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Summary of WG7 at CKM 2018: "Mixing and $CP$ violation in the $D$ system: $x_D$, $y_D$, $|q/p|_D$, $φ_D$, and direct $CP$ violation in $D$ decays"Jan 23 2019Feb 07 2019The "10$^{\rm th}$ International Workshop on the CKM Unitary Triangle" took place at the University of Heidelberg on September 17$^{\rm th}$-21$^{\rm st}$, 2018. In this write-up, we summarize the material discussed at the workshop by the Working Group ... More

Masses of Scalar and Axial-Vector B Mesons RevisitedApr 04 2017Oct 08 2017The SU(3) quark model encounters a great challenge in describing even-parity mesons. Specifically, the $q\bar q$ quark model has difficulties in understanding the light scalar mesons below 1 GeV, scalar and axial-vector charmed mesons and $1^+$ charmonium-like ... More

Weak Decays of Stable Open-bottom Tetraquark by SU(3) Symmetry AnalysisMar 14 2019The exotic state $X(5568)$ which was observed by D0 Collaboration is very likely to be a tetraquark state with four different valence quark flavors, though the existence was not confirmed by other collaborations. The possibility of such state still generate ... More

Efficient and economic five-party quantum state sharing of an arbitrary m-qubit stateMay 01 2010We present an efficient and economic scheme for five-party quantum state sharing of an arbitrary m-qubit state with $2m$ three-particle Greenberger-Horne-Zeilinger (GHZ) states and three-particle GHZ-state measurements. It is more convenient than other ... More

Nonleptonic two-body decays of charmed mesonsJan 25 2011Oct 27 2011Nonleptonic decays of charmed mesons into two pseudoscalar mesons or one pseudoscalar meson and one vector meson are studied on the basis of a generalized factorization method considering the resonance effects in the pole model for the annihilation contributions. ... More

Strange Axial-vector Mesons in D Meson DecaysJan 29 2018The nature of strange axial-vector mesons are not well understood and can be investigated in $D$ meson decays. In this work, it is found that the experimental data of $D^0\rightarrow K^\pm K^\mp_1(1270)(\to \rho K \,\,\text{or}\,\,K^{*}\pi)$ in the $D^0\to ... More

$CP$ violation in charmed hadron decays into neutral kaonsAug 28 2017We find a new $CP$ violating effect in charmed hadron decays into neutral kaons, which is induced by the interference between the Cabibbo-favored and doubly Cabibbo-suppressed amplitudes with the $K^{0}-\overline K^{0}$ mixing. It is estimated to be of ... More

Multipartite electronic entanglement purification with charge detectionOct 01 2011We present a multipartite entanglement purification scheme in a Greenberger-Horne-Zeilinger state for electrons based on their spins and their charges. This scheme works for purification with two steps, i.e., bit-flipping error correction and phase-error ... More

Test Flavor SU(3) symmetry in Exclusive $Λ_c$ decaysJan 17 2016Flavor SU(3) symmetry is a powerful tool to analyze charmed baryon decays, however its applicability remains to be experimentally validated. Since there is not much data on $\Xi_c$ decays, various exclusive $\Lambda_c$ decays especially the ones into ... More

Heavy neutrino searches at future $Z$-factoriesMar 06 2019We analyze the capacity of future $Z$-factories to search for heavy neutrinos with their mass from 10 to 91 GeV. The heavy neutrinos $N$ are considered to be produced via the process $e^+e^-\to Z\to \nu N$ and to decay into an electron or muon and two ... More

Branching ratios and direct CP asymmetries in $D\to PP$ decaysMar 14 2012Sep 24 2012We propose a theoretical framework for analyzing two-body nonleptonic $D$ meson decays, based on the factorization of short-distance (long-distance) dynamics into Wilson coefficients (hadronic matrix elements of four-fermion operators). The parametrization ... More

Embeddings of fields in simple algebras over global fieldsAug 03 2011Mar 02 2013Let $F$ be a global field, $A$ a central simple algebra over $F$ and $K$ a finite (separable or not) field extension of $F$ with degree $[K:F]$ dividing the degree of $A$ over $F$. An embedding of $K$ in $A$ over $F$ exists implies an embedding exists ... More

