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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

Online learning in optical tomography: a stochastic approachOct 26 2017May 30 2018We study the inverse problem of radiative transfer equation (RTE) using stochastic gradient descent method (SGD) in this paper. Mathematically, optical tomography amounts to recovering the optical parameters in RTE using the incoming-outgoing pair of ... More

Photoisomerization in a Dissipative EnvironmentDec 08 2006We investigate photoisomerization (PI), the shape change of a molecule upon photoabsorption, in a dissipative environment using a simple spin-boson model. We identify two classes of environment depending on whether it "entangles" with the molecule. In ... More

LightRNN: Memory and Computation-Efficient Recurrent Neural NetworksOct 31 2016Recurrent neural networks (RNNs) have achieved state-of-the-art performances in many natural language processing tasks, such as language modeling and machine translation. However, when the vocabulary is large, the RNN model will become very big (e.g., ... More

The Accurate Particle Tracer CodeSep 25 2016Sep 27 2016The Accurate Particle Tracer (APT) code is designed for large-scale particle simulations on dynamical systems. Based on a large variety of advanced geometric algorithms, APT possesses long-term numerical accuracy and stability, which are critical for ... More

Local Energy Conservation Law for Spatially-Discretized Hamiltonian Vlasov-Maxwell SystemDec 13 2016Structure-preserving geometric algorithm for the Vlasov-Maxwell (VM) equations is currently an active research topic. We show that spatially-discretized Hamiltonian systems for the VM equations admit a local energy conservation law in space-time. This ... More

Strong Orbital Interaction in pi-pi Stacking SystemJan 06 2016A simple prototypical model of aromatic pi-pi stacking system -- benzene sandwich dimer is investigated by ab initio calculations based on second-order Moller-Plesset perturbation theory (MP2) and Minnesota hybrid functional M06-2X.

Correlation between the variation of the ionizing continuum and broad absorption linesNov 10 2017In this Letter, we present an analysis of the relation between the variability of broad absorption lines (BALs) and that of the continuum. Our sample is multi-epoch observations of 483 quasars by the Sloan Digital Sky Survey-I/II/III (SDSS-I/II/III). ... More

A lattice Maxwell system with discrete space-time symmetry and local energy-momentum conservationSep 05 2017A lattice Maxwell system is developed with gauge-symmetry, symplectic structure and discrete space-time symmetry. Noether's theorem for Lie group symmetries is generalized to discrete symmetries for the lattice Maxwell system. As a result, the lattice ... More

An Improved Sequential Quadratic Programming Algorithm for Solving General Nonlinear Programming ProblemsJun 15 2012Dec 18 2012In this paper, a class of general nonlinear programming problems with inequality and equality constraints is discussed. Firstly, the original problem is transformed into an associated simpler equivalent problem with only inequality constraints. Then, ... More

Hamiltonian particle-in-cell methods for Vlasov-Maxwell equationsJun 18 2016In this paper, we develop Hamiltonian particle-in-cell methods for Vlasov-Maxwell equations by applying conforming finite element methods in space and splitting methods in time. For the spatial discretisation, the criteria for choosing finite element ... More

On the physical mechanism of three-wave instabilities -- resonance between positive- and negative-action modesNov 22 2017Dec 10 2017Three-wave instability is a fundamental process that has important applications in many branches of physics. It is widely accepted that the resonant condition $\omega_{z}\approx\omega_{x}+\omega_{y}$ for participating waves is the criteria for the onset ... More

Width of the confinement-induced resonance in a quasi-one-dimensional trap with transverse anisotropyFeb 19 2017Nov 23 2017We theoretically study the width of the s-wave confinement-induced resonance (CIR) in quasi-one-dimensional atomic gases under tunable transversely anisotropic confinement. We find that the width of the CIR can be tuned by varying the transverse anisotropy. ... More

What breaks parity-time-symmetry? -- pseudo-Hermiticity and resonance between positive- and negative-action modesJan 05 2018Mar 05 2018It is generally believed that Parity-Time (PT)-symmetry breaking occurs when eigenvalues or both eigenvalues and eigenvectors coincide. However, we show that this well-accepted picture of PT-symmetry breaking is incorrect. Instead, we demonstrate that ... More

