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Uniform convergence rate for Birkhoff means of certain uniquely ergodic toral mapsJun 17 2019We obtain estimates on the uniform convergence rate of the Birkhoff average of a continuous observable over torus translations and affine skew product toral transformations. The convergence rate depends explicitly on the modulus of continuity of the observable ... More

Livsic theorem for diffeomorphism cocyclesNov 06 2017May 06 2018We prove the so called Liv\v{s}ic theorem for cocycles taking values in the group of $C^{1+\beta}-diffeomorphisms of any closed manifold of arbitrary dimension. Since no localization hypothesis is assumed, this result is completely global in the space ... More

Prime Ends Dynamics in Parametrised Families of Rotational AttractorsJun 11 2019We provide several new examples in dynamics on the $2$-sphere, with the emphasis on better understanding the induced boundary dynamics of invariant domains in parametrized families. First, motivated by a topological version of the Poincar\'e-Bendixson ... More

Minimal non-invertible maps on the pseudo-circleOct 17 2018In this article, we show that R.H. Bing's pseudo-circle admits a minimal non-invertible map. This resolves a problem raised by Bruin, Kolyada and Snoha in the negative. The main tool is the Denjoy-Rees technique, further developed by B\'eguin-Crovisier-Le ... More

How far are the sources of IceCube neutrinos? Constraints from the diffuse TeV gamma-ray backgroundFeb 22 2016May 18 2016The nearly isotropic distribution of the TeV-PeV neutrinos recently detected by IceCube suggests that they come from sources at distance beyond our Galaxy, but how far they are is largely unknown due to lack of any associations with known sources. In ... More

Star-forming galaxies as the origin of the IceCube PeV neutrinosDec 29 2014Mar 23 2015Star-forming galaxies, due to their high star-formation rates and hence large number of supernova remnants therein, are huge reservoirs of cosmic rays (CRs). These CRs collide with gases in the galaxies and produce high-energy neutrinos through $pp$ collisions. ... More

Pigeonring: A Principle for Faster Thresholded Similarity SearchApr 04 2018Jun 06 2018The pigeonhole principle states that if n items are contained in m boxes, then at least one box has no more than n/m items. It is utilized to solve many data management problems, especially for thresholded similarity searches. Despite many pigeonhole ... More

Inverse resonance problems for the Schroedinger operator on the real line with mixed given dataMar 06 2017Sep 13 2017In this work, we study inverse resonance problems for the Schr\"odinger operator on the real line with the potential supported in $[0,1]$. In general, all eigenvalues and resonances can not uniquely determine the potential. (i) It is shown that if the ... More

Solvability of the inverse scattering problem for the selfadjoint matrix Schrodinger operator on the half lineMar 04 2017Aug 25 2017In this work we study the inverse scattering problem for the selfadjoint matrix Schrodinger operator on the half line. We provide the necessary and sufficient conditions for the solvability of the inverse scattering problem.

Determination of matrix potential from scattering matrixMar 08 2017Apr 14 2017(i) For the matrix Schr\"{o}dinger operator on the half line, it is shown that if the potential exponentially decreases fast enough then only the scattering matrix uniquely determines the self-adjoint potential and the boundary condition. (ii) For the ... More

Curvature radius and Kerr black hole shadowApr 16 2019We consider applications of the curvature radius of a Kerr black hole shadow and propose three new approaches to simultaneously determine the black hole spin and inclination angle of the observer. The first one uses only two symmetric characteristic points, ... More

Efficient Parallel Simulation of Blood Flows in Abdominal AortaJun 10 2019It is known that the maximum diameter for the rupture-risk assessment of the abdominal aortic aneurysm is a generally good method, but not sufficient. Alternative features obtained with computational modeling may provide additional useful criteria. Though ... More

Gain lifetime characterization through time-resolved stimulated emission in a whispering-gallery mode microresonatorOct 09 2018The precise measurement of the gain lifetime at a specific wavelength holds significant importance for understanding the properties of photonic devices and further improving their performances. Here, we show that the evolution of gains can be well characterized ... More

