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We explore the compact U(1) lattice gauge theory with staggered fermions and gauge field action -\sum_P [\beta \cos(\Theta_P) + \gamma \cos(2\Theta_P)], both for dynamical fermions and in the quenched approximation. (\Theta_P denotes the…

High Energy Physics - Lattice · Physics 2009-10-30 J. Cox , W. Franzki , J. Jersák , C. B. Lang , T. Neuhaus

We study finite two dimensional spin lattices with definite geometry (spin billiards) demonstrating the display of collective integrable or chaotic dynamics depending on their shape. We show that such systems can be quantum simulated by…

Quantum Physics · Physics 2015-05-13 Simone Montangero , Diego Frustaglia , Tommaso Calarco , Rosario Fazio

We numerically analyze the feasibility of a platform-neutral, general strategy to perform quantum simulations of fermionic lattice field theories under open boundary conditions. The digital quantum simulator requires solely one- and…

An effective quantum field theory description of graphene in the ultra-relativistic regime is given by reduced QED aka. pseudo QED aka. mixed-dimensional QED. It has been speculated in the literature that reduced QED constitutes an example…

High Energy Physics - Theory · Physics 2019-03-06 D. Dudal , A. J. Mizher , P. Pais

Simulating non-equilibrium phenomena in strongly-interacting quantum many-body systems, including thermalization, is a promising application of near-term and future quantum computation. By performing experiments on a digital quantum…

Quantum Physics · Physics 2025-09-19 Niklas Mueller , Tianyi Wang , Or Katz , Zohreh Davoudi , Marko Cetina

The central idea of this review is to consider quantum field theory models relevant for particle physics and replace the fermionic matter in these models by a bosonic one. This is mostly motivated by the fact that bosons are more…

We examine the dynamics of quarks and gauge fields in the lowest energy states in the QED and QCD interactions by combining Schwinger's longitudinal confinement in (1+1)D with Polyakov's transverse confinement in (2+1)D in a ``stretch…

High Energy Physics - Phenomenology · Physics 2023-12-06 Cheuk-Yin Wong , Andrew V. Koshelkin

In this article, we review some of the recent developments towards the future goal of quantum computing or quantum simulating lattice QCD. This includes a novel theoretical framework developed for non-Abelian gauge theories that is the…

High Energy Physics - Lattice · Physics 2021-07-21 Indrakshi Raychowdhury

We propose a digital quantum simulator of non-Abelian pure-gauge models with a superconducting circuit setup. Within the framework of quantum link models, we build a minimal instance of a pure $SU(2)$ gauge theory, using triangular…

Quantum Physics · Physics 2015-12-14 A. Mezzacapo , E. Rico , C. Sabín , I. L. Egusquiza , L. Lamata , E. Solano

We study experimentally demonstrated single-electron ${}^{12}$C CNT QD with significant spin-orbit interaction as a scalable quantum computer candidate. Both electron spin and orbital angular momentum can serve as a logical qubit for…

Quantum Physics · Physics 2009-12-21 Magdalena Stobińska , Gerard J. Milburn , Leszek Stobiński

We describe here a quantum simulator of extended bipartite Hubbard model with broken sublattice symmetry. The simulator consists of a structured lateral gate confining two dimensional electrons in a quantum well into artificial minima…

Strongly Correlated Electrons · Physics 2022-05-18 Yasser Saleem , Amintor Dusko , Moritz Cygorek , Marek Korkusinski , Pawel Hawrylak

We examine the problem of simulating lattice gauge theories on a universal quantum computer. The basic strategy of our approach is to transcribe lattice gauge theories in the Hamiltonian formulation into a Hamiltonian involving only Pauli…

Quantum Physics · Physics 2009-11-11 Tim Byrnes , Yoshihisa Yamamoto

We perform digital quantum simulation, using a classical simulator, to study screening and confinement in a gauge theory with a topological term, focusing on ($1+1$)-dimensional quantum electrodynamics (Schwinger model) with a theta term.…

High Energy Physics - Lattice · Physics 2022-01-12 Masazumi Honda , Etsuko Itou , Yuta Kikuchi , Lento Nagano , Takuya Okuda

We present a scheme for simulating relativistic quantum physics in circuit quantum electrodynamics. By using three classical microwave drives, we show that a superconducting qubit strongly-coupled to a resonator field mode can be used to…

Quantum Physics · Physics 2013-05-20 J. S. Pedernales , R. Di Candia , D. Ballester , E. Solano

Tools necessary for quantum simulations of $1+1$ dimensional quantum chromodynamics are developed. When formulated in axial gauge and with two flavors of quarks, this system requires 12 qubits per spatial site with the gauge fields included…

We report on a result on quantum electrodynamics on a three dimensional Euclidean spacetime. The model is formulated on a toroidal lattice with unit volume and variable lattice spacing. The result is that the renormalized partition function…

Mathematical Physics · Physics 2022-05-04 J. Dimock

The perspectives of numerical simulations in supersymmetric quantum field theories with vector-like gauge symmetries are discussed. A numerical simulation algorithm for SU(2) gauge theory with gluinos is studied and the first results on the…

High Energy Physics - Lattice · Physics 2009-10-28 I. Montvay

We derive a representation for a lattice U(1) gauge theory with exponential convergence in the number of states used to represent each lattice site that is applicable at all values of the coupling. At large coupling, this representation is…

High Energy Physics - Phenomenology · Physics 2021-11-17 Christian W. Bauer , Dorota M. Grabowska

We present a scheme that produces a strong U(1)-like gauge field on cold atoms confined in a two-dimensional square optical lattice. Our proposal relies on two essential features, a long-lived metastable excited state that exists for…

Quantum Gases · Physics 2014-12-19 Fabrice Gerbier , Jean Dalibard

We discuss a general framework for the realization of a family of abelian lattice gauge theories, i.e., link models or gauge magnets, in optical lattices. We analyze the properties of these models that make them suitable to quantum…

Quantum Gases · Physics 2013-02-08 L. Tagliacozzo , A. Celi , A. Zamora , M. Lewenstein
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