Weak Decays of Doubly Heavy Baryons: the $1/2\to 1/2$ caseJul 10 2017Nov 06 2017Very recently, the LHCb collaboration has observed in the final state $\Lambda_c^+ K^-\pi^+\pi^+$ a resonant structure that is identified as the doubly-charmed baryon $\Xi_{cc}^{++}$. Inspired by this observation, we investigate the weak decays of doubly ... More

$D^0$-$\overline{D}^0$ mixing parameter $y$ in the factorization-assisted topological-amplitude approachMay 20 2017May 09 2018We calculate the $D^0$-$\overline{D}^0$ mixing parameter $y$ in the factorization-assisted topological-amplitude (FAT) approach, considering contributions from $D^{0}\to PP$, $PV$, and $VV$ modes, where $P$ ($V$) stands for a pseudoscalar (vector) meson. ... More

$K_{S}^{0}-K_{L}^{0}$ asymmetries in $D$-meson decaysJan 25 2017Apr 23 2017The $K_{S}^{0}-K_{L}^{0}$ asymmetries in the $D$ meson decays, induced by the interference between the Cabibbo-favored and the doubly Cabibbo-suppressed amplitudes, can help to understand the dynamics of charm decays. All possible processes of two-body ... More

Efficient faithful qubit transmission with frequency degree of freedomJul 01 2009Aug 16 2009We propose an efficient faithful polarization-state transmission scheme by utilizing frequency degree of freedom besides polarization and an additional qubit prepared in a fixed polarization. An arbitrary single-photon polarization state is protected ... More

Stable and deterministic quantum key distribution based on differential phase shiftJan 01 2008Aug 16 2009We present a stable and deterministic quantum key distribution (QKD) system based on differential phase shift. With three cascaded Mach-Zehnder interferometers with different arm-length differences for creating key, its key creation efficiency can be ... More

Multipartite entanglement purification with quantum nondemolition detectorsOct 01 2008Sep 04 2009We present a scheme for multipartite entanglement purification of quantum systems in a Greenberger-Horne-Zeilinger state with quantum nondemolition detectors (QNDs). This scheme does not require the controlled-not gates which cannot be implemented perfectly ... More

Analysis of Two-body Charmed $B$ Meson Decays in Factorization-Assisted Topological-Amplitude ApproachSep 14 2015Within the factorization-assisted topological-amplitude approach, we study the two-body charmed $B$ meson decays $B_{u,d,s} \to D^{(*)}M$, with $M$ denoting a light pseudoscalar (or vector) meson. The meson decay constants and transition form factors ... More

Localization of $q-$form fields on $AdS_{p+1}$ branesDec 10 2013Jun 13 2014In this paper, we investigate localization of a free massless $q-$form bulk field on thin and thick $AdS_{p+1}$ branes with codimension one. It is found that the zero mode of the $q-$form field with $q>(p+2)/2$ can be localized on the thin negative tension ... More

Doubly-Heavy Baryon Weak Decays: $Ξ_{bc}^{0}\to pK^{-}$ and $Ξ_{cc}^{+}\to Σ_{c}^{++}(2520)K^{-}$Jan 12 2017Feb 17 2017Doubly-heavy baryons, with two heavy and one light quarks, are expected to exist in QCD and their masses have been predicted in the quark model. However their existence is not well established so far in experiment. In this work, we explore the possibility ... More

On biharmonic hypersurfaces with constant scalar curvatures in $\mathbb E^5(c)$Dec 23 2014We prove that proper biharmonic hypersurfaces with constant scalar curvature in Euclidean sphere $\mathbb S^5$ must have constant mean curvature. Moreover, we also show that there exist no proper biharmonic hypersurfaces with constant scalar curvature ... More

New localization mechanism and Hodge duality for $q-$form fieldFeb 19 2015Mar 01 2016In this paper, we investigate the problem of localization and the Hodge duality for a $q-$form field on a $p-$brane with codimension one. By a general Kaluza-Klein (KK) decomposition without gauge fixing, we obtain two Schr\"{o}dinger-like equations for ... More

