Quantum simulation

A quantum simulation scheme and equilibration/thermalization physics of the Sachdev-Ye-Kitaev (SYK) model

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 …

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 …

Eichtheorien im Quantensimulator

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 …

Observation of microscopic confinement dynamics by a tunable topological $\theta$-angle

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 …

A cavity quantum electrodynamics implementation of the Sachdev--Ye--Kitaev model

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 …

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 …

Analog quantum simulation and universal dynamics of the Sachdev-Ye-Kitaev model

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 …

Engineering random spin models with atoms in a high-finesse cavity

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 …

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 …

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 …