Inverse spectral problems for the Sturm-Liouville operator with discontinuityMar 04 2017In this work, we consider the Sturm-Liouville operator on a finite interval $[0,1]$ with discontinuous conditions at $1/2$. We prove that if the potential is known a priori on a subinterval $[b,1]$ with $b\ge1/2$, then parts of two spectra can uniquely ... More

Modeling the gamma-ray emission in the Galactic Center with a fading cosmic-ray acceleratorSep 05 2016Dec 19 2016Recent HESS observations of the ~200 pc scale diffuse gamma-ray emission from the central molecular zone (CMZ) suggest the presence of a PeV cosmic-ray accelerator (PeVatron) located in the inner 10 pc region of the Galactic Center. Interestingly, the ... More

Semihierarchical quantum repeaters based on moderate lifetime quantum memoriesJan 20 2017The construction of large-scale quantum networks relies on the development of practical quantum repeaters. Many approaches have been proposed with the goal of outperforming the direct transmission of photons, but most of them are inefficient or difficult ... More

Multiparticle Entanglement Resolution Analyzer based on Quantum-Control-Assisted Uncertainty RelationJan 31 2019We construct a quantum-control-assisted multi-observable variance-based uncertainty relation, and the uncertainty relation obtained indicates that we can prepare a quantum state, in which the measurement results of any observables can be predicted precisely ... More

On paratopological groupsFeb 18 2013In this paper, we firstly construct a Hausdorff non-submetrizable paratopological group $G$ in which every point is a $G_{\delta}$-set, which gives a negative answer to Arhangel'ski\v{\i}\ and Tkachenko's question [Topological Groups and Related Structures, ... More

An arbitrary two-particle high-dimensional Bell state measurement by auxiliary entanglementJan 05 2019Jan 08 2019Bell state measurement (BSM) plays a vital role in quantum information. There are many researches on BSM of qubit Bell state, however, there is no definite solution of how to realize high-dimensional Bell state measurement (HDBSM). In this paper, We present ... More

Experimental multi-level quantum teleportationApr 28 2019Quantum teleportation provides a way to transmit unknown quantum states from one location to another via previously shared quantum entanglement and classical communications. Discrete variable states and continuous variable states in one degree of freedom ... More

Beating the channel capacity limit for superdense coding with entangled ququartsJul 27 2018Quantum superdense coding protocols enhance channel capacity by using shared quantum entanglement between two users. The channel capacity can be as high as 2 when one uses entangled qubits. However, this limit can be surpassed by using high-dimensional ... More

A hybrid LBM-DEM numerical approach with an improved immersed moving boundary method for complex particle-liquid flows involving adhesive particlesJan 28 2019This paper presents a hybrid numerical framework for modelling solid-liquid flow with particle adhesion based on a coupled single-relaxation-time lattice Boltzmann method (LBM) and a discrete element method (DEM) for adhesive particles. The LBM is implemented ... More

Factorization and Unitarity in Superstring TheoryMar 31 2005Jul 31 2005The overall coefficient of the two-loop 4-particle amplitude in superstring theory is determined by making use of the factorization and unitarity. To accomplish this we computed in detail all the relevant tree and one-loop amplitudes involved and determined ... More

Factorization of the Two Loop Four-Particle Amplitude in Superstring Theory RevisitedDec 02 2004Apr 01 2005We study in detail the factorization of the newly obtained two-loop four-particle amplitude in superstring theory. In particular some missing factors from the scalar correlators are obtained correctly, in comparing with a previous study of the factorization ... More

Lattice study on kaon nucleon scattering length in the I=1 channelSep 12 2003Nov 14 2003Using the tadpole improved clover Wilson quark action on small, coarse and anisotropic lattices, $KN$ scattering length in the I=1 channel is calculated within quenched approximation. The results are extrapolated towards the chiral and physical kaon mass ... More

Lattice study on kaon pion scattering length in the $I=3/2$ channelMar 28 2004Using the tadpole improved Wilson quark action on small, coarse and anisotropic lattices, $K\pi$ scattering length in the $I=3/2$ channel is calculated within quenched approximation. The results are extrapolated towards the chiral and physical kaon mass ... More

