzheng Zhao , Philipp Hauke , Johannes Knolle

Disorder-free localization is a paradigm of strong ergodicity breaking that has been shown to occur in global quenches of lattice gauge theories when the system is initialized in a superposition over an extensive number of gauge sectors.…

Disordered Systems and Neural Networks · Physics 2022-06-24 Jad C. Halimeh , Philipp Hauke , Johannes Knolle , Fabian Grusdt

Disorder-free localization in translation-invariant gauge theories presents a counterintuitive yet powerful framework of ergodicity breaking in quantum many-body physics. The fragility of this phenomenon in the presence of gauge-breaking…

Quantum Gases · Physics 2022-12-07 Haifeng Lang , Philipp Hauke , Johannes Knolle , Fabian Grusdt , Jad C. Halimeh

The $\mathbb{Z}_2$ lattice gauge model, as the simplest realization of a lattice gauge theory, exhibits rich and unconventional physics. One of its most remarkable features is disorder-free localization, where localization emerges not from…

Quantum Physics · Physics 2025-09-09 Xuanpu Yang , Xiang-Ping Jiang , Lei Pan

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…

Disorder-free localization has been recently introduced as a mechanism for ergodicity breaking in low-dimensional homogeneous lattice gauge theories caused by local constraints imposed by gauge invariance. We show that also genuinely…

Strongly Correlated Electrons · Physics 2021-04-07 P. Karpov , R. Verdel , Y. -P. Huang , M. Schmitt , M. Heyl

Disorder-free localization (DFL) is a phenomenon as striking as it appears to be simple: a translationally invariant state evolving under a disorder-free Hamiltonian failing to thermalize. It is predicted to occur in a number of quantum…

We study quantum quenches in two-dimensional lattice gauge theories with fermions coupled to dynamical $\mathbb{Z}_2$ gauge fields. Through the identification of an extensive set of conserved quantities, we propose a generic mechanism of…

Strongly Correlated Electrons · Physics 2018-06-26 Adam Smith , Johannes Knolle , Roderich Moessner , Dmitry L. Kovrizhin

Localization due to the presence of disorder has proven crucial for our current understanding of relaxation in isolated quantum systems. The many-body localized phase constitutes a robust alternative to the thermalization of complex…

Strongly Correlated Electrons · Physics 2020-10-21 Irene Papaefstathiou , Adam Smith , Johannes Knolle

Disorder-induced phenomena in quantum many-body systems pose significant challenges for analytical methods and numerical simulations at relevant time and system scales. To reduce the cost of disorder-sampling, we investigate quantum…

Quantum Physics · Physics 2025-07-08 Gaurav Gyawali , Shashwat Kumar , Yuri D. Lensky , Eliott Rosenberg , Aaron Szasz , Tyler Cochran , Renyi Chen , Amir H. Karamlou , Kostyantyn Kechedzhi , Julia Berndtsson , Tom Westerhout , Abraham Asfaw , Dmitry Abanin , Rajeev Acharya , Laleh Aghababaie Beni , Trond I. Andersen , Markus Ansmann , Frank Arute , Kunal Arya , Nikita Astrakhantsev , Juan Atalaya , Ryan Babbush , Brian Ballard , Joseph C. Bardin , Andreas Bengtsson , Alexander Bilmes , Gina Bortoli , Alexandre Bourassa , Jenna Bovaird , Leon Brill , Michael Broughton , David A. Browne , Brett Buchea , Bob B. Buckley , David A. Buell , Tim Burger , Brian Burkett , Nicholas Bushnell , Anthony Cabrera , Juan Campero , Hung-Shen Chang , Zijun Chen , Ben Chiaro , Jahan Claes , Agnetta Y. Cleland , Josh Cogan , Roberto Collins , Paul Conner , William Courtney , Alexander L. Crook , Sayan Das , Dripto M. Debroy , Laura DeLorenzo , Alexander Del Toro Barba , Sean Demura , Agustin DiPaolo , Paul Donohoe , Ilya Drozdov , Andrew Dunsworth , Clint Earle , Alec Eickbusch , Aviv Moshe Elbag , Mahmoud Elzouka , Catherine Erickson , Lara Faoro , Reza Fatemi , Vinicius S. Ferreira , Leslie Flores Burgos , Ebrahim Forati , Austin G. Fowler , Brooks Foxen , Suhas Ganjam , Robert Gasca , William Giang , Craig Gidney , Dar Gilboa , Raja Gosula , Alejandro Grajales Dau , Dietrich Graumann , Alex Greene , Jonathan A. Gross , Steve Habegger , Michael C. Hamilton , Monica Hansen , Matthew P. Harrigan , Sean D. Harrington , Stephen Heslin , Paula Heu , Gordon Hill , Jeremy Hilton , Markus R. Hoffmann , Hsin-Yuan Huang , Ashley Huff , William J. Huggins , Lev B. Ioffe , Sergei V. Isakov , Evan Jeffrey , Zhang Jiang , Cody Jones , Stephen Jordan , Chaitali Joshi , Pavol Juhas , Dvir Kafri , Hui Kang , Trupti Khaire , Tanuj Khattar , Mostafa Khezri , Mária Kieferová , Seon Kim , Paul V. Klimov , Andrey R. Klots , Bryce Kobrin , Alexander N. Korotkov , Fedor Kostritsa , John Mark Kreikebaum , Vladislav D. Kurilovich , David Landhuis , Tiano Lange-Dei , Brandon W. Langley , Pavel Laptev , Kim-Ming Lau , Loick LeGuevel , Justin Ledford , Joonho Lee , Kenny Lee , Brian J. Lester , Wing Yan Li , Alexander T. Lill , Wayne Liu , William P. Livingston , Aditya Locharla , Daniel Lundahl , Aaron Lunt , Sid Madhuk , Ashley Maloney , Salvatore Mandrà , Leigh S. Martin , Steven Martin , Orion Martin , Cameron Maxfield , Jarrod R. McClean , Matt McEwen , Seneca Meeks , Anthony Megrant , Xiao Mi , Kevin C. Miao , Amanda Mieszala , Sebastian Molina , Shirin Montazeri , Alexis Morvan , Ramis Movassagh , Charles Neill , Ani Nersisyan , Michael Newman , Anthony Nguyen , Murray Nguyen , Chia-Hung Ni , Murphy Yuezhen Niu , William D. Oliver , Kristoffer Ottosson , Alex Pizzuto , Rebecca Potter , Orion Pritchard , Leonid P. Pryadko , Chris Quintana , Matthew J. Reagor , David M. Rhodes , Gabrielle Roberts , Charles Rocque , Nicholas C. Rubin , Negar Saei , Kannan Sankaragomathi , Kevin J. Satzinger , Henry F. Schurkus , Christopher Schuster , Michael J. Shearn , Aaron Shorter , Noah Shutty , Vladimir Shvarts , Volodymyr Sivak , Jindra Skruzny , Spencer Small , W. Clarke Smith , Sofia Springer , George Sterling , Jordan Suchard , Marco Szalay , Alex Sztein , Douglas Thor , M. Mert Torunbalci , Abeer Vaishnav , Sergey Vdovichev , Guifre Vidal , Catherine Vollgraff Heidweiller , Steven Waltman , Shannon X. Wang , Theodore White , Kristi Wong , Bryan W. K. Woo , Cheng Xing , Z. Jamie Yao , Ping Yeh , Bicheng Ying , Juhwan Yoo , Noureldin Yosri , Grayson Young , Adam Zalcman , Yaxing Zhang , Ningfeng Zhu , Nicholas Zobrist , Sergio Boixo , Julian Kelly , Erik Lucero , Yu Chen , Vadim Smelyanskiy , Hartmut Neven , Dmitry Kovrizhin , Johannes Knolle , Jad C. Halimeh , Igor Aleiner , Roderich Moessner , Pedram Roushan

