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Symmetries play a central role in single-particle localization. Recent research focused on many-body localized (MBL) systems, characterized by new kind of integrability, and by the area-law entanglement of eigenstates. We investigate the…

Strongly Correlated Electrons · Physics 2020-02-12 I. V. Protopopov , R. K. Panda , T. Parolini , A. Scardicchio , E. Demler , D. A. Abanin

Lattice gauge theories (LGTs) are one of the most fundamental subjects in many-body physics, and has recently attracted considerable research interests in quantum simulations. Here we experimentally investigate the emergent $\mathbb{Z}_2$…

The venerable phenomena of Anderson localization, along with the much more recent many-body localization, both depend crucially on the presence of disorder. The latter enters either in the form of quenched disorder in the parameters of the…

Strongly Correlated Electrons · Physics 2017-07-04 Adam Smith , Johannes Knolle , Dmitry L. Kovrizhin , Roderich Moessner

We develop a novel holographic framework to study dynamical phases in random quantum circuits with a global symmetry $G$. Viewing the circuit as a tensor network, we decompose it into two parts: a symmetric layer, which defines an emergent…

Quantum Physics · Physics 2026-05-11 Akash Vijay , Jong Yeon Lee

I give an introductory review of recent, fascinating developments in supersymmetric gauge theories. I explain pedagogically the miraculous properties of supersymmetric gauge dynamics allowing one to obtain exact solutions in many instances.…

High Energy Physics - Theory · Physics 2011-04-15 M. Shifman

Quantum measurements profoundly influence system dynamics. They lead to complex nonequilibrium phenomena like the quantum Zeno effect, and they can be used for mitigating errors in quantum simulations. Such an ability is particularly…

Quantum Physics · Physics 2025-03-20 Matteo M. Wauters , Edoardo Ballini , Alberto Biella , Philipp Hauke

Disorder-free localization (DFL) has been established as a mechanism of strong ergodicity breaking in $1+1$D lattice gauge theories (LGTs) with dynamical matter for quenches starting in homogeneous initial states that span an extensive…

Quantum Gases · Physics 2023-01-20 Jesse Osborne , Ian P. McCulloch , Jad C. Halimeh

The asymptotic symmetries of electromagnetism in all higher spacetime dimensions $d>4$ are extended, by incorporating consistently angle-dependent $u(1)$ gauge transformations with a linear growth in the radial coordinate at spatial…

High Energy Physics - Theory · Physics 2023-05-03 Oscar Fuentealba

We investigate the role of a quasiperiodically driven electric field in a one-dimensional disordered fermionic chain. In the clean non-interacting case, we show the emergence of dynamical localization - a phenomenon previously known to…

Disordered Systems and Neural Networks · Physics 2024-07-08 Vatsana Tiwari , Devendra Singh Bhakuni , Auditya Sharma

Behavior of doped fermions in $Z_2$ gauge theories for the quantum dimer and eight-vertex models is studied. Fermions carry charge and spin degrees of freedom. In the confinement phase of the $Z_2$ gauge theories, these internal symmetries…

Strongly Correlated Electrons · Physics 2009-11-10 Ikuo Ichinose , Daisuke Yoshioka

We show that certain lattice gauge theories exhibiting disorder-free localization have a characteristic response in spatially averaged spectral functions: a few sharp peaks combined with vanishing response in the zero frequency limit. This…

Disordered Systems and Neural Networks · Physics 2024-04-12 Nilotpal Chakraborty , Markus Heyl , Petr Karpov , Roderich Moessner

The emergent gauge theories are reconsidered in light of supersymmetry and an appropriate emergence conjecture is formulated. Accordingly, it might be expected that only global symmetries are fundamental symmetries of Nature, whereas local…

High Energy Physics - Phenomenology · Physics 2015-06-16 J. L. Chkareuli

Gauge theories are important descriptions for many physical phenomena and systems in quantum computation. Automorphism of gauge group naturally gives global symmetries of gauge theories. In this work we study such symmetries in gauge…

Strongly Correlated Electrons · Physics 2026-05-12 Po-Shen Hsin , Ryohei Kobayashi

Local gauge symmetry is intriguing for the study of quantum thermalization breaking. For example, in the high-spin lattice Schwinger model (LSM), the local U(1) gauge symmetry underlies the disorder-free many-body localization (MBL)…

Quantum Gases · Physics 2023-03-29 Chunping Gao , Zheng Tang , Fei Zhu , Yunbo Zhang , Han Pu , Li Chen

Anderson localization, the absence of diffusion in disordered media, draws its origins from the destructive interference between multiple scattering paths. The localization properties of disordered systems are expected to be dramatically…

Spin chains with symmetry-protected edge zero modes can be seen as prototypical systems for exploring topological signatures in quantum systems. These are useful for robustly encoding quantum information. However in an experimental…

Disordered Systems and Neural Networks · Physics 2019-06-26 Marcel Goihl , Christian Krumnow , Marek Gluza , Jens Eisert , Nicolas Tarantino

Recent work has applied supervised deep learning to derive continuous symmetry transformations that preserve the data labels and to obtain the corresponding algebras of symmetry generators. This letter introduces two improved algorithms…

High Energy Physics - Theory · Physics 2023-07-12 Roy T. Forestano , Konstantin T. Matchev , Katia Matcheva , Alexander Roman , Eyup B. Unlu , Sarunas Verner

Sufficient disorder is believed to localize static and periodically-driven interacting chains. With quasiperiodic driving by $D$ incommensurate tones, the fate of this many-body localization (MBL) is unknown. We argue that randomly…

Disordered Systems and Neural Networks · Physics 2022-04-20 David M. Long , Philip J. D. Crowley , Anushya Chandran

We present a review of supersymmetry, supergravity, and the non-perturbative dynamics of gauge theories, tracing a path from the supersymmetry algebra to moduli stabilisation and de~Sitter vacua in string theory. Representations of the…

High Energy Physics - Theory · Physics 2026-04-23 Tetiana Obikhod

We investigate a quantum Heisenberg model with both antiferromagnetic and disordered nearest-neighbor couplings. We use an extended dynamical mean-field approach, which reduces the lattice problem to a self-consistent local impurity problem…

Disordered Systems and Neural Networks · Physics 2009-11-13 S. Burdin , D. R. Grempel , M. Grilli