Publications (48)
Universal KZB Equations for arbitrary root systems
Valerio Toledano-Laredo, Yaping Yang
Generalising work of Calaque-Enriquez-Etingof, we construct a universal KZB connection D_R for any finite (reduced, crystallographic) root system R. D_R is a flat connection on the…
Mixing of surface and bulk electronic states at a graphite-hexagonal boron nitride interface
Ciaran Mullan, Sergey Slizovskiy, Jun Yin +12
Van der Waals assembly enables exquisite design of electronic states in two-dimensional (2D) materials, often by superimposing a long-wavelength periodic potential on a crystal lat…
Electronic phase separation in topological surface states of rhombohedral graphite
Yanmeng Shi, Shuigang Xu, Yaping Yang +15
Of the two stable forms of graphite, hexagonal (HG) and rhombohedral (RG), the former is more common and has been studied extensively. RG is less stable, which so far precluded its…
Repulsive and restoring Casimir forces with left-handed materials
Yaping Yang, Ran Zeng, Shutian Liu +2
We investigate repulsive Casimir force between slabs containing left-handed materials with controllable electromagnetic properties. The sign of Casimir force is determined by the e…
Stacking transition in rhombohedral graphite
Tataiana Latychevskaia, Seok-Kyun Son, Yaping Yang +8
Few layer graphene (FLG) has been recently intensively investigated for its variable electronic properties defined by a local atomic arrangement. While the most natural layers arra…
Large-area topological wireless power transfer
Luyao Wan, Han Zhang, Yunhui Li +3
Topological wireless power transfer (WPT) technologies have attracted considerable interest due to their high transmission efficiency and robustness in coupled array configurations…
How to sheafify an elliptic quantum group
Yaping Yang, Gufang Zhao
We give an introductory survey of the results in arXiv: 1708.01418. We discuss a sheafified elliptic quantum group associated to any symmetric Kac-Moody Lie algebra. The sheafifica…
Dynamical Properties of Three-Photon Blockade in a Two-Atom Cavity QED System
Daqiang Bao, Chengjie Zhu, Jingping Xu +1
We theoretically investigate the three-photon blockade phenomenon in a two atoms cavity QED system, where two atoms are driven by a coherent field. In the case of in-phase radiatio…
Realization of nonlinear optical nonreciprocity on a few-photon level based on atoms strongly coupled to an asymmetric cavity
Pengfei Yang, Xiuwen Xia, Hai He +8
Optical nonreciprocity is important in photonic information processing to route the optical signal or prevent the reverse flow of noise. By adopting the strong nonlinearity associa…
Versatile photon gateway based on controllable multiphoton blockade
Kui Hou, Jizi Lin, Chengjie Zhu +1
Manipulating photons is an essential technique in quantum communication and computation. Combining the Raman electromagnetically induced transparency technology, we show that the p…
On two cohomological Hall algebras
Yaping Yang, Gufang Zhao
We compare two cohomological Hall algebras (CoHA). The first one is the preprojective CoHA introduced by the authors in arXiv:1407.7994 associated to each quiver Q, and each algebr…
Stacking Order in Graphite Films Controlled by Van der Waals Technology
Yaping Yang, Yi-Chao Zou, Colin R. Woods +10
In graphite crystals, layers of graphene reside in three equivalent, but distinct, stacking positions typically referred to as A, B, and C projections. The order in which the layer…
Manipulation and improvement of multiphoton blockade in a two cascade three-level atoms cavity-QED system
Jizi Lin, Kui Hou, Chengjie Zhu +1
We present a study of manipulating the multiphoton blockade phenomenon in a single mode cavity with two ladder-type three-level atoms. Combining the cavity QED with electromagnetic…
On deformed double current algebras for simple Lie algebras
Nicolas Guay, Yaping Yang
We prove the equivalence of two presentations of deformed double current algebras associated to a complex simple Lie algebra, the first one obtained via a degeneration of affine Ya…
Synthetic high-order PT symmetry in a single coil resonator
Chao Zeng, Zhiwei Guo, Yong Sun +7
The exploration of non-Hermitian systems with parity-time (PT) symmetry has witnessed immense research interest both fundamentally and technologically in a wide range of subject ar…
Electromagnetic control of nonclassicality in cavity QED system
Yufeng Han, Chengjie Zhu, Xianshan Huang +1
