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cond-mat.str-el2026
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…
quant-ph2026
Quantum Hilbert Space Fragmentation and Entangled Frozen States
Zihan Zhou, Tian-Hua Yang, Bo-Ting Chen
We find that rank deficiency of the local Hamiltonian in a classically fragmented model is the key mechanism leading to quantum Hilbert space fragmentation. The rank deficiency pro…
cond-mat.stat-mech2026
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…