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We present a theoretical study of quantum simulations of $(1+1)$-dimensional U(1) lattice gauge-Higgs models, which contain a compact U(1) gauge field and a Higgs matter field, by using ultra-cold bosonic gases on a one-dimensional optical…

Quantum Gases · Physics 2017-06-01 Yoshihito Kuno , Shinya Sakane , Kenichi Kasamatsu , Ikuo Ichinose , Tetsuo Matsui

We present a quantum simulation scheme for the Abelian-Higgs lattice gauge theory using ultracold bosonic atoms in optical lattices. The model contains both gauge and Higgs scalar fields, and exhibits interesting phases related to…

Quantum Physics · Physics 2019-11-12 Daniel González-Cuadra , Erez Zohar , J. Ignacio Cirac

Recently, the possibility of quantum simulation of dynamical gauge fields was pointed out by using a system of cold atoms trapped on each link in an optical lattice. However, to implement exact local gauge invariance, fine-tuning the…

Quantum Physics · Physics 2015-06-12 Kenichi Kasamatsu , Ikuo Ichinose , Tetsuo Matsui

Lattice gauge theory has provided a crucial non-perturbative method in studying canonical models in high-energy physics such as quantum chromodynamics. Among other models of lattice gauge theory, the lattice gauge-Higgs model is a quite…

Quantum Gases · Physics 2015-06-08 Yoshihito Kuno , Kenichi Kasamatsu , Yoshiro Takahashi , Ikuo Ichinose , Tetsuo Matsui

In the previous works, we proposed atomic quantum simulations of the U(1) gauge-Higgs model by ultra-cold Bose gases. By studying extended Bose-Hubbard models (EBHMs) including long-range repulsions, we clarified the locations of the…

Quantum Gases · Physics 2019-07-31 Jonghoon Park , Yoshihito Kuno , Ikuo Ichinose

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…

Lattice gauge theories are fundamental to our understanding of high-energy physics. Nevertheless, the search for suitable platforms for their quantum simulation has proven difficult. We show that the Abelian Higgs model in 1+1 dimensions is…

High Energy Physics - Lattice · Physics 2018-12-05 Jin Zhang , J. Unmuth-Yockey , J. Zeiher , A. Bazavov , S. -W. Tsai , Y. Meurice

We connect explicitly the classical $O(2)$ model in 1+1 dimensions, a model sharing important features with $U(1)$ lattice gauge theory, to physical models potentially implementable on optical lattices and evolving at physical time. Using…

High Energy Physics - Lattice · Physics 2015-02-11 Haiyuan Zou , Yuzhi Liu , Chen-Yen Lai , J. Unmuth-Yockey , Li-Ping Yang , A. Bazavov , Z. Y. Xie , T. Xiang , S. Chandrasekharan , S. -W. Tsai , Y. Meurice

We study the phase structure of the 3D nonlocal compact U(1) lattice gauge theory coupled with a Higgs field by means of Monte-Carlo simulations. The nonlocal interactions among gauge variables are along the temporal direction and mimic the…

High Energy Physics - Lattice · Physics 2009-11-11 Shunsuke Takashima , Ikuo Ichinose , Tetsuo Matsui , Kazuhiko Sakakibara

We show how to implement a Rydberg-atom quantum simulator to study the non-equilibrium dynamics of an Abelian (1+1)-D lattice gauge theory. The implementation locally codifies the degrees of freedom of a $\mathbf{Z}_3$ gauge field, once the…

Quantum Gases · Physics 2020-03-18 Simone Notarnicola , Mario Collura , Simone Montangero

We present a quantum algorithm for digital quantum simulation of the $\mathbb{Z}_2$ gauge-Higgs model on a $3\times 3$ lattice, which is based on Trotter decomposition, the quantum adiabatic algorithm and its circuit realization. Then we…

High Energy Physics - Lattice · Physics 2022-04-06 Yiming Ding , Xiaopeng Cui , Yu Shi

The stated overarching goal of the highly active field of quantum simulation of high-energy physics (HEP) is to achieve the capability to study \textit{ab-initio} real-time microscopic dynamics of $3+1$D quantum chromodynamics (QCD).…

Quantum Gases · Physics 2026-01-09 Simone Orlando , Guo-Xian Su , Bing Yang , Jad C. Halimeh

Can high energy physics be simulated by low-energy, non-relativistic, many-body systems, such as ultracold atoms? Such ultracold atomic systems lack the type of symmetries and dynamical properties of high energy physics models: in…

Quantum Physics · Physics 2015-12-29 Erez Zohar , J. Ignacio Cirac , Benni Reznik

A major driver of quantum-simulator technology is the prospect of probing high-energy phenomena in synthetic quantum matter setups at a high level of control and tunability. Here, we propose an experimentally feasible realization of a…

Quantum Gases · Physics 2025-07-22 Jesse Osborne , Ian P. McCulloch , Bing Yang , Philipp Hauke , Jad C. Halimeh

We present a gauge-invariant effective action for the Abelian-Higgs model in 1+1 dimensions. It is constructed by integrating out the gauge field and then using the hopping parameter expansion. The latter is tested with Monte Carlo…

High Energy Physics - Lattice · Physics 2015-12-08 Alexei Bazavov , Yannick Meurice , Shan-Wen Tsai , Judah Unmuth-Yockey , Jin Zhang

Recent experimental realizations of the lattice Schwinger model [Nature 587, 392 (2020) and Science 367, 1128 (2020)] open a door for quantum simulation of elementary particles and their interactions using ultracold atoms, in which the…

Quantum Gases · Physics 2023-03-03 Chunping Gao , Jinghu Liu , Maolin Chang , Han Pu , Li Chen

Simulating $\mathrm{U(1)}$ quantum gauge theories with spatial dimension greater than one is of great physical significance yet has not been achieved experimentally. Here we propose a simple realization of $\mathrm{U(1)}$ gauge theory on…

Quantum Physics · Physics 2025-05-15 Zheng Zhou , Zheng Yan , Changle Liu , Yan Chen , Xue-Feng Zhang

Lattice gauge theories describe fundamental phenomena in nature, but calculating their real-time dynamics on classical computers is notoriously difficult. In a recent publication [Nature 534, 516 (2016)], we proposed and experimentally…

Lattice gauge theories are fundamental to various fields, including particle physics, condensed matter, and quantum information theory. Recent progress in the control of quantum systems allows for studying Abelian lattice gauge theories in…

We study the non-compact version of the U(1) gauge-Higgs model in three dimensions for $m_H = 30 GeV.$ We found that, using this formulation, rather modest lattices approach quite well the infinite volume behaviour.The phase transition is…

High Energy Physics - Lattice · Physics 2011-09-13 P. Dimopoulos , K. Farakos , G. Koutsoumbas
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