A review is given on the foundations and applications of non-Hermitian classical and
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …

We study relaxation times, also called mixing times, of quantum many-body systems
described by a Lindblad master equation. We in particular study the scaling of the spectral …

We show for generic quantum non-Hermitian tight-binding models that relaxation timescales
of local observables are not controlled by the localization length ξ loc associated with the …

The advancement of quantum simulators motivates the development of a theoretical
framework to assist with efficient state preparation in quantum many-body systems …

Open quantum systems weakly coupled to the environment are modeled by completely
positive, trace preserving semigroups of linear maps. The generators of such evolutions are …

We propose the following definition of topological quantum phases valid for mixed states:
two states are in the same phase if there exists a time independent, fast and local …

We consider the evolution of an arbitrary quantum dynamical semigroup of a finite-
dimensional quantum system under frequent kicks, where each kick is a generic quantum …

The connection between quantum state recovery and quantum conditional mutual
information (QCMI) is studied for the class of purely generated finitely correlated states …

Area law for fixed points of rapidly mixing dissipative quantum systems | Journal of Mathematical
Physics | AIP Publishing Skip to Main Content Umbrella Alt Text Umbrella Alt Text Close …

It is well known in quantum mechanics that a large energy gap between a Hilbert subspace
of specific interest and the remainder of the spectrum can suppress transitions from the …