I=2 Pion scattering length with improved actions on anisotropic latticesApr 26 2004$\pi\pi$ scattering length in the I=2 channel is calculated within quenched approximation using improved gauge and improved Wilson fermion actions on anisotropic lattices. The results are extrapolated towards the chiral, infinite volume and continuum ... More

Revisiting the electron-doped SmFeAsO: enhanced superconductivity up to 58.6 K by Th and F codopingNov 15 2017In the iron-based high-Tc bulk superconductors, Tc above 50K was only observed in the electron-doped 1111-type compounds. Here we revisit the electron-doped SmFeAsO polycrystals to make a further investigation for the highest T-c in these materials. To ... More

Superconductivity in the ternary iridium-arsenide BaIr2As2Aug 30 2016Here we report the synthesis and discovery of superconductivity in a novel ternary iridium-arsenide compound BaIr2As2. The polycrystalline BaIr2As2 sample was synthesized by a high temperature and high pressure method. Crystal structural analysis indicates ... More

Quantum Storage of Three-Dimensional Orbital-Angular-Momentum Entanglement in a CrystalDec 17 2014Aug 15 2015Here we present the quantum storage of three-dimensional orbital-angular-momentum photonic entanglement in a rare-earth-ion-doped crystal. The properties of the entanglement and the storage process are confirmed by the violation of the Bell-type inequality ... More

Searching for initial stage of massive star formation around the H II region G18.2-0.3Mar 07 2017Sometimes the early star formation can be found in cold and dense molecular clouds, such as infrared dark cloud (IRDC). Considering star formation often occurs in clustered condition, HII regions may be triggering a new generation of star formation, so ... More

Measurement-device-independent quantification of irreducible high-dimensional entanglementJan 04 2019Apr 08 2019The certification and quantification of entanglement are of great importance in characterizing entangled systems. Recently it is pointed out that the quantum correlation of higher dimensional bipartite states can be simulated with a sequence of lower ... More

Nonlocality from local contextualityMar 27 2016Nov 23 2016We experimentally show that nonlocality can be produced from single-particle contextuality by using two-particle correlations which do not violate any Bell inequality by themselves. This demonstrates that nonlocality can come from an {\em a priori} different ... More

Multiplexed storage and real-time manipulation based on a multiple-degree-of-freedom quantum memoryAug 05 2018Sep 05 2018The faithful storage and coherent manipulation of quantum states with matter-systems enable the construction of large-scale quantum networks based on quantum repeater. To achieve useful communication rates, highly multimode quantum memories will be required ... More

Experimental observation of anomalous trajectories of single photonsApr 20 2017A century after its conception, quantum mechanics still hold surprises that contradict many "common sense" notions. The contradiction is especially sharp in case one consider trajectories of truly quantum objects such as single photons. From a classical ... More

Superconductivity at 3.1 K in the orthorhombic ternary silicide ScRuSiNov 15 2017We report the synthesis, crystal structure, superconductivity and physical property characterizations of the ternary equiatomic compound ScRuSi. Polycrystalline samples of ScRuSi were prepared by an arc-melting method. The as-prepared samples were identified ... More

Experimental investigating communication in a superposition of causal ordersNov 19 2018Quantum mechanics allows for the superposition of quantum states, thereby bringing about the great success of quantum communications. Recently, in the so-called quantum switch, the relative orders between quantum operations can also be coherently controlled ... More

Experimental creation of superposition of unknown photonic quantum statesMay 08 2016May 18 2016As one of the most intriguing intrinsic properties of quantum world, quantum superposition provokes great interests in its own generation. Oszmaniec [Phys. Rev. Lett. 116, 110403 (2016)] have proven that though a universal quantum machine that creates ... More

Experimental Ultra-small Longitudinal Phase Estimation via Weak Measurement AmplificationMar 21 2018Weak value amplification has been applied to various small physical quantities estimation, however there still lacks a practical feasible protocol to amplify ultra-small longitudinal phase, which is of importance in high precision measurement. Very recently, ... More