$K_S^0-K_L^0$ Asymmetries and $CP$ Violation in Charmed Baryon Decays into Neutral KaonsSep 28 2017Mar 19 2018We study the $K^0_S-K^0_L$ asymmetries and $CP$ violations in charm-baryon decays with neutral kaons in the final state. The $K^0_S-K^0_L$ asymmetry can be used to search for two-body doubly Cabibbo-suppressed amplitudes of charm-baryon decays, with the ... More

Discovery Potentials of Doubly Charmed BaryonsMar 27 2017Mar 19 2018The existence of doubly heavy flavor baryons has not been well established experimentally so far. In this Letter we systematically investigate the weak decays of the doubly charmed baryons, $\Xi_{cc}^{++}$ and $\Xi_{cc}^{+}$, which would be helpful for ... More

Detach and Adapt: Learning Cross-Domain Disentangled Deep RepresentationMay 03 2017May 01 2018While representation learning aims to derive interpretable features for describing visual data, representation disentanglement further results in such features so that particular image attributes can be identified and manipulated. However, one cannot ... More

Noncommutative QED corrections to process $e^+e^-\toμ^+μ^-γ$ at linear collider energiesMar 27 2007The cross section for process $e^+e^-\to\mu^+\mu^-\gamma$ in the framework of noncommutative quantum electrodynamics(NC QED) is studied. It is shown that the NC correction of scattering sections is not monotonous enhancement with total energy of colliding ... More

High Performance and Scalable AWG for Superconducting Quantum ComputingJun 10 2018Superconducting quantum computer is manufactured based on semiconductor process which makes qubits integration possible. At the same time, this kind of qubit exhibits high performance fidelity, de-coherence time, scalability and requires a programmable ... More

Measurement of the liquid scintillator nonlinear energy response to electronMar 12 2014Nonlinearity of the liquid scintillator energy response is a key to measuring the neutrino energy spectrum in reactor neutrino experiments such as Daya Bay and JUNO. We measured in laboratory the nonlinearity of the Linear Alkyl Benzene based liquid scintillator, ... More

Experimental observation of three-photon superbunching in linear optical systemSep 10 2018Three-photon superbunching is experimentally observed with the recently proposed superbunching pseudothermal light. To the best of our knowledge, it is the first time that three-photon superbunching is observed in linear optical system. From the quantum ... More

Scalable Self-Adaptive Synchronous Triggering System in Superconducting Quantum ComputingJun 11 2018Superconducting quantum computers (SQC) can solve some specific problems which are deeply believed to be intractable for classical computers. The control and measurement of qubits can't go on without the synchronous operation of digital-to-analog converters ... More

Word Segmentation as Graph PartitionApr 05 2018We propose a new approach to the Chinese word segmentation problem that considers the sentence as an undirected graph, whose nodes are the characters. One can use various techniques to compute the edge weights that measure the connection strength between ... More

A Short Introduction to NILENov 23 2013Oct 13 2014In this paper, we briefly introduce the Narrative Information Linear Extraction (NILE) system, a natural language processing library for clinical narratives. NILE is an experiment of our ideas on efficient and effective medical language processing. We ... More

Hierarchy and equivalence of multi-letter quantum finite automataDec 04 2008Mar 10 2009Multi-letter {\it quantum finite automata} (QFAs) were a new one-way QFA model proposed recently by Belovs, Rosmanis, and Smotrovs (LNCS, Vol. 4588, Springer, Berlin, 2007, pp. 60-71), and they showed that multi-letter QFAs can accept with no error some ... More

An Empirical Study of How Users Adopt Famous EntitiesSep 06 2012Users of social networking services construct their personal social networks by creating asymmetric and symmetric social links. Users usually follow friends and selected famous entities that include celebrities and news agencies. In this paper, we investigate ... More

A Survey of Prediction Using Social MediaMar 07 2012Social media comprises interactive applications and platforms for creating, sharing and exchange of user-generated contents. The past ten years have brought huge growth in social media, especially online social networking services, and it is changing ... More

