The topological properties of an object, associated with an integer called the topological
invariant, are global features that cannot change continuously but only through abrupt …

Originating from the studies of two-dimensional condensed-matter states, the concept of
topological order has recently been expanded to other fields of physics and engineering …

Rapidly growing demands for fast information processing have launched a race for creating
compact and highly efficient optical devices that can reliably transmit signals without losses …

Non-Hermiticity significantly enriches the properties of topological models, leading to exotic
features such as the non-Hermitian skin effects and non-Bloch bulk-boundary …

The discovery of topological phases in non-Hermitian open classical and quantum systems
challenges our current understanding of topological order. Non-Hermitian systems exhibit …

The topological protection of wave transport, originally observed in the context of the
quantum Hall effect in two-dimensional electron gases, has been shown to apply broadly to …

In the field of quantum simulation of condensed matter phenomena by artificially
engineering the Hamiltonian of an atomic, molecular or optical system, the concept of …

Our world, of course, changed in many other ways as well since the publication of the first
edition. The global pandemic impacted all areas of society and will probably transform how …

The physics of a photonic structure is commonly described in terms of its apparent geometric
dimensionality. On the other hand, with the concept of synthetic dimension, it is in fact …

Topological materials have become the focus of intense research in recent years, since they
exhibit fundamentally new physical phenomena with potential applications for novel devices …