3 papers
math.AP2026
A Vibrating Clamped Plate Resembles a Vibrating Membrane at High Frequency
Or Kuperman, Zhengjiang Lin, Dan Mangoubi
We study the clamped plate eigenvalue problem. We show that clamped plate eigenfunctions can be approximated in the -sense by their oscillatory components, which solve the Hel…
math.AP2026
Whispering Gallery Modes for Semilinear Dirichlet Eigenvalue Problems
Zhengjiang Lin
We study the boundary localization phenomenon, known as whispering gallery modes, for weak solutions to semilinear Dirichlet eigenvalue problems in the unit ball $B_1 \subseteq \ma…
quant-ph2026
Nonreciprocal entanglement in exciton optomechanics with an optical parametric amplifier
Zhen-Sen Lin, Rui Zhang, Zi-Wei Jiang +4
We study nonreciprocal bipartite and tripartite entanglement in a spinning exciton-optomechanical system (EOMS) with an optical parametric amplifier (OPA). We demonstrate that nonr…