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We discuss U(1) lattice gauge theory models based on a modified Villain formulation of the gauge action, which allows coupling to bosonic electric and magnetic matter. The formulation enjoys a duality which maps electric and magnetic…

高能物理 - 理论 · 物理学 2025-09-19 Mariia Anosova , Christof Gattringer , Nabil Iqbal , Tin Sulejmanpasic

We study the ground-state phase diagram of a one-dimensional $\mathbb{Z}_2$ lattice gauge theory coupled to soft-core bosonic matter at unit filling, inspired by the Higgs sector of the standard model. Through a combination of analytical…

量子气体 · 物理学 2025-03-07 Alexander Schuckert , Stefan Kühn , Kevin C. Smith , Eleanor Crane , Steven M. Girvin

Under the perspective of realizing analog quantum simulations of lattice gauge theories, ladder geometries offer an intriguing playground, relevant for ultracold atom experiments. Here, we investigate Hamiltonian lattice gauge theories…

量子物理 · 物理学 2021-02-15 Jens Nyhegn , Chia-Min Chung , Michele Burrello

Lattice gauge theories are a powerful language to theoretically describe a variety of strongly correlated systems, including frustrated magnets, high-$T_c$ superconductors, and topological phases. However, in many cases gauge fields couple…

强关联电子 · 物理学 2017-11-07 Christian Prosko , Shu-Ping Lee , Joseph Maciejko

Gauge theories are of paramount importance in our understanding of fundamental constituents of matter and their interactions. However, the complete characterization of their phase diagrams and the full understanding of non-perturbative…

高能物理 - 格点 · 物理学 2021-06-24 Giuseppe Magnifico , Timo Felser , Pietro Silvi , Simone Montangero

Strongly-coupled gauge theories are an important ingredient in the construction of many extensions of the standard model, particularly for models of electroweak symmetry breaking in which the Higgs boson is a composite object. There is a…

高能物理 - 格点 · 物理学 2012-05-22 Ethan T. Neil

With the advent of quantum simulators, exploring exotic collective phenomena in lattice models with local symmetries and unconventional geometries is at reach of near-term experiments. Motivated by recent progress in this direction, we…

强关联电子 · 物理学 2026-03-05 Enrico C. Domanti , Alejandro Bermudez

We connect a family of gauge theories (Maxwell theories with a magnetoelectric coupling $\theta = 2 \pi k, k \in \mathbb{Z}$) to the family of 3D topological lattice models introduced by Walker and Wang. In particular, we show that the…

强关联电子 · 物理学 2015-06-19 C. W. von Keyserlingk , F. J. Burnell

Gapped two-dimensional gauge theories with massless fermions generically have rich vacuum structures consisting of many degenerate vacua related by the action of topological line operators. The algebra of such operators has been used to…

高能物理 - 理论 · 物理学 2026-01-26 Ross Dempsey , Anna-Maria E. Glück , Silviu S. Pufu , Benjamin T. Søgaard

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.…

强关联电子 · 物理学 2025-12-12 Yeimer Zambrano , Aleksey Alekseev , Konrad J. Kapcia , Krzysztof Cichy , Agnieszka Cichy

We investigate a model of a U(1)-Higgs theory on the lattice with compact gauge fields but completely suppressed (elementary) monopoles. We study the model at two values of the quartic Higgs self-coupling, a strong coupling, $\lambda =…

高能物理 - 格点 · 物理学 2007-05-23 Balasubramanian Krishnan , U. M. Heller , V. K. Mitrjushkin , M. Mueller-Preussker

We calculate the properties of a one-dimensional $Z_2$ lattice gauge theory in different Gauss law sectors, corresponding to different configurations of static charges set by the orientations of the gauge spins. Importantly, in quantum…

量子气体 · 物理学 2024-09-20 Vaibhav Sharma , Erich J Mueller

Recent theoretical studies of various strongly-correlated systems in condensed matter physics reveal that the lattice gauge theory(LGT) developed in high-energy physics is quite a useful tool to understand physics of these systems.…

强关联电子 · 物理学 2015-06-22 Ikuo Ichinose , Tetsuo Matsui

Fracton theories possess exponentially degenerate ground states, excitations with restricted mobility, and nontopological higher-form symmetries. This paper shows that such theories can be defined on arbitrary spatial lattices in three…

强关联电子 · 物理学 2020-03-10 Djordje Radicevic

The phase diagram of five-dimensional SU(2) gauge theories is explored using Monte Carlo simulations of the theory discretized on a Euclidean lattice using the Wilson plaquette action and periodic boundary conditions. We simulate…

高能物理 - 格点 · 物理学 2015-05-30 Francesco Knechtli , Magdalena Luz , Antonio Rago

Gauge theories with matter fields in various representations play an important role in different branches of physics. Recently, it was proposed that several aspects of the interesting pseudogap phase of cuprate superconductors near optimal…

We investigate the finite-density phase diagram of a non-abelian SU(2) lattice gauge theory in (1+1)-dimensions using tensor network methods. We numerically characterise the phase diagram as a function of the matter filling and of the…

Lattice gauge theories are fundamental to such distinct fields as particle physics, condensed matter, and quantum information science. Their local symmetries enforce the charge conservation observed in the laws of physics. Impressive…

介观与纳米尺度物理 · 物理学 2022-06-15 Hannes Riechert , Jad C. Halimeh , Valentin Kasper , Landry Bretheau , Erez Zohar , Philipp Hauke , Fred Jendrzejewski

It is now widely recognized that the toric code is a pure gauge-theory model governed by a projective Hamiltonian with topological orders. In this work, we extend the interplay between quantum information system and gauge-theory model from…

统计力学 · 物理学 2023-08-09 Yoshihito Kuno , Ikuo Ichinose

We study the three-dimensional (3D) compact U(1) lattice gauge theory coupled with $N$-flavor Higgs fields by means of the Monte Carlo simulations. This model is relevant to multi-component superconductors, antiferromagnetic spin systems in…

高能物理 - 格点 · 物理学 2009-10-26 T. Ono , S. Doi , Y. Hori , I. Ichinose , T. Matsui
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