Checkerboard charge density wave and pseudogap in high-$T_{c}$ cupratesJun 14 2006Aug 23 2006We consider the scenario where a 4-lattice constant, rotationally symmetric charge density wave (CDW) is present in the underdoped cuprates. We prove a theorem that puts strong constraint on the possible form factor of such a CDW. We demonstrate, within ... More

The hardness-duration correlation in the two classes of gamma-ray burstsApr 29 2000May 29 2000The well-known hardness-duration correlation of gamma-ray bursts (GRBs) is investigated with the data of the 4B catalog. We find that, while the hardness ratio and the duration are obviously correlated for the entire set of the 4B catalog, they are not ... More

Mode Modification of Plasmonic Gap Resonances induced by Strong Coupling with Molecular ExcitonsJul 26 2016Plasmonic cavities can be used to control the atom-photon coupling process at the nanoscale, since they provide ultrahigh density of optical states in an exceptionally small mode volume. Here we demonstrate strong coupling between molecular excitons and ... More

On the structure of the two-stream instability -- complex G-Hamiltonian structure and Krein collisions between positive- and negative-action modesApr 11 2016The two-stream instability is probably the most important elementary example of collective instabilities in plasma physics and beam-plasma systems. For a warm plasma with two charged particle species based on a 1D warm-fluid model, the instability diagram ... More

Comment on "Hamiltonian splitting for the Vlasov-Maxwell equations"Apr 29 2015The paper [1] by Crouseilles, Einkemmer, and Faou used an incorrect Poisson bracket for the Vlasov-Maxwell equations. If the correct Poisson bracket is used, the solution of one of the subsystems cannot be computed exactly in general. As a result, one ... More

Reversal of Thermal Rectification in Quantum SystemsNov 13 2009We study thermal transport in anisotropic Heisenberg spin chains using the quantum master equation. It is found that thermal rectification changes sign when the external homogeneous magnetic field is varied. This reversal also occurs when the magnetic ... More

Plasmonic Gas Sensing based on Cavity-Coupled Metallic NanoparticlesMar 24 2017Here we demonstrate the gas sensing ability of cavity-coupled metallic nanoparticle systems, comprising gold nanoparticles separated from a gold mirror with a polymer spacer. An increase in relative humidity (RH) causes the spacer to expand, which induces ... More

Exponentially-Enhanced Light-Matter Interaction, Cooperativities, and Steady-State Entanglement Using Parametric AmplificationSep 27 2017Mar 05 2018We propose an experimentally feasible method for enhancing the atom-field coupling as well as the ratio between this coupling and dissipation (i.e., cooperativity) of two atoms in an optical cavity. Our method also enables the generation of steady-state ... More

Explicit symplectic algorithms based on generating functions for charged particle dynamicsApr 11 2016Dynamics of a charged particle in the canonical coordinates is a Hamiltonian system, and the well-known symplectic algorithm has been regarded as the de facto method for numerical integration of Hamiltonian systems due to its long-term accuracy and fidelity. ... More

A Universal Relation of Dust Obscuration Across Cosmic TimeMar 12 2019We investigate dust obscuration as parameterised by the infrared excess IRX$\equiv$$L_{\rm IR}/L_{\rm UV}$ in relation to global galaxy properties, using a sample of $\sim$32$\,$000 local star-forming galaxies (SFGs) selected from SDSS, GALEX and WISE. ... More

A New Superlinearly Convergent Algorithm of Combining QP Subproblem with System of Linear Equations for Nonlinear OptimizationJun 27 2012In this paper, a class of optimization problems with nonlinear inequality constraints is discussed. Based on the ideas of sequential quadratic programming algorithm and the method of strongly sub-feasible directions, a new superlinearly convergent algorithm ... More

Tunable multi-channel inverse optomechanically induced transparencyApr 21 2015Jul 02 2015In contrast to the optomechanically induced transparency (OMIT) defined conventionally, the inverse OMIT behaves as coherent absorption of the input lights in the optomechanical systems. We characterize a feasible inverse OMIT in a multi-channel fashion ... More

A one-dimensional quantum walk with multiple-rotation on the coinApr 06 2014Jun 12 2014We introduce and analyze a one-dimensional quantum walk with two time-independent rotations on the coin. We study the influence on the property of quantum walk due to the second rotation on the coin. Based on the asymptotic solution in the long time limit, ... More

