Decoherence inevitably happens when a quantum state is exposed to its environment,
which can affect quantum critical points (QCPs) in a nontrivial way. As was pointed out in the …

Continuous phase transitions in equilibrium statistical mechanics were successfully
described 50 years ago with the development of the renormalization group framework. This …

The deconfined quantum critical point (DQCP) is an example of phase transitions beyond
the Landau symmetry-breaking paradigm that attracts wide interest. However, its nature has …

Intrinsically gapless symmetry-protected topological phases (igSPT) are gapless systems
with SPT edge states with properties that could not arise in a gapped system with the same …

The Kennedy-Tasaki (KT) transformation was used to construct the gapped symmetry
protected topological (SPT) phase from the symmetry breaking phase with open boundary …

Symmetry topological field theory (SymTFT) gives a holographic correspondence between
systems with a global symmetry and a higher-dimensional topological field theory. In this …

In this paper, we develop a systematic approach to characterize the't Hooft anomaly in open
quantum systems. Owing to nontrivial couplings to the environment, symmetries in such …

Abstract Lieb-Schultz-Mattis (LSM) theorems provide powerful constraints on the emergibility
problem, ie whether a quantum phase or phase transition can emerge in a many-body …

Symmetry protected topological (SPT) phases are one of the simplest, yet nontrivial, gapped
systems that go beyond the Landau paradigm. In this work, we study an extension of the …

We study the boundary criticality enriched by boundary fermions, which ubiquitously emerge
in topological phases of matter, with a focus on topological insulators and topological …