361 citations · 1.6k across the 33 of their papers we have counts for
6 papers · 1 filter
Topological Transitions with an Imaginary Aubry-Andre-Harper Potential
Bofeng Zhu, Li-Jun Lang, Qiang Wang +2
We study one-dimensional lattices with imaginary-valued Aubry-Andre-Harper (AAH) potentials. Such lattices can host edge states with purely imaginary eigenenergies, which differ fr…
Quantum circuit for measuring an operator's generalized expectation values and its applications to non-Hermitian winding numbers
Ze-Hao Huang, Peng He, Li-Jun Lang +1
We propose a general quantum circuit based on the swap test for measuring the quantity of an arbitrary operator with respect to two quantum stat…
Real-space condensation of reciprocal active particles driven by spontaneous symmetry breaking induced nonreciprocity
Wei-chen Guo, Zuo Wang, Pei-fang Wu +3
We investigate the steady-state and dynamical properties of a reciprocal many-body system consisting of self-propelled active particles with local alignment interactions that exist…
Bernstein-Kouchnirenko-Khovanskii with a symmetry
Alexander Esterov, Lionel Lang
A generic polynomial f(x,y,z) with a prescribed Newton polytope defines a symmetric spatial curve f(x,y,z)=f(y,x,z)=0. We study its geometry: the number, degree and genus of its ir…
Permuting the roots of univariate polynomials whose coefficients depend on parameters
Alexander Esterov, Lionel Lang
We address two interrelated problems concerning the permutation of roots of univariate polynomials whose coefficients depend on parameters. First, we compute the Galois group of po…
Gain/loss effects on spin-orbit coupled ultracold atoms in two-dimensional optical lattices
Zhi-Cong Xu, Ziyu Zhou, Enhong Cheng +2
Due to the fundamental position of spin-orbit coupled ultracold atoms in the simulation of topological insulators, the gain/loss effects on these systems should be evaluated when c…