4 papers
Splitting Analysis for Yukawa Potential
Di Fang, Jiaqi Zhang
The paper analyzes operator splitting methods for the Schrödinger equation with a Yukawa potential, proving a global 1/4-order convergence rate for many-body systems and establishi…
Non-Hermitian-induced higher-order topological phases in acoustic fractal lattices
Shuanghuizhi Li, Bowei Wu, Tingfeng Ma +3
For fractal (non-integer-dimension) geometries in Hermitian system, high-order topological phases were realized in the past few years, for which, it is difficult to tune the energy…
Discrete Superconvergence Analysis for Quantum Magnus Algorithms of Unbounded Hamiltonian Simulation
Yonah Borns-Weil, Di Fang, Jiaqi Zhang
Motivated by various applications, unbounded Hamiltonian simulation has recently garnered great attention. Quantum Magnus algorithms, designed to achieve commutator scaling for tim…
Superconvergence of High-order Magnus Quantum Algorithms
Di Fang, Jiaqi Zhang
The Magnus expansion has long been a celebrated subject in numerical analysis, leading to the development of many useful classical integrators. More recently, it has been discovere…