Lattice gauge theory

Symmetry-protection Zeno phase transition in monitored lattice gauge theories

Quantum measurements profoundly influence system dynamics. They lead to complex nonequilibrium phenomena like the quantum Zeno effect, and they can be used for mitigating errors in quantum simulations. Such an ability is particularly valuable for …

Quantum Computation of Thermal Averages for a Non-Abelian D4 Lattice Gauge Theory via Quantum Metropolis Sampling

In this paper, we show the application of the Quantum Metropolis Sampling (QMS) algorithm to a toy gauge theory with discrete non-Abelian gauge group $D_4$ in (2+1)-dimensions, discussing in general how some components of hybrid quantum-classical …

Variational quantum simulation of U(1) lattice gauge theories with qudit systems

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 table-top …

Many-body magic via Pauli–Markov chains — from criticality to gauge theories

We introduce a method to measure many-body magic in quantum systems based on a statistical exploration of Pauli strings via Markov chains. We demonstrate that sampling such Pauli--Markov chains gives ample flexibility in terms of partitions where to …

Spin-$S$ $U(1)$ Quantum Link Models with Dynamical Matter on a Quantum Simulator

Quantum link models (QLMs) offer the realistic prospect for the practical implementation of lattice quantum electrodynamics (QED) on modern quantum simulators, and they provide a venue for exploring various nonergodic phenomena relevant to quantum …

Implementing a $\mathbb{Z}_2$ Lattice Gauge Theory in a Digital Quantum Simulator

Digital quantum simulators provide a table-top platform for addressing salient questions in particle, nuclear, and condensed-matter physics. A particularly rewarding target is given by lattice gauge theories (LGTs). Their constituents, e.g., charged …

Entanglement Witnessing for Lattice Gauge Theories

Entanglement is assuming a central role in modern quantum many-body physics. Yet, for lattice gauge theories its certification remains extremely challenging. A key difficulty stems from the local gauge constraints underlying the gauge theory, which …

Quantum Hall and Synthetic Magnetic-Field Effects in Ultra-Cold Atomic Systems

In this Chapter, we give a brief review of the state of the art of theoretical and experimental studies of synthetic magnetic fields and quantum Hall effects in ultracold atomic gases. We focus on integer, spin, and fractional Hall effects, indicate …

Stabilizing Gauge Theories in Quantum Simulators: A Brief Review

Quantum simulation is at the heart of the ongoing ''second'' quantum revolution, with various synthetic quantum matter platforms realizing evermore exotic condensed matter and particle physics phenomena at high levels of precision and control. The …

Tuning the Topological $\theta$-Angle in Cold-Atom Quantum Simulators of Gauge Theories

The topological $\theta$-angle in gauge theories engenders a series of fundamental phenomena, including violations of charge-parity (CP) symmetry, dynamical topological transitions, and confinement--deconfinement transitions. At the same time, it …