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Quantum spin ice represents a paradigmatic example on how the physics of frustrated magnets is related to gauge theories. In the present work we address the problem of approximately realizing quantum spin ice in two dimensions with cold…

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

Non-abelian gauge theories underlie our understanding of fundamental forces in nature, and developing tailored quantum hardware and algorithms to simulate them is an outstanding challenge in the rapidly evolving field of quantum simulation.…

Quantum Physics · Physics 2023-01-11 Daniel González-Cuadra , Torsten V. Zache , Jose Carrasco , Barbara Kraus , Peter Zoller

The phase diagram and critical behavior of scalar quantum electrodynamics are investigated using lattice gauge theory techniques. The lattice action fixes the length of the scalar (``Higgs'') field and treats the gauge field as non-compact.…

High Energy Physics - Lattice · Physics 2019-08-17 M. Baig , H. Fort , JB Kogut , S. Kim

We discuss in detail the implementation of an open-system quantum simulator with Rydberg states of neutral atoms held in an optical lattice. Our scheme allows one to realize both coherent as well as dissipative dynamics of complex spin…

Quantum Physics · Physics 2015-03-19 H. Weimer , M. Müller , H. P. Büchler , I. Lesanovsky

Classical simulation of quantum systems plays an important role in the study of many-body phenomena and in the benchmarking and verification of quantum technologies. Exact simulation is often limited to small systems because the dimension…

Quantum Physics · Physics 2024-06-04 Dominik S. Wild , Sabina Drăgoi , Corbin McElhanney , Jonathan Wurtz , Sheng-Tao Wang

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

Recent advances in quantum simulations have opened access to the real-time dynamics of lattice gauge theories, providing a new setting to explore how quantum criticality influences thermalization and ergodicity far from equilibrium. Using…

There has been a growing interest in realizing quantum simulators for physical systems where perturbative methods are ineffective. The scalability and flexibility of circuit quantum electrodynamics (cQED) make it a promising platform to…

Programmable arrays of neutral Rydberg atoms are one of the leading platforms today for scalable quantum simulation and computation. In these systems, the dipole-dipole interactions between the individual atoms, or qubits, typically result…

Quantum Gases · Physics 2026-04-15 Rhine Samajdar , Mikhail D. Lukin , Valentin Walther

Simulating quantum dynamics of lattice gauge theories (LGTs) is an exciting frontier in quantum science. Programmable quantum simulators based on neutral atom arrays are a promising approach to achieve this goal, since strong Rydberg…

Quantum Physics · Physics 2024-08-07 Johannes Feldmeier , Nishad Maskara , Nazlı Uğur Köylüoğlu , Mikhail D. Lukin

We study the Abelian Higgs Model using an improved form of the action in the scalar sector. The subleading corrections are carefully analysed and the connection between lattice and continuous parameters is worked out. The simulation shows a…

High Energy Physics - Lattice · Physics 2009-01-07 P. Dimopoulos , K. Farakos , G. Koutsoumbas

Quantum link models provide an alternative non-perturbative formulation of Abelian and non-Abelian lattice gauge theories. They are ideally suited for quantum simulation, for example, using ultracold atoms in an optical lattice. This holds…

High Energy Physics - Theory · Physics 2015-06-23 Uwe-Jens Wiese

Quantum dimer models are known to host topological quantum spin liquid phases, and it has recently become possible to simulate such models with Rydberg atoms trapped in arrays of optical tweezers. Here, we present large-scale quantum Monte…

Strongly Correlated Electrons · Physics 2022-11-08 Zheng Yan , Rhine Samajdar , Yan-Cheng Wang , Subir Sachdev , Zi Yang Meng

In this paper, we study theoretically atomic quantum simulations of a U(1) gauge-Higgs model on a three-dimensional (3D) spatial lattice by using an extended Bose-Hubbard model with intersite repulsions on a 3D optical lattice. Here, the…

Quantum Gases · Physics 2016-12-30 Yoshihito Kuno , Shinya Sakane , Kenichi Kasamatsu , Ikuo Ichinose , Tetsuo Matsui

In condensed matter, it is often difficult to untangle the effects of competing interactions, and this is especially problematic for superconductors. Quantum simulators may help: here we show how exploiting the properties of highly excited…

Superconductivity · Physics 2012-11-30 J. P. Hague , C. MacCormick

Simulating real-time evolution in theories of fundamental interactions represents one of the central challenges in contemporary theoretical physics. Cold-atom platforms stand as promising candidates to realize quantum simulations of…

Quantum Gases · Physics 2021-06-11 Federica Maria Surace , Alessio Lerose

We address the technical challenges when performing quantum information experiments with ultracold Rydberg atoms in lattice geometries. We discuss the following key aspects: (i) The coherent manipulation of atomic ground states, (ii) the…

Atomic Physics · Physics 2017-01-04 J. B. Naber , J. Vos , R. J. Rengelink , R. J. Nusselder , D. Davtyan

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 discuss monitoring the time evolution of an analog quantum simulator via a quantum non-demolition (QND) coupling to an auxiliary `clock' qubit. The QND variable of interest is the `energy' of the quantum many-body system, represented by…

Quantum Physics · Physics 2020-10-14 Denis V. Vasilyev , Andrey Grankin , Mikhail A. Baranov , Lukas M. Sieberer , Peter Zoller