The quest for a quantum theory of gravity has led to the discovery of quantum many-body systems that are dual to gravitational models with quantum characteristics. Amongst these the Sachdev-Ye-Kitaev (SYK) model has received tremendous research …

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 …

Gauge theories form the theoretical foundation of our understanding of many fields of science, in particular elementary particle physics and nuclear physics. They are, however, extremely difficult to treat with conventional methods such as analytical …

Recent advancements in fabrication techniques have enabled unprecedented clean interfaces and gate tunability in semiconductor-superconductor heterostructures. Inspired by these developments, we propose protocols to realize Thouless quantum pumping …

The topological $\theta$-angle is central to the understanding of a plethora of phenomena in condensed matter and high-energy physics such as the strong CP problem, dynamical quantum topological phase transitions, and the confinement--deconfinement …

The search for a quantum theory of gravity has led to the discovery of quantum many-body systems that are dual to gravitational models with quantum properties. The perhaps most famous of these systems is the Sachdev-Ye-Kitaev (SYK) model. It features …

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 …

The Sachdev-Ye-Kitaev (SYK) model [[1](#1),[2](#2),[3](#3)] describes a strongly-correlated quantum many-body system with all-to-all disordered interactions. From the condensed-matter perspective, it provides a phenomenological description of strange …

All-to-all interacting, disordered quantum many-body models have a wide range of applications across disciplines, from spin glasses in condensed-matter physics, over holographic duality in high-energy physics, to annealing algorithms in quantum …

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 …

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