Explicit high-order noncanonical symplectic algorithms for ideal two-fluid systemsJun 22 2016An explicit high-order noncanonical symplectic algorithm for ideal two-fluid systems is developed. The fluid is discretized as particles in the Lagrangian description, while the electromagnetic fields and internal energy are treated as discrete differential ... More

Hamiltonian integration methods for Vlasov-Maxwell equationsMay 22 2015Hamiltonian integration methods for the Vlasov-Maxwell equations are developed by a Hamiltonian splitting technique. The Hamiltonian functional is split into five parts, i.e., the electrical energy, the magnetic energy, and the kinetic energy in three ... More

Fluctuations in Symmetric Diblock Copolymers: Testing A Recent TheoryJun 08 2011Composition fluctuations in disordered melts of symmetric diblock copolymers are studied by Monte Carlo simulation over a range of chain lengths and interaction strengths. Results are used to test three theories: (1) the random phase approximation (RPA), ... More

Measuring the winding number in a large-scale chiral quantum walkAug 28 2018We report the experimental measurement of the winding number in an unitary chiral quantum walk. Fundamentally, the spin-orbit coupling in discrete time quantum walks is implemented via birefringent crystal collinearly cut based on time-multiplexing scheme. ... More

A Ferroelectric Semiconductor Field-Effect TransistorDec 07 2018A ferroelectric semiconductor field-effect transistor (FeS-FET) was proposed and experimentally demonstrated for the first time. In this novel FeS-FET, a two-dimensional (2D) ferroelectric semiconductor {\alpha}-In$_2$Se$_3$ is used to replace conventional ... More

Analytical and simulation studies of pedestrian flow at a crossing with random update ruleMar 03 2017The intersecting pedestrian flow on the 2D lattice with random update rule is studied. Each pedestrian has three moving directions without the back step. Under periodic boundary conditions, an intermediate phase has been found at which some pedestrians ... More

Effects of Geometry and Symmetry on Electron Transport through Graphene-Carbon-Chain JunctionsSep 12 2013The electron transport between two zigzag graphene nanoribbons (ZGNRs) connected by carbon atomic chains has been investigated by the nonequilibrium Green's function method combined with the density functional theory. The symmetry of the orbitals in the ... More

Renormalized one-loop theory of correlations in polymer blendsOct 30 2008The renormalized one-loop theory is a coarse-grained theory of corrections to the self-consistent field theory (SCFT) of polymer liquids, and to the random phase approximation (RPA) theory of composition fluctuations. We present predictions of corrections ... More

Optimizing directed self-assembled morphologyAug 02 2013Directed assembly of block polymers is rapidly becoming a viable strategy for lithographic patterning of nanoscopic features. One of the key attributes of directed assembly is that an underlying chemical or topographic substrate pattern used to direct ... More

Three-dimensional graphene skeletons supported nickel molybdate nanowire composite as novel ultralight electrode for supercapacitorsFeb 03 2015Nov 10 2015Nickel molybdate (NiMoO$_{4}$) nanowires were prepared on chemical-vapor-deposition-grown three-dimensional graphene skeletons by hydrothermal method. The X-ray diffraction and Raman results show that NiMoO$_{4}$ is $\alpha{}$ phase. This binder-free ... More

Higher-order photonic topological states in surface-wave photonic crystalsJan 22 2019Photonic topological states have revolutionized our understanding on the propagation and scattering of light. Recent discovery of higher-order photonic topological insulators opens an emergent horizon for zero-dimensional topological corner states. However, ... More

Solving the 56Ni puzzle of magnetar-powered broad-lined type Ic supernovaeAug 19 2016Dec 13 2016Broad-lined type Ic supernovae (SNe Ic-BL) are of great importance because their association with long-duration gamma-ray bursts (LGRBs) holds the key to deciphering the central engine of LGRBs, which refrains from being unveiled despite decades of investigation. ... More

Clustering with diversityApr 17 2010Apr 21 2010We consider the {\em clustering with diversity} problem: given a set of colored points in a metric space, partition them into clusters such that each cluster has at least $\ell$ points, all of which have distinct colors. We give a 2-approximation to this ... More

