activity
20222026
most citedBand theory and boundary modes of high-dimensional representations of infinite hyperbolic lattices

62 citations · 74 across the 9 of their papers we have counts for

collaborators

9 papers

physics.optics2026

Programmable Non-Hermitian Synchronization of Light on a Silicon Photonic Processor

Ze-Sheng Xu, Nan Cheng, Mohammed S. Elmusrati +6

Synchronization is a pervasive collective phenomenon underlying the firing of neurons, the beating of the heart, and the coherent emission of lasers. Across these systems, dissipat…

quant-ph2026

Observation of Universal Spectral Moments and the Dynamic Dispersive-to-Proliferative Transition

Jia-Xin Zhong, Chang Shu, Nan Cheng +4

In non-Hermitian systems, spectra can be maximally boundary-sensitive, yet bulk physics need not be. Here we experimentally show that spectral moments provide boundary-robust bulk…

cond-mat.mes-hall2025

Failure of the Goldstone Theorem for Vector Fields and Boundary-Mode Proliferation in Hyperbolic Lattices

Daniel Sela, Nan Cheng, Kai Sun

Hyperbolic lattices extend crystallinity into curved space, where negative curvature and exponentially large boundaries reshape collective excitations beyond Euclidean intuition. I…

cond-mat.soft2025

Lyapunov exponents explain disorder-induced polarization and soliton teleportation in a mechanical Markov system

Will Stephenson, Nan Cheng, Kai Sun +1

Using a mapping between spatial disorder and temporal stochasticity, we develop a new framework using Lyapunov exponents to explain exotic wave localization and mobility phenomena…

nlin.PS2025

Observation of mechanical kink control and generation via phonons

Kai Qian, Nan Cheng, Francesco Serafin +4

Kinks (or domain walls) are localized transitions between distinct ground states associated with a topological invariant, and are central to many phenomena across physics, from con…

cond-mat.mes-hall2024★ 8 cited

Universal spectral moment theorem and its applications in non-Hermitian systems

Nan Cheng, Chang Shu, Kai Zhang +2

The high sensitivity of the spectrum and wavefunctions to boundary conditions, termed the non-Hermitian skin effect, represents a fundamental aspect of non-Hermitian systems. While…

cond-mat.soft2023

Backscattering-free edge states below all bands in two-dimensional auxetic media

Wenting Cheng, Kai Qian, Nan Cheng +3

Unidirectional and backscattering-free propagation of sound waves is of fundamental interest in physics, and highly sought-after in engineering. Current strategies utilize topologi…

cond-mat.soft2023★ 4 cited

Geometrically frustrated self-assembly of hyperbolic crystals from icosahedral nanoparticles

Nan Cheng, Kai Sun, Xiaoming Mao

Geometric frustration is a fundamental concept in various areas of physics, and its role in self-assembly processes has recently been recognized as a source of intricate self-limit…

cond-mat.mes-hall2022★ 62 cited

Band theory and boundary modes of high-dimensional representations of infinite hyperbolic lattices

Nan Cheng, Francesco Serafin, James McInerney +3

Periodic lattices in hyperbolic space are characterized by symmetries beyond Euclidean crystallographic groups, offering a new platform for classical and quantum waves, demonstrati…