9 citations · 14 across the 13 of their papers we have counts for
14 papers
Bounded orbits on homogeneous spaces and bounded geodesics on locally symmetric spaces
Chengyang Wu
We present a unified approach to proving the following two results: (i) Let be a Lie group, a lattice in , , and let be a one-parameter -diagonal…
is Hyperplane Absolute Winning
Chengyang Wu
Given an -dimensional weight and an -dimensional weight , we prove that the set of -badly approximable matrices…
Winning property of counterexamples to Uniform Littlewood's Conjecture
Vasiliy Neckrasov, Chengyang Wu, Bohan Yang
In this paper, we prove that the set of counterexamples to the uniform Littlewood's conjecture proposed in Bandi-Fregoli-Kleinbock, that is, the set of pairs of real numbers $(x,y)…
Singular points for cone actions on the product of certain homogeneous spaces
Lifan Guan, Chengyang Wu
In this paper, we investigate divergent orbits for cone actions on products of certain homogeneous spaces. We introduce a notion of essential singularity for such actions, and esti…
Universal scaling of many-body effects in quantum tunneling
Hongmian Shui, Chi-Kin Lai, Chengyang Wu +6
Quantum tunneling is fundamental to diverse phenomena and underpins a wide range of modern technologies. In the study of superconducting quantum computation and high-temperature su…
The wave nature of a Mott insulator
Xudong Yu, Chengyang Wu, Wenhan Chen +10
Quantum phases of matter are routinely identified by coherence features, with interference patterns being one of the most directly observable quantities. In lattices, the superflui…
Simultaneously bounded and dense orbits for commuting Cartan actions
Dmitry Kleinbock, Chengyang Wu
In this paper we prove that the set of points that have bounded orbits under one regular diagonal flow and dense orbits under the other diagonal flow commuting with the first one h…
Vestigial Order Melting of a Chiral Atomic Superfluid in a Double-Valley Optical Lattice
Zhongcheng Yu, Chengyang Wu, Chi Zhang +2
The interplay of multiple symmetry-breaking channels plays an important role in shaping complex phase diagrams in many-body systems. In multicomponent superfluids, this interplay c…
Probing universal phase diagram of dimensional crossover with an atomic quantum simulator
Jinyuan Tian, Zhongcheng Yu, Jing Liu +7
Dimensionality is a fundamental concept in physics, which plays a hidden but crucial role in various domains, including condensed matter physics, relativity and string theory, stat…
The symmetries of affine -systems and a program for centralizer rigidity
Danijela Damjanović, Amie Wilkinson, Chengyang Wu +1
Let Aff(X) be the group of affine diffeomorphisms of a closed homogeneous manifold X=G/B admitting a G-invariant Lebesgue-Haar probability measure . For Aff(X), let $Z^…
Bounded Geodesics on Locally Symmetric Spaces
Lifan Guan, Chengyang Wu
Let be a torsion-free subgroup of commensurable with , and be endowed with the natural locally symmetric space structure. We…
On identities concerning integer parts
Zichang Wang, Chengyang Wu, Bohan Yang
In 2007 V. Zhuravlev discovered a family of identities concerning integer parts which are satisfied by the number . Some of these identities turned out to be…
Optimal lattice depth on lifetime of D-band ultracold atoms in a triangular optical lattice
Hongmian Shui, Chi-Kin Lai, Zhongcheng Yu +4
Ultracold atoms in optical lattices are a flexible and effective platform for quantum precision measurement, and the lifetime of high-band atoms is an essential parameter for the p…
Atomic Ramsey interferometry with S- and D-band in a triangular optical lattice
Xiangyu Dong, Chengyang Wu, Zhongcheng Yu +5
Ramsey interferometers have wide applications in science and engineering. Compared with the traditional interferometer based on internal states, the interferometer with external qu…