Currently, there are intense experimental efforts to realize lattice gauge theories in quantum simulators. Except for specific models, however, practical quantum simulators can never be fine-tuned to perfect local gauge invariance. There is thus a …
In recent years, the infinite time-evolution block decimation (iTEBD) method has been demonstrated to be one of the most efficient and powerful numerical schemes for time-evolution in one-dimensional quantum many-body systems. However, a major …
In the fundamental laws of physics, gauge fields mediate the interaction between charged particles. An example is quantum electrodynamics -- the theory of electrons interacting with the electromagnetic field -- based on $U(1)$ gauge symmetry. Solving …
A fundamental challenge in digital quantum simulation (DQS) is the control of an inherent error, which appears when discretizing the time evolution of a quantum many-body system as a sequence of quantum gates, called Trotterization. Here, we show …
When a system thermalizes it loses all memory of its initialconditions. Even within a closed quantum system, subsystemsusually thermalize using the rest of the system as a heat bath.Exceptions to quantum thermalization have been observed,but …
The static and dynamic properties of many-body quantum systems are often well described by collective excitations, known as quasiparticles. Engineered quantum systems offer the opportunity to study such emergent phenomena in a precisely controlled …
We propose a simple scheme for tomography of band-insulating states in one- and two-dimensional optical lattices with two sublattice states. In particular, the scheme maps out the Berry curvature in the entire Brillouin zone and extracts topological …
The key to explaining and controlling a range of quantum phenom-ena is to study how information propagates around many-body sys-tems. Quantum dynamics can be described by particle-like carriers ofinformation that emerge in the collective behaviour of …
Various fundamental phenomena of strongly correlated quantum systems such as high-$T_c$ superconductivity, the fractional quantum-Hall effect and quark confinement are still awaiting a universally accepted explanation. The main obstacle is the …