Lorentz Covariant Canonical Symplectic Algorithms for Dynamics of Charged ParticlesSep 22 2016In this paper, the Lorentz covariance of algorithms is introduced. Under Lorentz transformation, both the form and performance of a Lorentz covariant algorithm are invariant. To acquire the advantages of symplectic algorithms and Lorentz covariance, a ... More

Photons, phonons, and plasmons with orbital angular momentum in plasmasAug 07 2016Exact eigen modes with orbital angular momentum (OAM) in the complex media of unmagnetized homogeneous plasma are studied. Three exact eigen modes with OAM are discovered, i.e., photons, phonons, and plasmons. It is found that an OAM photon can be excited ... More

Casimir effect for the massless Dirac field in two-dimensional Reissner-Nordström spacetimeJan 16 2005Apr 11 2006In this paper, the two-dimensional Reissner-Nordstr\"{o}m black hole is considered as a system of the Casimir type. In this background the Casimir effect for the massless Dirac field is discussed. The massless Dirac field is confined between two ``parallel ... More

Structure-Preserving Geometric Particle-in-Cell Methods for Vlasov-Maxwell SystemsApr 24 2018Recent development of structure-preserving geometric particle-in-cell (PIC) algorithms for Vlasov-Maxwell systems is summarized. With the arriving of 100 petaflop and exaflop computing power, it is now possible to carry out direct simulations of multi-scale ... More

Measurements of nonlocal variables and demonstration of the failure of the product rule for a pre- and postselected pair of photonsFeb 22 2019We report the first implementation of the von Neumann instantaneous measurements of nonlocal variables which becomes possible due to technological achievements in creating hyperentangled photons. Tests of reliability and of the nondemolition property ... More

Linear response and stability of ordered phases of diblock copolymer meltsOct 29 2007An efficient pseudo-spectral numerical method is introduced for calculating a self-consistent field (SCF) approximation for the linear susceptibility of ordered phases in block copolymer melts (sometimes referred to as the random phase approximation). ... More

Competition between paramagnetism and diamagnetism in charged Fermi gasesJun 27 2010The charged Fermi gas with a small Lande-factor $g$ is expected to be diamagnetic, while that with a larger $g$ could be paramagnetic. We calculate the critical value of the $g$-factor which separates the dia- and para-magnetic regions. In the weak-field ... More

Diamagnetism versus Paramagnetism in charged spin-1 Bose gasesJun 24 2010It has been suggested that either diamagnetism or paramagnetism of Bose gases, due to the charge or spin degrees of freedom respectively, appears solely to be extraordinarily strong. We investigate magnetic properties of charged spin-1 Bose gases in external ... More

Canonical symplectic particle-in-cell method for long-term large-scale simulations of the Vlasov-Maxwell systemMar 28 2015Sep 19 2015Particle-in-Cell (PIC) simulation is the most important numerical tool in plasma physics. However, its long-term accuracy has not been established. To overcome this difficulty, we developed a canonical symplectic PIC method for the Vlasov-Maxwell system ... More

Magnetic properties of charged spin-1 Bose gases with ferromagnetic couplingAug 08 2012Magnetic properties of a charged spin-1 Bose gas with ferromagnetic interactions is investigated within mean-field theory. It is shown that a competition between paramagnetism, diamagnetism and ferromagnetism exists in this system. It is shown that diamagnetism, ... More

Renormalization of the one-loop theory of fluctuations in polymer blends and diblock copolymer meltsOct 29 2007Attempts to use coarse-grained molecular theories to calculate corrections to the random-phase approximation (RPA) for correlations in polymer mixtures have been plagued by an unwanted sensitivity to the value of an arbitrary cutoff length, {\it i.e.}, ... More

Stochastic simulation of collisions using high-order weak convergence algorithmsNov 14 2018Electron collisions, described by stochastic differential equations (SDEs), were simulated using a second-order weak convergence algorithm. Using stochastic analysis, we constructed an SDE for energetic electrons in Lorentz plasma to incorporate the collisions ... More

Band-selective shaped pulse for high fidelity quantum control in diamondApr 09 2014Apr 10 2014High fidelity quantum control over qubits is of crucial importance for realistic quantum computing, and it turns to be more challenging when there are inevitable interactions among qubits. By employing a bandselective shaped pulse, we demonstrate a high ... More