State Complexity ApproximationJul 29 2009In this paper, we introduce the new concept of state complexity approximation, which is a further development of state complexity estimation. We show that this new concept is useful in both of the following two cases: the exact state complexities are ... More

Irreducibility of the Siegel moduli spaces with parahoric level structureFeb 23 2004Apr 10 2006We prove that the moduli space ${\mathcal A}_{g,\Gamma_0(p)}\otimes \bar {\mathbb F}_p$ of principally polarized abelian varieties of dimension $g$ with a $\Gamma_0(p)$-level structure in characteristic $p$ has $2^g$ irreducible components.The cases of ... More

Human Action Recognition and Prediction: A SurveyJun 28 2018Jul 02 2018Derived from rapid advances in computer vision and machine learning, video analysis tasks have been moving from inferring the present state to predicting the future state. Vision-based action recognition and prediction from videos are such tasks, where ... More

The supersingular loci and mass formulas on Siegel modular varietiesAug 18 2006Jan 24 2007We describe the supersingular locus of the Siegel 3-fold with a parahoric level structure. We also study its higher dimensional generalization. Using this correspondence and a deep result of Li and Oort, we evaluate the number of irreducible components ... More

On the slope stratification of certain Shimura varietiesNov 17 2004Apr 07 2005In this paper we study the slope stratification on the good reduction of the type C family Shimura varieties. We show that there is an open dense subset $U$ of the moduli space such that any point in $U$ can be deformed to a point with a given lower {\it ... More

Spin/orbital density wave and Mott insulator in two-orbital Hubbard model on honeycomb latticeDec 13 2018Jan 13 2019Inspired by recent discovery of correlated insulating states in twisted bilayer graphene (TBG), we study a two-orbital Hubbard model on the honeycomb lattice with two electrons per unit cell. Based on the real-space density matrix renormalization group ... More

Mass formula of division algebras over global function fieldsFeb 27 2011Jun 09 2011In this paper we give two proofs of the mass formula for definite central division algebras over global function fields, due to Denert and Van Geel. The first proof is based on a calculation of Tamagawa measures. The second proof is based on analytic ... More

Stable attosecond electron bunches from a nanofiber driven by Laguerre-Gaussian lasersApr 24 2018Generation of attosecond bunches of energetic electrons offers significant potential from ultrafast physics to novel radiation sources. However, it is still a great challenge to stably produce such electron beams with lasers, since the typical sub-femtosecond ... More

Class numbers of central simple algebras over global function fieldsAug 28 2012Let $K$ be a global function field together with a place $\infty$, and $A$ the subring of functions regular outside $\infty$. In this paper we present an effective method to evaluate the (locally free) class number of an arbitrary hereditary $A$-order ... More

Blind quantum machine learningJul 26 2015Blind quantum machine learning (BQML) enables a classical client with little quantum technology to delegate a remote quantum machine learning to the quantum server in such a approach that the privacy data is preserved. Here we propose the first BQML protocol ... More

Efficient hybrid entanglement concentration for quantum communicationsJul 23 2013We present two groups of practical entanglement concentration protocols (ECPs) for optical hybrid entangled state (HES). In the first group, it contains two ECPs and both ECPs do not need to know the initial coefficients of the less-entangled state. The ... More

Blind quantum computation with noise environmentSep 28 2016Blind quantum computation (BQC) is a new type of quantum computation model. BQC allows a client (Alice) who does not have enough sophisticated technology and knowledge to perform universal quantum computation and resorts a remote quantum computation server ... More

The heralded amplification for the single-photon multi-mode W state of the time-bin qubitJun 01 2016We put forward an effective amplification protocol for protecting the single-photon multi-mode W state of the time-bin qubit. The protocol only relies on linear optical elements, such as the $50:50$ beam splitters, variable beam splitters with the transmission ... More

Singularity problem in f(R) model with non-minimal couplingSep 12 2012Sep 16 2012We consider the non-minimal coupling between matter and the geometry in the f(R) theory. In the new theory which we established, a new scalar $\psi$ has been defined and we give it a certain stability condition. We intend to take a closer look at the ... More