Observation of stronger-than-binary correlations with entangled photonic qutritsDec 18 2017May 05 2018We present the first experimental confirmation of the quantum-mechanical prediction of stronger-than-binary correlations. These are correlations that cannot be explained under the assumption that the occurrence of a particular outcome of an $n \ge 3$-outcome ... More

Entanglement detection by violations of noisy uncertainty relations: A proof of principleOct 12 2018Nov 22 2018It is well-known that the violation of a local uncertainty relation can be used as an indicator for the presence of entanglement. Unfortunately, the practical use of these non-linear witnesses has been limited to few special cases in the past. However, ... More

Two-Dimensional Molecular Gas and ongoing star formation around H II region Sh2-104Sep 26 2017We performed a multiwavelength study towards HII region Sh2-104. New maps of 12CO J=1-0 and 13CO J=1-0 were obtained from the Purple Mountain Observatory (PMO) 13.7 m radio telescope. Sh2-104 displays a double-ring structure. The outer ring with a radius ... More

Experimental Realization of Sequential Weak Measurements of Arbitrary Non-commuting Pauli ObservablesMay 06 2018Sequential weak measurements of non-commuting observables is not only fundamentally interesting in quantum measurement but also shown potential in various applications. The previous reported methods, however, can only realize limited sequential weak measurements ... More

Efficient superdense coding in the presence of non-Markovian noiseApr 28 2015Apr 28 2016Many quantum information tasks rely on entanglement, which is used as a resource, for example, to enable efficient and secure communication. Typically, noise, accompanied by loss of entanglement, reduces the efficiency of quantum protocols. We develop ... More

Discovery of a novel 112-type iron-pnictide and La-doping induced superconductivity in Eu1-xLaxFeAs2 (x = 0 ~ 0.15)Nov 21 2016We report the discovery and characterization of a novel 112-type iron pnictide EuFeAs2, with La-doping induced superconductivity in a series of Eu1-xLaxFeAs2. The polycrystalline samples were synthesized through solid state reaction method only within ... More

Strongly Interacting Higgs Sector in the Minimal Standard Model?May 03 1993The triviality Higgs mass bound is studied with a higher derivative regulator in the spontaneously broken phase of the four dimensional O(4) symmetric scalar field theory with quartic self-interaction. The phase diagram of the O(4) model is determined ... More

Graphic Enumerations and Discrete Painlevé Equations via Random Matrix ModelsDec 26 2017We revisit the enumeration problems of random discrete surfaces (RDS) based on solutions of the discrete equations derived from the matrix models. For RDS made of squares, the recursive coefficients of orthogonal polynomials associated with the quartic ... More

The $k_{R}$-property of free Abelian topological groups and products of sequential fansOct 08 2016Nov 27 2017A space $X$ is called a $k_{R}$-space, if $X$ is Tychonoff and the necessary and sufficient condition for a real-valued function $f$ on $X$ to be continuous is that the restriction of $f$ to each compact subset is continuous. In this paper, we discuss ... More

The $k$-property and countable tightness of free topological vector spacesJun 07 2017Aug 22 2017The free topological vector space $V(X)$ over a Tychonoff space $X$ is a pair consisting of a topological vector space $V(X)$ and a continuous map $i=i_{X}: X\rightarrow V(X)$ such that every continuous mapping $f$ from $X$ to a topological vector space ... More

The topological properties of $q$-spaces in free topological groupsJul 17 2015Sep 21 2015Given a Tychonoff space $X$, let $F(X)$ and $A(X)$ be respectively the free topological group and the free Abelian topological group over $X$ in the sense of Markov. In this paper, we provide some topological properties of $X$ whenever one of $F(X)$, ... More

Anatomy of a q-generalization of the Laguerre/Hermite Orthogonal PolynomialsDec 29 2016Dec 15 2017We study a q-generalization of the classical Laguerre/Hermite orthogonal polynomials. Explicit results include: the recursive coefficients, matrix elements of generators for the Heisenberg algebra, and the Hankel determinants. The power of quadratic relation ... More

