322 citations · 732 across the 17 of their papers we have counts for
18 papers
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)…
Controlled transport in chiral quantum walks on graphs
Yi-Cong Yu, Xiaoming Cai
We investigate novel transport properties of chiral continuous-time quantum walks (CTQWs) on graphs. By employing a gauge transformation, we demonstrate that CTQWs on chiral chains…
Exact mobility edges in Aubry-André-Harper models with relative phases
Xiaoming Cai, Yi-Cong Yu
Mobility edge (ME), a critical energy separating localized and extended states in spectrum, is a central concept in understanding the localization physics. However, there are few m…