Introducing the Adaptive Convex EnvelopingNov 11 2011Convexity, though extremely important in mathematical programming, has not drawn enough attention in the field of dynamic programming. This paper gives conditions for verifying convexity of the cost-to-go functions, and introduces an accurate, fast and ... More

Feasible logic Bell-state analysis with linear opticsNov 17 2015We describe a feasible logic Bell-state analysis protocol by employing the logic entanglement to be the robust concatenated Greenberger-Horne-Zeilinger (C-GHZ) state. This protocol only uses polarization beam splitters and half-wave plates, which are ... More

Purification of Logic-Qubit EntanglementNov 07 2015Recently, the theoretical work of Fr\"owis and W. D\"ur (Phys. Rev. Lett. \textbf{106}, 110402 (2011)) and the experiment of Lu \emph{et al.} (Nat. Photon. \textbf{8}, 364 (2014)) both showed that the logic-qubit entanglement has its potential application ... More

Generalized entanglement distillationApr 14 2014We present a way for the entanglement distillation of genuine mixed state. Different from the conventional mixed state in entanglement purification protocol, each components of the mixed state in our protocol is a less-entangled state, while it is always ... More

Deterministic entanglement distillation for secure double-server blind quantum computationNov 10 2013Blind quantum computation (BQC) provides an efficient method for the client who does not have enough sophisticated technology and knowledge to perform universal quantum computation. The single-server BQC protocol requires the client to have some minimum ... More

Computing Supply Function Equilibria via Spline ApproximationsFeb 03 2015Feb 04 2015The supply function equilibrium (SFE) is a model for competition in markets where each firm offers a schedule of prices and quantities to face demand uncertainty, and has been successfully applied to wholesale electricity markets. However, characterizing ... More

Complete classification of biconservative hypersurfaces with diagonalizable shape operator in Minkowski 4-spaceFeb 19 2015In this paper, we study biconservative hypersurfaces in the four dimensional Minkowski space $\mathbb E^4_1$. We give the complete explicit classification of biconservative hypersurfaces with diagonalizable shape operator in $\mathbb E^4_1$.

On superspecial abelian surfaces and type numbers of totally definite quaternion algebrasSep 12 2018In this paper we determine the number of endomorphism rings of superspecial abelian surfaces over a field $\mathbb{F}_q$ of odd degree over $\mathbb{F}_p$ in the isogeny class corresponding to the Weil $q$-number $\pm\sqrt{q}$. This extends earlier works ... More

Acceleration-extended Newton-Hooke symmetry and its dynamical realizationJun 08 2008Aug 05 2008Newton-Hooke group is the nonrelativistic limit of de Sitter (anti-de Sitter) group, which can be enlarged with transformations that describe constant acceleration, as well as central charges. We consider a higher order Lagrangian that is quasi-invariant ... More

$δ$(3)-ideal null 2-type hypersurfaces in Euclidean spacesDec 22 2014In the theory of finite type submanifolds, null 2-type submanifolds are the most simple ones, besides 1-type submanifolds (cf. e.g., [3, 12]). In particular, the classification problems of null 2-type hypersurfaces are quite interesting and of fundamentally ... More

Supersingular Kottwitz-Rapoport strata and Deligne-Lusztig varietiesFeb 22 2008Jul 10 2008We investigate Siegel modular varieties in positive characteristic with Iwahori level structure. On these spaces, we have the Newton stratification, and the Kottwitz-Rapoport stratification; one would like to understand how these stratifications are related ... More

The supersingular locus in Siegel modular varieties with Iwahori level structureJul 08 2008Nov 23 2009We study moduli spaces of abelian varieties in positive characteristic, more specifically the moduli space of principally polarized abelian varieties on the one hand, and the analogous space with Iwahori type level structure, on the other hand. We investigate ... More