The Higgs Model with a Complex Ghost PairMay 03 1993A higher derivative term is introduced in the kinetic energy of the Higgs Lagrangian in the minimal Standard Model. A logically consistent and {\it finite} field theory is obtained when some excitations of the Higgs field are quantized with indefinite ... More

A Heavy Higgs Particle in the TeV Mass Range ?Jan 18 1994The first simulation results are presented on Higgs mass calculations in the spontaneously broken phase of the Higgs sector in the minimal Standard Model with higher derivative regulator. A heavy Higgs particle is found in the TeV mass range in the presence ... More

Strongly Interacting Higgs Sector in the Minimal Standard Model?Dec 21 1992The triviality Higgs mass bound is studied {\it without} lattice regulator in the spontaneously broken phase of the four dimensional O(4) symmetric scalar field theory with quartic self-interaction. A higher derivative term is introduced in the kinetic ... More

The $k_{R}$-property on free topological groupsOct 08 2016Jun 07 2017A space $X$ is called a $k_{R}$-space, if $X$ is Tychonoff and the necessary and sufficient condition for a real-valued function $f$ on $X$ to be continuous is that the restriction of $f$ on each compact subset is continuous. In this paper, we mainly ... More

Two Weak Forms of Countability Axioms in Free Topological GroupsJul 15 2015Apr 18 2016Given a Tychonoff space $X$, let $F(X)$ and $A(X)$ be respectively the free topological group and the free Abelian topological group over $X$ in the sense of Markov. For every $n\in\mathbb{N}$, let $F_{n}(X)$ (resp. $A_n(X)$) denote the subspace of $F(X)$ ... More

Two Particle States in a Box and the $s$-Matrix in Multi-Channel ScatteringAug 25 2005Aug 29 2005Using a quantum mechanical model, the exact energy eigenstates for two-particle two-channel scattering are studied in a cubic box with periodic boundary conditions. A relation between the exact energy eigenvalue in the box and the two-channel $S$-matrix ... More

Two Particle States in an Asymmetric Box and the Elastic Scattering PhasesApr 01 2004The exact two-particle energy eigenstates in a generic asymmetric rectangular box with periodic boundary conditions in all three directions are studied. Their relation with the elastic scattering phases of the two particles in the continuum are obtained ... More

A q-generalization of the Toda equations for the q-Laguerre/Hermite orthogonal polynomialsMay 01 2018Based on the motivation of generalizing the correspondence between the Lax equation for the Toda lattice and the deformation theory of the orthogonal polynomials, we derive a q-deformed version of the Toda equations for both q-Laguerre/Hermite ensembles, ... More

Two Particle States and the $S$-matrix Elements in Multi-channel ScatteringApr 25 2005Jun 01 2005Using a quantum mechanical model, the exact energy eigenstates for two-particle two-channel scattering are studied in a cubic box with periodic boundary conditions in all three directions. A relation between the exact energy eigenvalue in the box and ... More

The countable type properties in free paratopological groupsNov 01 2016A space $X$ is of countable type (resp. subcountable type) if every compact subspace $F$ of $X$ is contained in a compact subspace $K$ that is of countable character (resp. countable pseudocharacter) in $X$. In this paper, we mainly show that: (1) For ... More

A note on rectifiable spacesJun 20 2011Oct 07 2011In this paper, we firstly discuss the question: Is $l_{2}^{\infty}$ homeomorphic to a rectifiable space or a paratopological group? And then, we mainly discuss locally compact rectifiable spaces, and show that a locally compact and separable rectifiable ... More

The rational parts of one-loop QCD amplitudes III: The six-gluon caseJul 03 2006Sep 11 2006The rational parts of 6-gluon one-loop amplitudes with scalars circulating in the loop are computed by using the newly developed method for computing the rational parts directly from Feynman integrals. We present the analytic results for the two MHV helicity ... More

CiNCT: Compression and retrieval for massive vehicular trajectories via relative movement labelingJun 09 2017Sep 29 2017In this paper, we present a compressed data structure for moving object trajectories in a road network, which are represented as sequences of road edges. Unlike existing compression methods for trajectories in a network, our method supports pattern matching ... More

