A5013147220- Black Holes and Theoretical Physics
- Particle physics theoretical and experimental studies
- Polynomial and algebraic computation
- Cosmology and Gravitation Theories
- Quantum Chromodynamics and Particle Interactions
- Numerical methods for differential equations
- Algebraic structures and combinatorial models
- Distributed and Parallel Computing Systems
- Algebraic and Geometric Analysis
- Coding theory and cryptography
- Algebraic Geometry and Number Theory
- Nonlinear Waves and Solitons
- Astrophysical Phenomena and Observations
- Cancer Treatment and Pharmacology
- Advanced Topics in Algebra
- Matrix Theory and Algorithms
- Advanced Numerical Methods in Computational Mathematics
- Quantum Information and Cryptography
- Noncommutative and Quantum Gravity Theories
- Particle Accelerators and Free-Electron Lasers
- Cryptography and Residue Arithmetic
- Advanced Algebra and Geometry
- High-Energy Particle Collisions Research
- Digital Filter Design and Implementation
- Quantum Electrodynamics and Casimir Effect
University of Science and Technology of China
2011-2025
Peng Huanwu Center for Fundamental Theory
2020-2025
Philips (China)
2024-2025
Southeast University
2020-2024
Air Force Engineering University
2024
University of Manitoba
2009-2024
Qilu Hospital of Shandong University
2024
North China Electric Power University
2024
Alibaba Group (China)
2024
Shanxi Datong University
2019-2023
Abstract The coherent interaction between quantum emitters and photonic modes in cavities underlies many of the current strategies aiming at generating controlling states. A plasmonic nanocavity provides a powerful solution for reducing effective mode volumes down to nanometre scale, but spatial control atomic scale coupling with single molecular emitter is challenging. Here we demonstrate sub-nanometre over molecule close proximity by monitoring evolution Fano lineshapes Lamb shifts...
We show that the integration-by-parts reductions of various two-loop integral topologies can be efficiently obtained by applying unitarity cuts to a specific set subgraphs and solving associated polynomial (syzygy) equations.
Unconditional security of quantum key distribution protocol can be guaranteed by the basic property mechanics. Unfortunately, practical system always have some imperfections, and may attacked if imperfection controlled eavesdropper Eve. Applying fatal loophole introduced imperfect beam splitter's wavelength dependent optical property, we propose wavelength-dependent attacking model, which applied to almost all systems with passive state modulation photon detection after splitter. Utilizing...
We evaluate analytically all previously unknown nonplanar master integrals for massless five-particle scattering at two loops, using the differential equations method. A canonical form of is obtained by identifying with constant leading singularities, in D space-time dimensions. These to Q-linear combinations multiple polylogarithms uniform weight each order expansion dimensional regularization parameter and are agreement previous conjectures pentagon functions. Our results provide complete...
The Mn<sup>4+</sup>doped Mg<sub>14</sub>Ge<sub>5</sub>O<sub>24</sub>phosphor produces deep red emission, and the structure, photoluminescence properties, thermal stability performance of fabricated WLED are all investigated.
We compute the full-color two-loop five-gluon amplitude for all-plus helicity configuration. In order to achieve this, we calculate required master integrals all permutations of external legs, in physical scattering region. verify expected divergence structure and extract finite hard function. further validate our result by checking factorization properties collinear limit. Our is fully analytic valid express it a compact form containing logarithms, dilogarithms, rational functions.
We compute the symbol of full-color two-loop five-particle amplitude in N=4 super Yang-Mills theory, including all nonplanar subleading-color terms. The is written terms permutations Parke-Taylor tree-level amplitudes and pure functions to orders dimensional regularization parameter, agreement with previous conjectures. answer has correct collinear limits infrared factorization properties, allowing us define a finite remainder function. study multi-Regge limit terms, analyze its subleading...
We propose a wavelength-saving topology of quantum key distribution (QKD) network based on passive optical elements, and we report the field test this commercial telecom fiber at frequency 20MHz. In network, five nodes are supported with two wavelengths, every can share secure keys directly same time. also characterized insertion loss cross talk effects point-to-point QKD system after introducing network.
Integration-by-parts identities between loop integrals arise from the vanishing integration of total derivatives in dimensional regularization. Generic choices Baikov or parametric representations lead to which involve dimension shifts. These shifts can be avoided by imposing a certain constraint on derivatives. The solutions this turn out specific type syzygies correspond logarithmic vector fields along Gram determinant formed independent external and momenta. We present an explicit...
A bstract We present the powerful module-intersection integration-by-parts (IBP) method, suitable for multi-loop and multi-scale Feynman integral reduction. Utilizing modern computational algebraic geometry techniques, this new method successfully trims traditional IBP systems dramatically to much simpler integral-relation on unitarity cuts. demonstrate power of by explicitly carrying out complete analytic reduction two-loop five-point non-planar hexagon-box integrals, with degree-four...
A bstract We compute for the first time two-loop five-particle amplitude in $$ \mathcal{N} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 8 supergravity. Starting from known integrand, we perform an integration-by-parts reduction and express answer terms of uniform weight master integrals. The latter are to evaluate non-planar pentagon functions, described by a 31-letter symbol alphabet. final result four symbols, multiplied small set rational...
A bstract We compute three families of two-loop six-point massless Feynman integrals in dimensional regularization, namely the double-box, pentagon-triangle, and hegaxon-bubble family. This constitutes first analytic computation master with eight scales. use method canonical differential equations. describe corresponding integral basis uniform transcendentality, relevant function alphabet, boundary values at a particular point Euclidean region up to fourth order regularization parameter ϵ ....
Abstract The importance of identifying DNA bases at the single‐molecule level is well recognized for many biological applications. Although such identification can be achieved by electrical measurements using special setups, it still not possible to identify single in real space optical means owing diffraction limit. Herein, we demonstrate outstanding ability scanning tunneling microscope (STM)‐controlled non‐resonant tip‐enhanced Raman scattering (TERS) unambiguously distinguish two...
We examine the polynomial form of scattering equations by means computational algebraic geometry. The are backbone Cachazo-He-Yuan (CHY) representation S-matrix. explain how Bezoutian matrix facilitates calculation amplitudes in CHY formalism, without explicitly solving or summing over individual residues. Since for $n$-particle size grows only as $(n\ensuremath{-}3)\ifmmode\times\else\texttimes\fi{}(n\ensuremath{-}3)$, our algorithm is very efficient analytic and numeric amplitude computations.
A bstract We present an efficient method to shorten the analytic integration-by-parts (IBP) reduction coefficients of multi-loop Feynman integrals. For our approach, we develop improved version Leinartas’ multivariate partial fraction algorithm, and provide a modern implementation based on computer algebra system Singular. Furthermore, observe that for integral basis with uniform transcendental (UT) weights, denominators IBP respect UT are either symbol letters or polynomials purely in...
We uncover a connection between two seemingly separate subjects in integrable models: the representation theory of affine Temperley-Lieb algebra, and algebraic structure solutions to Bethe equations XXZ spin chain. study solution analytically by computational geometry, find that space encodes rich information about algebra. Using these connections, we compute partition function completely-packed loop model closely related random-cluster Potts model, on medium-size lattices with toroidal...
We derive the full system of canonical differential equations for all planar two-loop massless six-particle master integrals, and determine analytically boundary conditions. This fully specifies solutions, which may be written as Chen iterated integrals. argue that this is sufficient information evaluating any scattering amplitude in four dimensions up to finite part. support claim by reducing, most complicated integral topologies, integrals with typical Yang-Mills numerators. use analytic...