$bs\bar u\bar d$ : A Promising Detectable TetraquarkSep 08 2017We propose to investigate a particle with four different flavors, $bs\bar u\bar d$, which is a promising detectable tetraquark state. Its $BK$ threshold, 5773 MeV, is 270 MeV higher than the $B_s\pi$ threshold of $bd\bar u\bar s$ and $bu\bar d\bar s$, ... More

Neural Networks and Quantifier Conservativity: Does Data Distribution Affect Learnability?Sep 15 2018All known natural language determiners are conservative. Psycholinguistic experiments indicate that children exhibit a corresponding learnability bias when faced with the task of learning new determiners. However, recent work indicates that this bias ... More

Optimal Sound Absorbing StructuresSep 30 2016Causal nature of the acoustic response, for any materials or structures, dictates an inequality that relates the absorption spectrum of the sample to its thickness. We present a general recipe for constructing sound-absorbing structures that can attain ... More

Topological phases protected by point group symmetryApr 27 2016We consider symmetry protected topological (SPT) phases with crystalline point group symmetry, dubbed point group SPT (pgSPT) phases. We show that such phases can be understood in terms of lower-dimensional topological phases with on-site symmetry, and ... More

Block Shelves for Visual Programming LanguagesMay 03 2016The blocks editor, such as the editor in Scratch, is widely applied for visual programming languages (VPL) nowadays. Despite it's friendly for non-programmers, it exists three main limitations while displaying block codes: (1) the readability, (2) the ... More

Valley Stoner Instability of the Composite Fermi SeaFeb 06 2018Oct 03 2018We study two-component electrons in the lowest Landau level at total filling factor $\nu _T=1/2$ with anisotropic mass tensors and principal axes rotated by $\pi/2$ as realized in Aluminum Arsenide (AlAs) quantum wells. Combining exact diagonalization ... More

EasyConvPooling: Random Pooling with Easy Convolution for Accelerating Training and TestingJun 05 2018Convolution operations dominate the overall execution time of Convolutional Neural Networks (CNNs). This paper proposes an easy yet efficient technique for both Convolutional Neural Network training and testing. The conventional convolution and pooling ... More

Holomorphic Anomaly in Gauge Theory on ALE spaceDec 12 2011We consider four-dimensional Omega-deformed N=2 supersymmetric SU(2) gauge theory on A1 space and its lift to five dimensions. We find that the partition functions can be reproduced via special geometry and the holomorphic anomaly equation. Schwinger ... More

Optimal control for fast and high-fidelity quantum gates in coupled superconducting flux qubitsJun 30 2014We apply the quantum optimal control theory based on the Krotov method to implement single-qubit $X$ and $Z$ gates and two-qubit CNOT gates for inductively coupled superconducting flux qubits with fixed qubit transition frequencies and fixed off-diagonal ... More

Biholomorphic Convex Mappings of Order alpha on the Unit Ball in Hilbert SpacesJan 21 2012In this paper, we first introduce the concept of biholomorphic convex mapping of order alpha on the unit ball B in a complex Hilbert space X. Next we provide some sufficient conditions that a locally biholomorphic mapping f is a biholomorphic convex mapping ... More

Feynman Rules for the Rational Part of One-loop QCD Corrections in the MSSMMay 07 2012Jun 27 2012The complete set of Feynman rules for the rational part R of QCD corrections in the MSSM are calculated at the one-loop level, which can be very useful in the next-to-leading order calculations in supersymmetric models. Our results are expressed in the ... More

Local Color Contrastive Descriptor for Image ClassificationAug 03 2015Image representation and classification are two fundamental tasks towards multimedia content retrieval and understanding. The idea that shape and texture information (e.g. edge or orientation) are the key features for visual representation is ingrained ... More

Experimental Single-Photon Transmission from Satellite to EarthJun 04 2013Free-space quantum communication with satellites opens a promising avenue for global secure quantum network and large-scale test of quantum foundations. Recently, numerous experimental efforts have been carried out towards this ambitious goal. However, ... More

Locally-Supervised Deep Hybrid Model for Scene RecognitionJan 27 2016Convolutional neural networks (CNN) have recently achieved remarkable successes in various image classification and understanding tasks. The deep features obtained at the top fully-connected layer of the CNN (FC-features) exhibit rich global semantic ... More