Disorder-free localization is a novel mechanism for ergodicity breaking which can occur in interacting quantum many-body systems such as lattice gauge theories (LGTs). While the nature of the quantum localization transition (QLT) is still…

Disordered Systems and Neural Networks · Physics 2022-10-20 Nilotpal Chakraborty , Markus Heyl , Petr Karpov , Roderich Moessner

We investigate how isolated quantum many-body systems dynamically equilibrate under non-Abelian gauge-symmetry constraints. By encoding gauge superselection sectors into static $\mathrm{SU}(2)$ background charges, we map out the dynamical…

Quantum Gases · Physics 2026-05-22 Giovanni Cataldi , Giuseppe Calajó , Pietro Silvi , Simone Montangero , Jad C. Halimeh

We introduce a clean cluster spin chain coupled to fully interacting spinless fermions, forming an unconstrained Z2 lattice gauge theory (LGT) which possesses dynamical proximity effect controlled by the entanglement structure of the…

Strongly Correlated Electrons · Physics 2019-02-12 H. Yarloo , M. Mohseni-Rajaee , A. Langari

Disorder-free localization (DFL) is an ergodicity breaking mechanism that has been shown to occur in lattice gauge theories in the quench dynamics of initial states spanning an extensive number of gauge superselection sectors. Whether DFL…

Quantum Gases · Physics 2024-03-05 Pablo Sala , Giuliano Giudici , Jad C. Halimeh

We investigate measurement-induced localization in a continuously monitored one-dimensional Aubry--Andr\'e--Harper model, focusing on the quantum Zeno regime in which the measurements dominate coherent dynamics. The presence of a…

Statistical Mechanics · Physics 2026-05-15 Pinaki Singha , Nilanjan Roy , Marcin Szyniszewski , Auditya Sharma

In condensed matter physics gauge symmetries other than the U(1) of electromagnetism are of an emergent nature. Two emergence mechanisms for gauge symmetry are well established: the way these arise in Kramers-Wannier type local-global…

Strongly Correlated Electrons · Physics 2012-02-23 J. Zaanen , A. J. Beekman

With recent progress in quantum simulations of lattice-gauge theories, it is becoming a pressing question how to reliably protect the gauge symmetry that defines such models. In a recent work [J. C. Halimeh \textit{et al.},…

Quantum Physics · Physics 2021-10-18 Maarten Van Damme , Julius Mildenberger , Fabian Grusdt , Philipp Hauke , Jad C. Halimeh

Rydberg atom arrays promise high-fidelity quantum simulations of critical phenomena with flexible geometries. Yet experimental realizations inevitably suffer from disorder due to random displacements of atoms, leading to departures from the…

Disordered Systems and Neural Networks · Physics 2025-12-02 Xingyu Li , Shuyan Zhou , Xue Chen , Chengshu Li , Hanteng Wang

A recent experiment [Nature Physics 10, 1 (2019)] has realized a dynamical gauge system with $\mathbb{Z}_2$ gauge symmetry in a double-well potential. In this work we propose a method to generalize this model from a single double well to a…

Quantum Gases · Physics 2020-09-23 Zhiyuan Yao , Chang Liu , Pengfei Zhang , Hui Zhai

Localization methods have recently led to a plethora of new exact results in supersymmetric gauge theories, as certain observables may be computed in terms of matrix integrals. These can then be evaluated by making use of standard large N…

High Energy Physics - Theory · Physics 2015-01-20 Inês Aniceto , Jorge G. Russo , Ricardo Schiappa
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