Two-step Quantum Key Distribution Schemes Using Polarization and Frequency Doubly Entangled PhotonsOct 06 2007A two-step quantum key distribution protocol using frequency and polarization doubly entangled photons is proposed. In this protocol, information is encoded by a unitary operation on each of the two doubly entangled photons and sent from Alice to Bob ... More

The rational parts of one-loop QCD amplitudes I: The general formalismJul 03 2006Sep 11 2006A general formalism for computing only the rational parts of oneloop QCD amplitudes is developed. Starting from the Feynman integral representation of the one-loop amplitude, we use tensor reduction and recursive relations to compute the rational parts ... More

Interacting Valley Chern Insulator and its Topological Imprint on Moiré SuperconductorsJun 17 2019One salient feature of systems with Moir\'{e} superlattice is that, Chern number of "minibands" originating from each valley of the original graphene Brillouin zone becomes a well-defined quantized number because the miniband from each valley can be isolated ... More

Estimates of complex eigenvalues and an inverse spectral problem for the transmission eigenvalue problemMar 06 2017Sep 13 2017This work deals with the interior transmission eigenvalue problem: $y'' + {k^2}\eta \left( r \right)y = 0$ with boundary conditions ${y\left( 0 \right) = 0 = y'\left( 1 \right)\frac{{\sin k}}{k} - y\left( 1 \right)\cos k},$ where the function $\eta(r)$ ... More

Lattice models for Non-Fermi Liquids with Tunable Transport ScalingsFeb 26 2019A variety of exotic non-fermi liquid (NFL) states have been observed in many condensed matter systems, with different scaling relations between transport coefficients and temperature. The "standard" approach to studying these NFLs is by coupling a Fermi ... More

Coupled Wire description of the Correlated Physics in Twisted Bilayer GrapheneNov 20 2018Apr 10 2019Since the discovery of superconductivity and correlated insulator at fractional electron fillings in the twisted bilayer graphene, most theoretical efforts have been focused on describing this system in terms of an effective extended Hubbard model. However, ... More

Simulation of unsteady blood flows in a patient-specific compliant pulmonary artery with a highly parallel monolithically coupled fluid-structure interaction algorithmOct 09 2018Computational fluid dynamics (CFD) is increasingly used to study blood flows in patient-specific arteries for understanding certain cardiovascular diseases. The techniques work quite well for relatively simple problems, but need improvements when the ... More

Tiny Graviton Matrix Theory On Time-Dependent BackgroundAug 27 2008Dec 20 2008In this article we construct a tiny graviton matrix model for type IIB string theory on a plane-wave background with null dilaton. For the linear null dilaton case, we analyze its vacuum and the excitation spectrum around the vacuum, and discuss the time-dependent ... More

The Helicity Amplitude for $1/2$ and $3/2^+$ Baryon in the Pseudo-Meson Photoproduction in the Quark ModelJan 21 2015Aug 21 2015We derive the separate helicity amplitudes involving the partial wave analysis in the process of pseudo-scalar meson photon productions with $J^P=3/2^+$, which is independent on model. According to parity, the general amplitude in the case of $J^P=1/2^-$ ... More

Rank-one Characterization of Joint Spectral Radius of Finite Matrix FamilySep 07 2011Dec 29 2016In this paper we study the joint/generalized spectral radius of a finite set of matrices in terms of its rank-one approximation by singular value decomposition. In the first part of the paper, we show that any finite set of matrices with at most one element's ... More

Minimal submanifolds in certain types of kaehler product manifoldDec 20 2016Jan 05 2017Let $M$ be a real $l$-dimensional minimal submanifold with flat normal connection in a kaehler product manifold $\overline{M}^m\times \overline{M}^n$ where $\overline{M}^m$ and $\overline{M}^n$ are complex $m$-dimensional and complex $n$-dimensional kaehler ... More