Laser-Ranging Long Baseline Differential Atom Interferometers for SpaceJan 31 2015High sensitivity differential atom interferometers are promising for precision measurements in science frontiers in space, including gravity field mapping for Earth science studies and gravitational wave detection. We propose a new configuration of twin ... More

Triple prompt $J/ψ$ hadroproduction as a hard probe of multiple-parton scatteringsFeb 13 2019We propose the process of triple prompt $J/\psi$ hadroproduction is a very clean hard probe of multiple-parton scatterings at high-energy hadron colliders, especially the least known triple-parton scattering. A first complete study is carried out by considering ... More

Leptonic Decay of Upsilon, a Possible Signature of New PhysicsNov 09 2009Apr 13 2010We calculate the inclusive decay width of $\Upsilon \to l^+ l^-$. Then we get the ratio $R_{\tau\mu}=\Gamma[\Upsilon \to \tau^+\tau^-]/ \Gamma[\Upsilon \to \mu^+\mu^-]$ to ${\cal{O}}(\alpha)$ and ${\cal{O}}(\alpha_s^2)$ within the Standard Model(SM). ... More

A Transition of Saturable and Reverse Saturable Absorption between Monolayer and Bilayer/Multilayer of TMDCsJul 26 2018The nonlinear absorption of two-dimensional molybdenum disulfide was analyzed using the Z-scan technique. Sample size corresponding to a number of later determines the band gap in the materials which play the key role for nonlinearity. Exciton dipole ... More

Test elements, retracts and automorphic orbitsJul 07 2008Let $A_2$ be a free associative or polynomial algebra of rank two over a field $K$ of characteristic zero. Based on the degree estimate of Makar-Limanov and J.-T.Yu, we prove: 1) An element $p \in A_2$ is a test element if $p$ does not belong to any proper ... More

Unfolding Polyelectrolytes in Trivalent Salt Solutions Using DC Electric Fields: A Study by Langevin Dynamics SimulationsApr 16 2009We study the behavior of single linear polyelectrolytes condensed by trivalent salt under the action of electric fields through computer simulations. The chain is unfolded when the strength of the electric field is stronger than a critical value. This ... More

Mesonic excitations and pi--pi scattering lengths at finite temperature in the two-flavor Polyakov--Nambu--Jona-Lasinio modelApr 19 2009The mesonic excitations and s-wave pi--pi scattering lengths at finite temperature are studied in the two-flavor Polyakov--Nambu--Jona-Lasinio (PNJL) model. The masses of pi-meson and sigma-meson, pion-decay constant, the pion-quark coupling strength, ... More

Inflationary dynamics and preheating of the non-minimally coupled inflaton field in the metric and Palatini formalismsJan 12 2018Jan 25 2018The inflationary dynamics and preheating in a model with a non-minimally coupled inflaton field in the metric and Palatini formalisms are studied in this paper. We find that in both formalisms, irrespective of the initial conditions, our Universe will ... More

The growth factor of matter perturbations in an f(R) gravityDec 10 2010The growth of matter perturbations in the $f(R)$ model proposed by Starobinsky is studied in this paper. Three different parametric forms of the growth index are considered respectively and constraints on the model are obtained at both the $1\sigma$ and ... More

Bayesian Estimation Based Load Modeling ReportOct 17 2018Jan 15 2019This report presents the detailed steps of establishing the composite load model in the power system. The derivations of estimation the ZIP model and IM model parameters are proposed in this report. This is a supplementary material for the paper submitted ... More

A New Kind of High-Order Multi-step Schemes for Forward Backward Stochastic Differential EquationsOct 20 2013Mar 26 2014In this work, we concern with the high order numerical methods for coupled forward-backward stochastic differential equations (FBSDEs). Based on the FBSDEs theory, we derive two reference ordinary differential equations (ODEs) from the backward SDE, which ... More

