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There has been substantial progress in understanding confinement in a class of four-dimensional SU(N) gauge theories using semiclassical methods. These models have one or more compact directions, and much of the analysis is based on the…

High Energy Physics - Theory · Physics 2014-10-08 Michael C. Ogilvie

We study the warming process of a semi-infinite cylindrical Ising lattice initially ordered and coupled at the boundary to a heat reservoir. The adoption of a proper microcanonical dynamics allows a detailed study of the time evolution of…

Statistical Mechanics · Physics 2015-06-03 Elena Agliari , Mario Casartelli , Alessandro Vezzani

We investigate the ground-state phase diagram of a one-dimensional $\mathbb{Z}_2$ lattice gauge theory (LGT) model with hard-core bosons at half-filling, extending previous studies by including second nearest-neighbor (2NN) interactions.…

Strongly Correlated Electrons · Physics 2025-12-12 Yeimer Zambrano , Aleksey Alekseev , Konrad J. Kapcia , Krzysztof Cichy , Agnieszka Cichy

One of the most important tasks in modern quantum science is to coherently control and entangle many-body systems, and to subsequently use these systems to realize powerful quantum technologies such as quantum-enhanced sensors. However,…

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

A 2D lattice model defined on a triangular lattice with nearest- and next-nearest-neighbor interactions based on the Taylor-Socolar monotile is known to have a limit-periodic ground state. The system reaches that state during a slow quench…

Statistical Mechanics · Physics 2015-04-21 Catherine Marcoux , Travis W. Byington , Zongjin Qian , Patrick Charbonneau , Joshua E. S. Socolar

We uncover a new kind of entropic long range order in finite dimensional spin glasses. We study the link-diluted version of the Edwards-Anderson spin glass model with bimodal couplings (J=+/-1) on a 3D lattice. By using exact reduction…

Disordered Systems and Neural Networks · Physics 2011-02-24 Maria Chiara Angelini , Federico Ricci-Tersenghi

We study the equilibrium dynamics of magnetic moments in the Mott insulating phase of the Hubbard model on the square and triangular lattice. We rewrite the Hubbard interaction in terms of an auxiliary vector field and use a recently…

Strongly Correlated Electrons · Physics 2021-12-16 Sauri Bhattacharyya , Pinaki Majumdar

We study the convergence properties of Glauber dynamics for the random field Ising model (RFIM) with ferromagnetic interactions on finite domains of $\mathbb{Z}^d$, $d \ge 2$. Of particular interest is the Griffiths phase where correlations…

Probability · Mathematics 2024-11-14 Ahmed El Alaoui , Ronen Eldan , Reza Gheissari , Arianna Piana

We present an experimental study of the energy-relaxation in Anderson-insulating indium-oxide films excited far from equilibrium. In particular, we focus on the effects of history on the relaxation of the excess conductance dG. The natural…

Condensed Matter · Physics 2009-11-10 Z. Ovadyahu , M. Pollak

We investigate the dynamic relaxation for SU(2) gauge theory at finite temperatures in (3+1) dimensions. Using the Hybrid Monte Carlo algorithm, we examine the time dependence of the system in the short-time regime. Starting from the…

High Energy Physics - Lattice · Physics 2009-10-31 Andreas Jaster

We report on the computation of the critical point of the deconfinement phase transition, critical indices and the string tension in the compact three dimensional U(1) lattice gauge theory at finite temperatures. The critical indices govern…

High Energy Physics - Lattice · Physics 2014-11-20 Oleg Borisenko , Roberto Fiore , Mario Gravina , Alessandro Papa

In the ordered phase of the 3D Ising model, minority spin clusters are surrounded by a boundary of dual plaquettes. As the temperature is raised, these spin clusters become more numerous, and it is found that eventually their boundaries…

Statistical Mechanics · Physics 2023-05-03 Michael Grady

We explore the relationship between higher-form symmetries and entanglement properties in discrete lattice gauge theories, which can exhibit both topologically ordered phases and higher-form symmetry-protected topological (SPT) phases. Our…

Strongly Correlated Electrons · Physics 2025-01-06 Wen-Tao Xu , Tibor Rakovszky , Michael Knap , Frank Pollmann

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 $\mathbb{Z}_2$…

In order to gain a better understanding of the Ising model in higher dimensions we have made a comparative study of how the boundary, open versus cyclic, of a d-dimensional simple lattice, for d=1,...,5, affects the behaviour of the…

Statistical Mechanics · Physics 2011-01-27 P. H. Lundow , K. Markström

We compute the topological entropy of the toric code models in arbitrary dimension at finite temperature. We find that the critical temperatures for the existence of full quantum (classical) topological entropy correspond to the…

Quantum Physics · Physics 2012-11-27 Dalimil Mazac , Alioscia Hamma

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 propose and analyze a deformation of the 3+1d lattice $\mathbb Z_2$ gauge theory that preserves the non-invertible Wegner duality symmetry at the self-dual point. We identify a frustration-free point along this deformation where there…

Strongly Correlated Electrons · Physics 2026-01-21 Pranay Gorantla , Tzu-Chen Huang

High temperature is usually expected to destroy order: as the Gibbs state approaches the infinite-temperature limit, it becomes an equal-weight ensemble over all states and the system is generically disordered. Recent works showed that…

Strongly Correlated Electrons · Physics 2026-04-22 Po-Shen Hsin , Ryohei Kobayashi
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