The rational parts of one-loop QCD amplitudes II: The five-gluon caseJul 03 2006Sep 11 2006The rational parts of 5-gluon one-loop amplitudes are computed by using the newly developed method for computing the rational parts directly from Feynman integrals. We found complete agreement with the previously well-known results of Bern, Dixon and ... More

SSthreshless Start: A Sender-Side TCP Intelligence for Long Fat NetworkJan 28 2014Measurement shows that 85% of TCP flows in the internet are short-lived flows that stay most of their operation in the TCP startup phase. However, many previous studies indicate that the traditional TCP Slow Start algorithm does not perform well, especially ... More

Massive Domain Wall Fermions on Four-dimensional Anisotropic LatticesJul 17 2006Jul 27 2006We formulate the massive domain wall fermions on anisotropic lattices. For the massive domain wall fermion, we find that the dispersion relation assumes the usual form in the low momentum region when the bare parameters are properly tuned. The quark self-energy ... More

Radially Excited States of 1P Charmonia and X(3872)Jan 25 2007Jul 18 2008The excited states of charmonia are numerically investigated in quenched lattice QCD with improved gauge and Wilson fermion actions formulated on anisotropic lattices. Through a constrained curve fitting algorithm, the masses of the first excited states ... More

Intrinsic nature of the Stein-Weiss $H^1$-inequalityApr 08 2019May 14 2019This paper explores the intrinsic nature of the celebrated Stein-Weiss $H^1$-inequality $$ \|I_s u\|_{L^\frac{n}{n-s}}\lesssim \|u\|_{L^1}+\|\vec{R}u\|_{L^{1}}=\|u\|_{H^1} $$ through the tracing and duality laws based on Riesz's singular integral operator ... More

D1-D3 (or $\bar{\textrm{D}3}$) Systems with FluxesJun 22 2008Jun 29 2008In this article we study D1-D3 (or $\bar{\textrm{D}3}$) brane systems with generic constant electric and magnetic fluxes in IIB string theory. We work out all possible supersymmetric configurations and find out via T-duality all of them and corresponding ... More

On electromagnetic scattering from a penetrable cornerNov 14 2016This article is concerned with the time-harmonic electromagnetic (EM) scattering from a generic inhomogeneous medium. It is shown that if there is a right corner on the support of the medium, then it scatters every pair of incident EM fields, excluding ... More

Decoupling Elastic Waves and Its ApplicationsSep 13 2015In this paper, we consider time-harmonic elastic wave scattering governed by the Lam\'e system. It is known that the elastic wave field can be decomposed into the shear and compressional parts, namely, the pressure and shear waves that are generally coexisting, ... More

Dynamical Dimension Change in Supercritical String TheorySep 07 2004Sep 07 2004We study tree-level solutions to heterotic string theory in which the number of spacetime dimensions 10+n changes dynamically due to closed string tachyon condensation. Taking the large-n limit, we compute the amount by which the dilaton gradient changes ... More

Modular invariants and singularity indices of hyperelliptic fibrationsMay 06 2016The modular invariants of a family of semistable curves are the degrees of the corresponding divisors on the image of the moduli map. The singularity indices were introduced by G. Xiao to classify singular fibers of hyperelliptic fibrations and to compute ... More

Resonance identity and multiplicity of non-contractible closed geodesics on Finsler $\mathbb{R}P^{n}$Jul 10 2016Jul 31 2017In this paper, we establish first the resonance identity for non-contractible homologically visible prime closed geodesics on Finsler $n$-dimensional real projective space $(\mathbb{R}P^n,F)$ when there exist only finitely many distinct non-contractible ... More

Rank-one Characterization of Joint Spectral Radius of Finite Matrix FamilySep 07 2011Jan 04 2013In this paper we study the joint/generalized spectral radius of a finite set of matrices in terms of its rank-one approximation by singular value decomposition. In the first part of the paper, we show that any finite set of matrices with at most one element's ... More

Local electronic structures on the superconducting interface $LaAlO_{3}/SrTiO_{3}$Mar 23 2010Apr 14 2010Motivated by the recent discovery of superconductivity on the heterointerface $LaAlO_{3}/SrTiO_{3}$, we theoretically investigate its local electronic structures near an impurity considering the influence of Rashba-type spin-orbit interaction (RSOI) originated ... More