Effect of chain stiffness on ion distributions around a polyelectrolyte in multivalent salt solutionsDec 21 2009Ion distributions in dilute polyelectrolyte solutions are studied by means of Langevin dynamics simulations. We show that the distributions depend on the conformation of a chain while the conformation is determined by the chain stiffness and the salt ... More

Fixed points and homology of superelliptic JacobiansSep 02 2013Sep 11 2013Let $\eta: C_{f,N}\to \mathbb{P}^1$ be a cyclic cover of $\mathbb{P}^1$ of degree $N$ which is totally and tamely ramified for all the ramification points. We determine the group of fixed points of the cyclic group $\mathbf{mu}_N\cong \mathbb{Z}/N\mathbb{Z}$ ... More

Monomial, Gorenstein and Bass OrdersAug 27 2013Sep 24 2015In this article we study a class of orders called {\it monomial orders} in a central simple algebra over a non-Archimedean local field. Monomial orders are easily represented and they may be also viewed as a direct generalization of Eichler orders in ... More

-1 Krall-Jacobi PolynomialsMay 31 2012Feb 19 2015We study a family of orthogonal polynomials which satisfy (apart from a 3-term recurrence relation) an eigenvalue equation involving a third order differential operator of Dunkl-type. The orthogonality measure of these polynomials consists in the continuous ... More

Noise and chaotic disturbance on self-similar setDec 25 1998The effect of noise on self-similar set is studied. The iteratie procedure used to generate the self-similar set is moidified by adding a stochastic variable to the diameter of generating sets at each iteration. The noise may causes the generating set ... More

Modeling and Analysis of Tagging Networks in Stack Exchange CommunitiesFeb 06 2019Large Question-and-Answer (Q&A) platforms support diverse knowledge curation on the Web. While researchers have studied user behavior on the platforms in a variety of contexts, there is relatively little insight into important by-products of user behavior ... More

Production of gravitational waves during preheating with nonminimal couplingNov 29 2017Apr 30 2018We study the preheating and the in-process production of gravitational waves (GWs) after inflation in which the inflaton is nonminimally coupled to the curvature in a self-interacting quartic potential with the method of lattice simulation. We find that ... More

The growth of linear perturbations in the DGP modelMay 11 2009May 28 2009We study the linear growth of matter perturbations in the DGP model with the growth index $\gamma$ as a function of redshift. At the linear approximation: $\gamma(z)\approx\gamma_0+\gamma_0^\prime z $, we find that, for $0.2\leq\Omega_{m,0}\leq0.35$, ... More

Brownian motion of a charged test particle driven by vacuum fluctuations near a dielectric half-spaceJul 19 2008We study the Brownian motion of a charged test particle driven by quantum electromagnetic fluctuations in the vacuum region near a non-dispersive and non-absorbing dielectric half-space and calculate the mean squared fluctuations in the velocity of the ... More

Unit groups of maximal orders in totally definite quaternion algebras over real quadratic fieldsJul 12 2018We study a form of refined class number formula (resp. type number formula) for maximal orders in totally definite quaternion algebras over real quadratic fields, by taking into consideration the automorphism groups of right ideal classes (resp. unit ... More

Role of chain stiffness on the conformation of single polyelectrolytes in salt solutionsMay 31 2007Conformation of single polyelectrolytes in tetravalent salt solutions is investigated under the framework of a coarse-grained model, using Langevin dynamics simulations. The chain size, studied by the radius of gyration, shows three different variational ... More

Optimizing Quantum Walk Search on a Reduced Uniform Complete Multi-Partite GraphJun 16 2017Feb 21 2018In a recent work by Novo et al. (Sci. Rep. 5, 13304, 2015), the invariant subspace method was applied to the study of continuous-time quantum walk (CTQW). The method helps to reduce a graph into a simpler version that allows more transparent analyses ... More

The growth of matter perturbations in the f(T) gravityApr 11 2012In this paper, we study the growth index of matter density perturbations for the power law model in $f(T)$ gravity. Using the parametrization $\gamma(z)=\gamma_0+\gamma_1 {z\over 1+z}$ for the growth index, which approximates the real evolution of $\gamma(z)$ ... More