We present a study of the electromagnetic control of nonclassicality of the outgoing light field in a single atom cavity QED system. By exploring the energy eigenvalues and eigenst…
Frobenii on Morava -theoretical quantum groups
Yaping Yang, Gufang Zhao
In this paper, we study a family of new quantum groups labelled by a prime number and a natural number constructed using the Morava -theories. We define the quantum Frob…
The elliptic Casimir connection of a simple Lie algebra
Valerio Toledano-Laredo, Yaping Yang
We construct a flat connection on the elliptic configuration space associated to any complex semisimple Lie algebra g. This elliptic Casimir connection has logarithmic singularitie…
Revealing the Topology invariance of vectorial vortex beam in complex media
Shuailing Wang, Jingping Xu, Yaping Yang
Orbital angular momentum (OAM), a topological degree of freedom of light, is theoretically invariant under continuous deformations; yet, its physical observability degrades precipi…
Analytic Continuation by Feature Learning
Zhe Zhao, Jingping Xu, Ce Wang +1
Analytic continuation aims to reconstruct real-time spectral functions from imaginary-time Green's functions; however, this process is notoriously ill-posed and challenging to solv…
Extreme subradiance from two-band Bloch oscillations in atomic arrays
Luojia Wang, Da-Wei Wang, Luqi Yuan +2
Atomic arrays provide an important quantum optical platform with photon-mediated dipoledipole interactions, which can be engineered to realize key applications in quantum informati…
Positive level, negative level and level zero
Finn McGlade, Arun Ram, Yaping Yang
This is a survey on the combinatorics and geometry of integrable representations of quantum affine Lie algebras with a particular focus on level 0. Pictures and examples are includ…
Cohomological Hall algebras and perverse coherent sheaves on toric Calabi-Yau 3-folds
Miroslav Rapcak, Yan Soibelman, Yaping Yang +1
We study the Drinfeld double of the (equivariant spherical) Cohomological Hall algebra in the sense of Kontsevich and Soibelman, associated to a smooth toric Calabi-Yau 3-fold .…
The PBW theorem for the affine Yangians
Yaping Yang, Gufang Zhao
We prove that the Yangian associated to an untwisted symmetric affine Kac-Moody Lie algebra is isomorphic to the Drinfeld double of a shuffle algebra. The latter is constructed by…
Enhancement of photon blockade via topological edge states
Jun Li, Can-ming Hu, Yaping Yang
Quantum technologies, holding the promise of exponentially superior performance than their classical counterparts for certain tasks, have consistently encountered challenges, inclu…
Algebraic elliptic cohomology and flops II: -cobordism
Marc Levine, Yaping Yang, Gufang Zhao
In this paper, we study the algebraic cobordism spectrum in the motivic stable homotopy category of Voevodsky over an arbitrary perfect field . Using the motivic Adams spe…
Hybrid level anharmonicity and interference induced photon blockade in a two-qubit cavity QED system with dipole-dipole interaction
Chengjie Zhu, Kui Hou, Yaping Yang +1
We theoretically study a quantum destructive interference (QDI) induced photon blockade in a two-qubit driven cavity QED system with dipole-dipole interaction (DDI). In the absence…
In situ twistronics of van der Waals heterostructures
Yaping Yang, Jidong Li, Jun Yin +7
In van der Waals heterostructures, electronic bands of two-dimensional (2D) materials, their nontrivial topology, and electron-electron interactions can be dramatically changed by…
Strong antibunching photons/photon pairs emission in two atoms cavity QED system with the Van der Waals interaction
Zhouyang Yu, Jinping Xu, Chengjie Zhu +2
Weinvestigate the generation of antibunching photons and photon pairs in a two-atom cavity QED system leveraging interatomic van der Waals (vdW) interaction. We show that the vdW i…
Cohomological Hall algebras and affine quantum groups
Yaping Yang, Gufang Zhao
We study the preprojective cohomological Hall algebra (CoHA) introduced by the authors in an earlier work for any quiver and any one-parameter formal group . In thi…
Exploring higher Jaynes-Cummings doublet in cavity quantum electrodynamics system with a broadband squeezed vacuum injection
Daqiang Bao, Chengjie Zhu, Yaping Yang +1
We investigate the cavity excitation spectrum and the photon number distribution in a cavity QED system driven by a broadband squeezed vacuum. In an empty cavity, we show that only…
Homological finiteness of abelian covers
Alexander I. Suciu, Yaping Yang, Gufang Zhao
