65 citations · 91 across the 20 of their papers we have counts for
4 papers · 1 filter
Thouless pumps and universal geometry-induced drift velocity in multi-sliding quasi-periodic lattices
Zixun Xu, Yuan Yao
Quantized Thouless pumps in periodic systems, set by Chern numbers or Wannier-center winding, is by now fairly well established, whereas its quasi-periodic extensions still require…
An Invitation to Obstruction Bundle Gluing Through Morse Flow Lines
Ipsita Datta, Yuan Yao
We adapt "Obstruction Bundle Gluing (OBG)" techniques from Hutchings and Taubes (arxiv: 0701300, 0705.2074) to Morse theory. We consider Morse function-metric pairs with gradient f…
Linkage Axioms for Generic Tropical Oriented Matroids
Yuan Yao
We present a comprehensive overview of Ardila and Develin's (generic) tropical oriented matroids, as well as many related objects and their axiomatics. Moreover, we use a unifying…
The stellar decomposition of Gaussian quantum states
Arsalan Motamedi, Yuan Yao, Kasper Nielsen +4
We introduce the stellar decomposition, a novel method for characterizing non-Gaussian states produced by photon-counting measurements on Gaussian states. Given an -mode Gau…