322 citations · 732 across the 17 of their papers we have counts for
4 papers · 1 filter
Quantum scattering by intersecting δ-potential barriers: from Gaudin's kaleidoscope to quantum Galperin billiards
Yi-Cong Yu, Wen-Jie Qiu, Xiaoming Cai
We develop a general framework for the scattering of a plane wave by a class of Gaudin kaleidoscope models: straight -potential barriers intersecting at a common point. The proj…
A Restricted Boltzmann Machine with Quantum-State Visible Units
Zhe-Hao Zhang, Yi-Cong Yu, Xiaoming Cai +1
We construct a restricted Boltzmann machine (RBM) whose visible input is a quantum state rather than a classical configuration. Each hidden unit carries a trainable quantum templat…
Engineering exact mobility edges in quasiperiodic Aharonov-Bohm chains
Hai-Ying Cui, Yi-Cong Yu, Xiaoming Cai
We investigate localization phenomena and exact mobility edges in a quasiperiodic Aharonov-Bohm chain, where the 1D canonical diagonal and off-diagonal Aubry-André-Harper models ar…
Localization Tensor Revisited: Geometric-Probabilistic Foundations and a Structure-Factor Criterion under Periodic Boundaries
Zhe-Hao Zhang, Xiaoming Cai, Yi-Cong Yu
We revisit the localization tensor (LT) from geometric and probabilistic perspectives and construct extensions that are naturally compatible with periodic boundary conditions (PBC)…