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Related papers: The (2+1)-d U(1) Quantum Link Model Masquerading a…

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The weak coupling loop quantum theory with Abelian gauge group provides us a new perspective to study the weak coupling properties of LQG. In this paper, the weak coupling theory of all dimensional loop quantum gravity is established based…

General Relativity and Quantum Cosmology · Physics 2022-11-17 Gaoping Long , Chun-Yen Lin

Deconfined quantum critical point (DQCP) characterizes the continuous transition beyond Landau-Ginzburg-Wilson paradigm, occurring between two phases that exhibit distinct symmetry breaking. The debate over whether genuine DQCP exists in…

Strongly Correlated Electrons · Physics 2025-11-06 Xuan Zou , Shuai Yin , Zi-Xiang Li , Hong Yao

The zero-temperature properties of the SO(5) bilinear-biquadratic Heisenberg spin chain are investigated by means of a low-energy approach and large scale numerical calculations. In sharp contrast to the spin-1 SO(3) Heisenberg chain, we…

Strongly Correlated Electrons · Physics 2011-05-10 F. Alet , S. Capponi , H. Nonne , P. Lecheminant , I. P. McCulloch

We study the pure SU(3) gauge theory in 2+1 dimensions on the lattice using 't Hooft's twisted boundary conditions to force non-vanishing center flux through the finite volume. In this way we measure the free energy of spacelike center…

High Energy Physics - Lattice · Physics 2010-12-06 Nils Strodthoff , Sam R. Edwards , Lorenz von Smekal

We investigate a non-Abelian SU$(2)$ quantum link model in $2+1$ dimensions on a hexagonal lattice using tensor network methods. We determine the static quark potential for a wide range of bare coupling values and find that the theory is…

High Energy Physics - Lattice · Physics 2026-03-17 Paul Ludwig , Timo Jakobs , Carsten Urbach

We explore theoretically the physics of a collection of two-level systems coupled to a single-mode bosonic field in the non-standard configuration where each (artificial) atom is coupled to both field quadratures of the boson mode. We…

Quantum Physics · Physics 2014-08-05 Alexandre Baksic , Cristiano Ciuti

In this paper we study a 3D lattice spin model of CP$^1$ Schwinger-bosons coupled with dynamical compact U(1) gauge bosons. The model contains two parameters; the gauge coupling and the hopping parameter of CP$^1$ bosons. At large (weak)…

Strongly Correlated Electrons · Physics 2009-11-11 Shunsuke Takashima , Ikuo Ichinose , Tetsuo Matsui

We construct an exactly solvable lattice model for a deconfined quantum critical point (DQCP) in (1+1) dimensions. This DQCP occurs in an unusual setting, namely at the edge of a (2+1) dimensional bosonic symmetry protected topological…

Strongly Correlated Electrons · Physics 2023-02-07 Carolyn Zhang , Michael Levin

We present a precision determination of the critical coupling beta_c for the deconfinement transition in pure SU(2) gauge theory in 2+1 dimensions. This is possible from universality, by intersecting the center vortex free energy as a…

High Energy Physics - Lattice · Physics 2009-11-16 Sam Edwards , Lorenz von Smekal

In the context of the U(1) slave boson theory we derive a critical field theory near the quantum critical point of the Kondo lattice model in two spatial dimensions. First we argue that strong gauge fluctuations in the U(1) slave boson…

Strongly Correlated Electrons · Physics 2009-11-10 Ki-Seok Kim

The spontaneous breaking of non-invertible symmetries can lead to exotic phenomena such as coexistence of order and disorder. Here we explore second-order phase transitions in 1d spin chains between two phases that correspond to distinct…

Strongly Correlated Electrons · Physics 2025-12-12 Yu-Hsueh Chen , Tarun Grover

Confinement/deconfinement, captivating attributes of high-energy elementary particles, have recently garnered wide attention in quantum simulations based on cold atoms. Yet, the partial confinement, an intermediate state between the…

Quantum Gases · Physics 2025-04-29 Zheng Tang , Fei Zhu , Yi-Fan Luo , Wei Zheng , Li Chen

We introduce a 3D compact U(1) lattice gauge theory having nonlocal interactions in the temporal direction, and study its phase structure. The model is relevant for the compact QED$_3$ and strongly correlated electron systems like the t-J…

High Energy Physics - Theory · Physics 2016-09-06 Gaku Arakawa , Ikuo Ichinose , Tetsuo Matsui , Kazuhiko Sakakibara

Strongly coupled confining models with a first order phase transition present an interesting DM candidate. Near the critical temperature these models are strongly non-perturbative, and the critical bubble nucleation rate has so far only…

High Energy Physics - Lattice · Physics 2025-01-30 Kari Rummukainen , Riikka Seppä , David J. Weir

We highlight the exotic quantum criticality of quasi-two-dimensional single-component fermions at half-filling that are minimally coupled to a dynamical Ising gauge theory. With the numerical matrix product state based infinite density…

Strongly Correlated Electrons · Physics 2024-11-26 Umberto Borla , Snir Gazit , Sergej Moroz

Quantum link models (QLMs) have attracted a lot of attention in recent times as a generalization of Wilson's lattice gauge theories (LGT), and are particularly suitable for realization on quantum simulators and computers. These models are…

High Energy Physics - Lattice · Physics 2022-11-10 Debasish Banerjee , Emilie Huffman , Lukas Rammelmüller

The deconfined quantum critical point (DQCP) was originally proposed as a continuous transition between two spontaneous symmetry breaking phases in 2D spin-1/2 systems. While great efforts have been spent on the DQCP for 2D systems, both…

Strongly Correlated Electrons · Physics 2019-09-23 Rui-Zhen Huang , Da-Chuan Lu , Yi-Zhuang You , Zi Yang Meng , Tao Xiang

Cold atoms have become a powerful platform for quantum-simulating lattice gauge theories in higher spatial dimensions. However, such realizations have been restricted to the lowest possible truncations of the gauge field, which limit the…

The QED$_3$-Gross-Neveu model is a (2+1)-dimensional U(1) gauge theory involving Dirac fermions and a critical real scalar field. This theory has recently been argued to represent a dual description of the deconfined quantum critical point…

Strongly Correlated Electrons · Physics 2018-10-03 Bernhard Ihrig , Lukas Janssen , Luminita N. Mihaila , Michael M. Scherer

We consider a SU(2) lattice gauge theory on the square lattice, with a single fundamental complex fermion and a single fundamental complex boson on each lattice site. Projective symmetries of the gauge-charged fermions are chosen so that…

Strongly Correlated Electrons · Physics 2024-07-03 Maine Christos , Henry Shackleton , Subir Sachdev , Zhu-Xi Luo