3 papers
physics.optics2026
Robust quantized transport from topological quasienergy winding in long-range-coupling synthetic quantum walks
Chengzhi Qin, Yinglan Li, Bing Wang +5
Quantized transport is a prominent feature in topological physics, with canonical examples being the quantum Hall effect and adiabatic Thouless pump, which are based on the Chern n…
math.AP2024
Ground states of planar Schrödinger-Poisson systems with an unbounded potential
Miao Du, Jiaxin Xu
In this paper, we deal with a class of planar Schrödinger-Poisson systems, namely, $-Îu+V(x)u+\fracγ{2Ï}\bigl(\log(|\cdot|)\ast|u|^{2}\bigr)u=b|u|^{p-2}u\ \text{in}\ \mathbb{R}…
math.AP2024
On a class of planar Schrödinger-Poisson system with a bounded potential well
Miao Du, Jiaxin Xu
In this paper, we deal with the planar Schrödinger-Poisson system \begin{equation*}\begin{cases} -Îu + V(x) u + Ïu = b|u|^{p-2} u \ &\text{in}\ \mathbb{R}^{2},\\ÎÏ= u^{2} &\te…