4 papers
Effective stability for Hamiltonian PDEs vanishing spectral gaps
Bingqi Yu, Yong Li
This paper studies the effective stability of nearly integrable Hamiltonian PDEs with asymptotically vanishing spectral gaps (). Under a unified high-low frequency decomp…
Almost global existence for Ultra-differential Hamiltonian in space
Bingqi Yu, Li Yong
This paper combines the decay of high modes with the smallness introduced by high orders, leading to a normal form lemma for infinite-dimensional Hamiltonian systems under ultra-di…
Nekhoroshev type stability for non-local semilinear Schrödinger equations
Bingqi Yu, Li Yong
This paper investigates Nekhoroshev-type stability for solutions of ultra-differentiable regularity in Schrödinger equations with non-local nonlinear terms, employing the method of…
Reusability of Quantum Catalysts
Haitao Ma, Yantong Li, Yingchun Kang +4
Quantum catalysts enable transformations that otherwise would be forbidden, offering a pathway to surpass conventional limits in quantum information processing. Among them, embezzl…