Neoclassical Pitch-Angle Scattering of Runaway ElectronsOct 03 2015It is discovered that the tokamak field geometry generates a pitch-angle scattering effect for runaway electrons. This neoclassical pitch-angle scattering is much stronger than the collisional scattering and invalidates the gyro-center model for runaway ... More

Multi-scale Full-orbit Analysis on Phase-space Behavior of Runaway Electrons in Tokamak Fields with Synchrotron RadiationMay 26 2016In this paper, the secular full-orbit simulations of runaway electrons with synchrotron radiation in tokamak fields are carried out using a relativistic volume-preserving algorithm. Detailed phase-space behaviors of runaway electrons are investigated ... More

Renormalized One-loop Theory of Correlations in Disordered Diblock CopolymersMay 11 2011A renormalized one-loop theory (ROL) is used to calculate corrections to the random phase approximation (RPA) for the structure factor $\Sc(q)$ in disordered diblock copolymer melts. Predictions are given for the peak intensity $S(q^{\star})$, peak position ... More

Chemical reaction directed oriented attachment: from precursor particles to new substancesDec 02 2015May 16 2017The oriented attachment (OA) of nanoparticles is an important mechanism for the synthesis of the crystals of inorganic functional materials, and the formation of natural minerals. For years it has been generally acknowledged that OA is a physical process, ... More

Scalable boson sampling with a single-photon deviceMar 14 2016Mar 22 2016Boson sampling is a problem intractable for classical computers, but can be naturally solved on a specialized photonic quantum simulator which requires less resources than building a universal quantum computer. The biggest challenge to implement boson ... More

Joint Target Detection, Tracking and Classification with Forward-Backward PHD SmoothingDec 06 2018Forward-backward Probability Hypothesis Density (PHD) smoothing is an efficient way for target tracking in dense clutter environment. Although the target class has been widely viewed as useful information to enhance the target tracking, there is no existing ... More

Eventually homological isomorphisms in recollements of derived categoriesJul 01 2018For a recollement $(\mathcal{D}B,\mathcal{D}A,\mathcal{D}C)$ of derived categories of algebras, we investigate when the functor $j^*:\mathcal{D}A\rightarrow\mathcal{D}C$ is an eventually homological isomorphism. In this context, we compare the algebras ... More

Farrell cohomology of low genus pure mapping class groups with puncturesJul 22 2002In this paper, we calculate the p-torsion of the Farrell cohomology for low genus pure mapping class groups with punctures, where p is an odd prime. Here, `low genus' means g=1,2,3; and `pure mapping class groups with punctures' means the mapping class ... More

Experimental realization of a single qubit SIC POVM on via a one-dimensional photonic quantum walkDec 07 2014Symmetric informationally complete positive operator-valued measurement (SIC-POVM) is one important class of quantum measurement which is crucial for various quantum information processing tasks. SIC-POVMs have the advantage of providing an unbiased estimator ... More

Test of a scaling hypothesis for the structure factor of disordered diblock copolymer meltsJul 05 2012Coarse-grained theories of dense polymer liquids such as block copolymer melts predict a universal dependence of equilibrium properties on a few dimensionless parameters. For symmetric diblock copolymer melts, such theories predict a universal dependence ... More

CoMID: Context-based Multi-Invariant Detection for Monitoring Cyber-Physical SoftwareJul 06 2018Cyber-physical software continually interacts with its physical environment for adaptation in order to deliver smart services. However, the interactions can be subject to various errors when the software's assumption on its environment no longer holds, ... More

Geometric field theory and weak Euler-Lagrange equation for classical relativistic particle-field systemsOct 17 2016Nov 21 2017A manifestly covariant, or geometric, field theory for relativistic classical particle-field system is developed. The connection between space-time symmetry and energy-momentum conservation laws for the system is established geometrically without splitting ... More

Variational Symplectic Particle-in-cell Simulation of Nonlinear Mode Conversion from Extraordinary waves to Bernstein WavesJun 12 2015Sep 29 2015In this paper, the nonlinear mode conversion of extraordinary waves in nonuniform magnetized plasmas is studied using the variational symplectic particle-in-cell simulation. The accuracy of the nonlinear simulation is guaranteed by the long-term accuracy ... More

