The non-Hermitian skin effect, anomalous localization of an extensive number of eigenstates induced by nonreciprocal dissipation, plays a pivotal role in non-Hermitian topology and significantly influences the
In this review article, we aim at presenting an introduction to the rich and strongly active field of many-body localization (MBL) in isolated, interacting quantum systems in the presence of disorder. This topic has been tremendously explored over the past few years, covering different areas of...
It is the common wisdom that time evolution of a many-body system leads to thermalization and washes away quantum correlations. But one class of system—referred to as many-body localized—defy this expectation. It is the common wisdom that time evolutio
The problem of many-body interactions—or, equivalently, many degrees of freedom—can be tackled from different points of view, since it appears in many different physical and chemical contexts. Here, in particular, we are going to face it from a chemica
In other words, the general description of the properties of classical many-particle systems (e.g., nanosystems) can be done reliably on the basis of molecular dynamics calculations without using “simple models” (Section 2.5.3.1) or other simplifying assumptions (Fig. 2.8). We already ...
We rigorously establish the robustness of this effect by revealing a bulk-boundary correspondence mediated by the point gap topology within the many-body energy spectrum. Our findings underscore the existence of non-Hermitian topological phases in collective excitations of many-body interacting systems....
As an aside let me remark that a projective representation of a symmetry group of a quantum system may arise either as a result of nontrivial global topology of the symmetry group, or as a consequence of a central charge in the Lie algebra as above. For semi-simple Lie algebras the centr...