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 …

The “symmetric mass generation”(SMG) quantum phase transition discovered in recent
years has attracted great interest from both condensed matter and high energy theory …

The fermion disorder operator has been shown to reveal the entanglement information in 1D
Luttinger liquids and 2D free and interacting Fermi and non-Fermi liquids emerging at …

We systematically investigate the finite size scaling behavior of the Rényi entanglement
entropy (EE) of several representative 2d quantum many-body systems between a …

We study a class of symmetry protected topological (SPT) phases under various types of
decoherence, which can drive a pure SPT state into a mixed state. We demonstrate that the …

We develop a nonequilibrium increment method in quantum Monte Carlo simulations to
obtain the Rényi entanglement entropy of various quantum many-body systems with high …

We study disorder operator, defined as a symmetry transformation applied to a finite region,
across a continuous quantum phase transition in (2+ 1) d. We show analytically that, at a …

Motivated by recent development of the concept of the disorder operator and its relation with
entanglement entropy in bosonic systems, here we show the disorder operator successfully …

We study scaling behavior of the disorder parameter, defined as the expectation value of a
symmetry transformation applied to a finite region, at the deconfined quantum critical point in …

We introduce topological invariants for gapless systems and study the associated boundary
phenomena. More generally, the symmetry properties of the low-energy conformal field …