87 citations · 621 across the 35 of their papers we have counts for
4 papers · 1 filter
Gauge invariant canonical symplectic algorithms for real-time lattice strong-field quantum electrodynamics
Qiang Chen, Jianyuan Xiao, Peifeng Fan
A class of high-order canonical symplectic structure-preserving geometric algorithms are developed for high-quality simulations of the quantized Dirac-Maxwell theory based strong-f…
PT-symmetry entails pseudo-Hermiticity regardless of diagonalizability
Ruili Zhang, Hong Qin, Jianyuan Xiao
We prove that in finite dimensions, a Parity-Time (PT)-symmetric Hamiltonian is necessarily pseudo-Hermitian regardless of whether it is diagonalizable or not. This result is diffe…
What breaks parity-time-symmetry? -- pseudo-Hermiticity and resonance between positive- and negative-action modes
Ruili Zhang, Hong Qin, Jianyuan Xiao +1
It is generally believed that Parity-Time (PT)-symmetry breaking occurs when eigenvalues or both eigenvalues and eigenvectors coincide. However, we show that this well-accepted pic…
Canonical symplectic structure and structure-preserving geometric algorithms for Schrödinger-Maxwell systems
Qiang Chen, Hong Qin, Jian Liu +4
An infinite dimensional canonical symplectic structure and structure-preserving geometric algorithms are developed for the photon-matter interactions described by the Schrödinger-M…