Arrangör: Fysikum, Stockholm University Zoom: Shall not be streamed online Kontakt: Mária Zelenayová No registration required
Abstract:
In Hermitian systems, there is one type of mode localized at the boundary, known as a boundary mode. In certain materials, such modes can be protected by the inherent properties of the system, referred to as the system’s topology. In non-Hermitian systems, however, there are two distinct types of boundary modes. The first arises from bulk states that accumulate at one boundary of the system—a phenomenon with no counterpart in Hermitian systems. The second is a non-Hermitian analog of the conventional Hermitian boundary mode. Crucially, the interplay between these two flavors gives rise to several localization phenomena absent in Hermitian systems, which we address in the first part of this thesis. Moreover, non-Hermitian systems naturally arise in systems with dissipation, known as open quantum systems. A well- known description of such systems is provided by the Lindblad master equation, in which the system’s dynamics is governed by the Liouvillian. In the dynamics of dissipative systems, the individual roles of the two flavors of boundary modes is less clear, and we address this question in the second part of this thesis.
