The past decades have witnessed an explosion of interest in topological materials, and a lot
of mathematical concepts have been introduced in condensed matter physics. Among them …

Recent years have seen tremendous progress in the theoretical understanding of quantum
systems driven dissipatively by coupling to different baths at their edges. This was possible …

Recent years have seen remarkable development in open quantum systems effectively
described by non-Hermitian Hamiltonians. A unique feature of non-Hermitian topological …

Non-Hermiticity gives rise to unique topological phases that have no counterparts in
Hermitian systems. Such intrinsic non-Hermitian topological phases appear even in one …

It is highly nontrivial to what extent we can deduce the relaxation behavior of a quantum
dissipative system from the spectral gap of the Liouvillian that governs the time evolution of …

The steady states of dynamical processes can exhibit stable nontrivial phases, which can
also serve as fault-tolerant classical or quantum memories. For Markovian quantum …

The Lieb-Schultz-Mattis (LSM) theorem provides a general constraint on quantum many-
body systems and plays a significant role in the Haldane gap phenomena and topological …

We investigate the roles of non-Hermitian topology in spectral properties and entanglement
structures of open systems. In terms of spectral theory, we give a unified understanding of …

Majorana bosons, that is, tight bosonic analogs of the Majorana fermionic quasiparticles of
condensed-matter physics, are forbidden for gapped free bosonic matter within a standard …

Tight bosonic analogs of free-fermionic symmetry-protected topological phases, and their
associated edge-localized excitations, have long evaded the grasp of condensed-matter …