5 papers
Translationally Covariant Modulated Symmetries: Classification and Goldstone
Bo-Ting Chen, Zihan Zhou, Biao Lian
Modulated symmetries are global symmetries with a spatially dependent unit of charge, such as the dipole symmetry and the exponential symmetry. We give the generic condition for a…
Wilson-Loop-Ideal Bands and General Idealization
Awwab A. Azam, Biao Lian, Shinsei Ryu +1
Quantum geometry is universally bounded from below by Wilson-loop windings. In this work, we define an isolated set of bands to be Wilson-loop-ideal, if their quantum metric satura…
Bridging Commutant and Polynomial Methods for Hilbert Space Fragmentation
Bo-Ting Chen, Yu-Ping Wang, Biao Lian
A quantum model exhibits Hilbert space fragmentation (HSF) if its Hilbert space decomposes into exponentially many dynamically disconnected subspaces, known as Krylov subspaces. A…
Inhomogeneous Quantum Quenches of Conformal Field Theory with Boundaries
Xinyu Liu, Alexander McDonald, Tokiro Numasawa +2
We develop a method to calculate generic time-dependent correlation functions for inhomogeneous quantum quenches in (1+1)-dimensional conformal field theory (CFT) induced by sudden…
Two-dimensional quantum breakdown model with Krylov subspace many-body localization
Xinyu Liu, Biao Lian
We propose a two-dimensional (2d) quantum breakdown model of hardcore bosons interacting with disordered spins which would be classical without the bosons. It resembles particles i…