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It is shown that gauge theories are most naturally studied via a polar decomposition of the field variable. Gauge transformations may be viewed as those that leave the density invariant but change the phase variable by additive amounts. The…

Other Condensed Matter · Physics 2016-08-31 Girish S. Setlur

We propose a protocol for the scalable quantum simulation of SU($N$)$\times$U(1) lattice gauge theories with alkaline-earth like atoms in optical lattices in both one- and two-dimensional systems. The protocol exploits the combination of…

Quantum Gases · Physics 2024-05-27 Federica Maria Surace , Pierre Fromholz , Francesco Scazza , Marcello Dalmonte

We experimentally study quantum Zeno effects in a parity-time (PT) symmetric cold atom gas periodically coupled to a reservoir. Based on the state-of-the-art control of inter-site couplings of atoms in a momentum lattice, we implement a…

Quantum Gases · Physics 2021-05-26 Tao Chen , Wei Gou , Dizhou Xie , Teng Xiao , Wei Yi , Jun Jing , Bo Yan

According to the quantum Zeno effect, the frequent observations of a system can dramatically slow down its dynamical evolution. We show that the Zeno dynamics is the result of projective measurements among quantum states which are…

Quantum Physics · Physics 2010-02-19 Augusto Smerzi

Quantum simulations of many-body systems offer novel methods for probing the dynamics of the Standard Model and its constituent gauge theories. Extracting low-energy predictions from such simulations rely on formulating…

Quantum Physics · Physics 2025-12-30 Henry Froland , Dorota M. Grabowska , Zhiyao Li

Lattice gauge theory's discretization of spacetime suffers from a drawback in that Lorentz covariance is lost because the axes of the lattice create preferred directions in spacetime. Smaller and smaller lattice spacings decrease the effect…

Mathematical Physics · Physics 2012-11-01 Timothy D. Andersen

We analyze some crucial questions regarding the practical feasibility of quantum simulation for lattice gauge models. Our analysis focuses on two models suitable for the quantum simulation of the Schwinger Hamiltonian, or QED in 1+1…

Quantum Physics · Physics 2014-12-11 Stefan Kühn , J. Ignacio Cirac , Mari-Carmen Bañuls

We propose a new approach to the implementation of quantum gates in which decoherence during the gate operations is strongly reduced. This is achieved by making use of an environment induced quantum Zeno effect that confines the dynamics…

Quantum Physics · Physics 2009-11-06 A. Beige , D. Braun , B. Tregenna , P. L. Knight

Three different manifestations of the quantum Zeno effect are discussed, compared and shown to be physically equivalent. We look at frequent projective measurements, frequent unitary "kicks" and strong continuous coupling. In all these…

Quantum Physics · Physics 2010-01-31 P. Facchi , S. Pascazio

Quantum simulations of the dynamics of QCD have been limited by the complexities of mapping the continuous gauge fields onto quantum computers. By parametrizing the gauge invariant Hilbert space in terms of plaquette degrees of freedom, we…

High Energy Physics - Phenomenology · Physics 2024-08-28 Anthony N. Ciavarella , Christian W. Bauer

Lattice gauge theories, which originated from particle physics in the context of Quantum Chromodynamics (QCD), provide an important intellectual stimulus to further develop quantum information technologies. While one long-term goal is the…

Over the recent years, the relatively young field of quantum simulation of lattice gauge theories - aiming at implementing simulators of gauge theories with quantum platforms, has gone through a rapid development process. It is now of…

Quantum Physics · Physics 2022-01-12 Erez Zohar

Quantum simulation is one of the major applications of quantum devices. In the noisy intermediate-scale quantum era, however, the general quantum simulation is not yet feasible, such as that of lattice gauge theories, which is likely…

Quantum Physics · Physics 2024-04-17 Hiroki Sukeno , Tzu-Chieh Wei

Attempts to improve LGT simulation algorithms by Fourier space preconditioning have been handicapped by the gauge dependence of momenta, familiar from perturbation theory. The continuum theory has a gauge invariant energy-momentum density,…

High Energy Physics - Lattice · Physics 2025-09-04 Herbert Neuberger

Quantum computers offer the possibility to implement lattice gauge theory in Minkowski rather than Euclidean spacetime, thus allowing calculations of processes that evolve in real time. In this work, calculations within SU(2) pure gauge…

High Energy Physics - Lattice · Physics 2022-10-17 Sarmed A Rahman , Randy Lewis , Emanuele Mendicelli , Sarah Powell

Monte Carlo methods have led to profound insights into the strong-coupling behaviour of lattice gauge theories and produced remarkable results such as first-principles computations of hadron masses. Despite tremendous progress over the last…

High Energy Physics - Lattice · Physics 2025-07-15 Anuj Apte , Anthony Ashmore , Clay Cordova , Tzu-Chen Huang

In the present work, we propose a scheme for digital formulation of lattice gauge theories with dynamical fermions in 3+1 dimensions. All interactions are obtained as a stroboscopic sequence of two-body interactions with an auxiliary…

Quantum Physics · Physics 2018-10-25 Julian Bender , Erez Zohar , Alessandro Farace , J. Ignacio Cirac

We analyze the Zeno phenomenon in quantum field theory. The decay of an unstable system can be modified by changing the time interval between successive measurements (or by varying the coupling to an external system that plays the role of…

Quantum Physics · Physics 2017-08-23 P. Facchi , S. Pascazio

Understanding the non-equilibrium dynamics of gauge theories remains a fundamental challenge in high-energy physics. Indeed, most large scale experiments on gauge theories intrinsically rely on very far-from equilibrium dynamics, from…

The prospect of quantum simulating lattice gauge theories opens exciting possibilities for understanding fundamental forms of matter. Here, we show that trapped ions represent a promising platform in this context when simultaneously…