Time-invariant entanglement and sudden death of non-localityMar 30 2016Dec 13 2016We investigate both theoretically and experimentally the dynamics of entanglement and non-locality for two qubits immersed in a global pure dephasing environment. We demonstrate the existence of a class of states for which entanglement is forever frozen ... More

The effects of ionization feedback on star formation: A case study of the M16 H II regionMay 20 2019We aim to investigate the impact of the ionized radiation from the M16 HII region on the surrounding molecular cloud and on its hosted star formation. To present comprehensive multi-wavelength observations towards the M16 HII region, we used new CO data ... More

Achieving Heisenberg-scaling precision with projective measurement on single photonsAug 08 2018It has been suggested that both quantum superpositions and nonlinear interactions are important resources for quantum metrology. However, to date the different roles that these two resources play in the precision enhancement are not well understood. Here, ... More

Distinguishing the right-handed up/charm quarks from top quark via discrete symmetries in the standard model extensionsNov 14 2013Sep 09 2014We propose a class of the two Higgs doublet Standard models (SMs) with a SM singlet and a class of supersymmetric SMs with two pairs of Higgs doublets, where the right-handed up/charm quarks and the right-handed top quark have different quantum numbers ... More

On-demand generation of shallow silicon vacancy in silicon carbideOct 26 2018Defects in silicon carbide have been explored as promising spin systems in quantum technologies. However, for practical quantum metrology and quantum communication, it is critical to achieve the on-demand shallow spin-defect generation. In this work, ... More

Time-invariant entanglement and sudden death of non-localityMar 30 2016We investigate both theoretically and experimentally the dynamics of entanglement and non-locality for two qubits immersed in a global pure dephasing environment. We demonstrate the existence of a class of states for which entanglement is forever frozen ... More

The three-parameter correlations about optical plateaus of gamma-ray burstsJun 30 2018Well-sampled optical light curves of 50 gamma-ray bursts (GRBs) with plateau features are compiled from the literature. By empirical fitting, we obtained the parameters of the optical plateaus, such as the decay slopes ($\alpha_{\rm 1}$ and $\alpha_{\rm ... More

Distributed Continuous Range-Skyline Query Monitoring over the Internet of Mobile ThingsApr 24 2019A Range-Skyline Query (RSQ) is the combination of range query and skyline query. It is one of the practical query types in multi-criteria decision services, which may include the spatial and non-spatial information as well as make the resulting information ... More

Probabilistic Top-k Dominating Query Monitoring over Multiple Uncertain IoT Data Streams in Edge Computing EnvironmentsJun 01 2019Extracting the valuable features and information in Big Data has become one of the important research issues in Data Science. In most Internet of Things (IoT) applications, the collected data are uncertain and imprecise due to sensor device variations ... More

A Raman-Heterodyne Study of the Hyperfine Interaction of the Optically-Excited State $^5$D$_0$ of Eu$^{3+}$:Y$_2$SiO$_5$Nov 06 2017Jan 28 2018The spin coherence time of $^{151}$Eu$^{3+}$ which substitutes the yttrium at site 1 in Y$_2$SiO$_5$ crystal has been extended to 6 hours in a recent work [\textit{Nature} \textbf{517}, 177 (2015)]. To make this long-lived spin coherence useful for optical ... More

Storage of multiple single-photon pulses emitted from a quantum dot in a solid-state quantum memoryOct 19 2015Quantum repeaters are critical components for distributing entanglement over long distances in presence of unavoidable optical losses during transmission. Stimulated by Duan-Lukin-Cirac-Zoller protocol, many improved quantum-repeater protocols based on ... More

Dynamical behaviors of FRW Universe containing a positive/negative potential scalar field in loop quantum cosmologyFeb 06 2013The dynamical behaviors of FRW Universe containing a posivive/negative potential scalar field in loop quantum cosmology scenario are discussed. The method of the phase-plane analysis is used to investigate the stability of the Universe. It is found that ... More