We present a method for deciding when a regular abelian cover of a finite CW-complex has finite Betti numbers. To start with, we describe a natural parameter space for all regular…
Loop Grassmannians of quivers and affine quantum groups
Ivan Mirkovic, Yaping Yang, Gufang Zhao
We construct for each choice of a quiver , a cohomology theory and a poset a "loop Grassmannian" . This generalizes loop Grassmannians of semisimple…
Algebraic elliptic cohomology theory and flops, I
Marc Levine, Yaping Yang, Gufang Zhao
We define the algebraic elliptic cohomology theory coming from Krichever's elliptic genus as an oriented cohomology theory on smooth varieties over an arbitrary perfect field. We s…
Dimensional reduction, quantum Hall effect and layer parity in graphite films
Jun Yin, Sergey Slizovskiy, Yang Cao +13
The quantum Hall effect (QHE) originates from discrete Landau levels forming in a two-dimensional (2D) electron system in a magnetic field. In three dimensions (3D), the QHE is for…
Quiver varieties and elliptic quantum groups
Yaping Yang, Gufang Zhao
We define a sheafified elliptic quantum group for any symmetric Kac-Moody Lie algebra. This definition is naturally obtained from the elliptic cohomological Hall algebra of a prepr…
Squeezed light induced symmetry breaking superradiant phase transition
Chengjie Zhu, Leilei Ping, Yaping Yang +1
We theoretically investigate the quantum phase transition in the collective systems of qubits in a high-quality cavity, which is driven by a squeezed light. We show that the squeez…
Intersections of translated algebraic subtori
Alexander I. Suciu, Yaping Yang, Gufang Zhao
We exploit the classical correspondence between finitely generated abelian groups and abelian complex algebraic reductive groups to study the intersection theory of translated subg…
Centers of Universal Enveloping Algebras
Yaping Yang, Daihao Zeng
The universal enveloping algebra of a current (super)algebra or loop (super)algebra is considered over an algebraically closed field $\mathbb{K}…
Squeezed driving induced entanglement and squeezing among cavity modes and magnon mode in a magnon-cavity QED system
Ying Zhou, Jingping Xu, Shuangyuan Xie +1
We propose a scheme to generate entanglement between two cavity modes and squeeze magnon mode in a magnon-cavity QED system, where the two microwave cavity modes are coupled with a…
Dipole blockade without dipole-dipole interaction
Chengjie Zhu, Wei Li, Yaping Yang +1
The dipole blockade phenomenon is a direct consequence of strong dipole-dipole interaction, where only single atom can be excited because the doubly excited state is shifted out of…
Higher spin representations of the Yangian of and R-matrices
Yaping Yang, Paul Zinn-Justin
We study higher spin (pure and mixed spin) representations of the Yangian of . We provide a geometric realization in terms of the critical cohomology of representa…
Squeezed light generated with hyperradiance without nonlinearity
Jun Li, Chengjie Zhu, Yaping Yang
We propose that the squeezed light accompanied by hyperradiance is induced by quantum interference in a linear system consisting of a high quality optical cavity and two coherently…
Cohomological Hall algebras, vertex algebras and instantons
Miroslav Rapcak, Yan Soibelman, Yaping Yang +1
We define an action of the (double of) Cohomological Hall algebra of Kontsevich and Soibelman on the cohomology of the moduli space of spiked instantons of Nekrasov. We identify th…
Degenerate Topological Edge States in Multimer Chains
Jun Li, Yaping Yang, C. M. Hu
We propose and experimentally realize a class of quasi-one-dimensional topological lattices whose unit cells are constructed by coupled multiple identical resonators, with uniform…
Electromagnetic control of the collective radiations with three-photon blockade
Yufeng Han, Chengjie Zhu, Jingping Xu +1
We study properties of collective radiations of coherently driven two three-level ladder-type atoms trapped in a single-mode cavity. Using the electromagnetically induced transpare…
The cohomological Hall algebras of a preprojective algebra with symmetrizer
Yaping Yang, Gufang Zhao
This paper aims at a geometric realization of the Yangian of non-simply laced type in terms of quiver with potentials. For every quiver with symmetrizer, there is an extended quive…
The cohomological Hall algebra of a preprojective algebra
Yaping Yang, Gufang Zhao
We introduce for each quiver and each algebraic oriented cohomology theory , the cohomological Hall algebra (CoHA) of , as the -homology of the moduli of representatio…