Explicit non-canonical symplectic algorithms for charged particle dynamicsSep 25 2015We study the non-canonical symplectic structure, or K-symplectic structure inherited by the charged particle dynamics. Based on the splitting technique, we construct non-canonical symplectic methods which is explicit and stable for the long-term simulation. ... More

Phase Transition in a Two-level-cavity System in an Ohmic EnvironmentMar 09 2007We propose that in the presence of an Ohmic, de-phasing type environment, a two-level-cavity system undergoes a quantum phase transition from a state with damped Rabi oscillation to a state without. We present the phase diagram and make predictions for ... More

Effect of memory on the prisoner's dilemma game in a square latticeJan 18 2008Oct 30 2008We have studied the effect of memory on evolution of the prisoner's dilemma game using square lattice networks. Based on extensive simulations, we found that the density of cooperators was enhanced by an increasing memory effect for most parameters. However, ... More

Optimal Groupon AllocationsMay 25 2013Dec 17 2013Group-buying websites represented by Groupon.com are very popular in electronic commerce and online shopping nowadays. They have multiple slots to provide deals with significant discounts to their visitors every day. The current user traffic allocation ... More

High-efficiency spontaneous terahertz emission from electrically-excited plasmons in AlGaN/GaN two-dimensional electron gasFeb 04 2017The advance of terahertz science and technology yet lays wait for the breakthrough in high-efficiency and high-power solid-state terahertz sources applicable at room temperature. Plasmon in two-dimensional electron gas (2DEG) has long been pursued as ... More

Singular electrostatic energy of nanoparticle clustersJan 08 2016The binding of clusters of metal nanoparticles is partly electrostatic. We address difficulties in calculating the electrostatic energy when high charging energies limit the total charge to a single quantum, entailing unequal potentials on the particles. ... More

Geometric field theory and weak Euler-Lagrange equation for classical relativistic particle-field systemsOct 17 2016A manifestly covariant, or geometric, field theory for relativistic classical particle-field system is developed. The connection between space-time symmetry and energy-momentum conservation laws for the system is established geometrically without splitting ... More

Linear optical demonstration of quantum speed-up with a single quditDec 07 2014Though quantum algorithm acts as an important role in quantum computation science, not only for providing a great vision for solving classically unsolvable problems, but also due to the fact that it gives a potential way of understanding quantum physics, ... More

Sustainable high critical temperature in a hydrocarbon superconductorMar 21 2013Apr 11 2013Organic superconductors are unique materials with a crystal structure made primarily of a complex carbon based network, an element associated directly with life, which were postulated to have a high critical temperature, $T_{C}$, even above room temperature, ... More

Pressure tuning of Fermi surface topology of optimally doped BaFe$_{1.9}$Ni$_{0.1}$As$_{2}$Sep 26 2012The superconducting, transport, and structural properties of optimally electron-doped BaFe$_{1.9}$Ni$_{0.1}$As$_{2}$ are investigated by combining the electrical resistance and synchrotron X-ray diffraction measurements at high pressures. The superconducting ... More

Structural and vibrational properties of phenanthrene under pressureMar 06 2013The structural and vibrational properties of phenanthrene are measured at high pressures up to 30.2 GPa by Raman spectroscopy and synchrotron x-ray diffraction techniques. Two phase transitions are observed in raman spectra under pressures of 2.3 GPa ... More

A Monte Carlo approach to magnetar-powered transients: II. Broad-lined type Ic supernovae not associated with GRBsFeb 10 2017Dec 14 2017Broad-lined type Ic supernovae (SNe Ic-BL) are a subclass of rare core collapse SNe whose energy source is debated in the literature. Recently a series of investigations on SNe Ic-BL with the magnetar (plus 56Ni) model were carried out. Evidence for magnetar ... More

Analysis of Stellar Spectra from LAMOST DR5 with Generative Spectrum NetworksNov 20 2018In this study, the fundamental stellar atmospheric parameters (Teff, log g, [Fe/H] and [{\alpha}/Fe]) were derived for low-resolution spectroscopy from LAMOST DR5 with Generative Spectrum Networks (GSN). This follows the same scheme as a normal artificial ... More

Density profiles and collective modes of a Bose-Einstein condensate with light-induced spin-orbit couplingJun 24 2013Dec 27 2013The phases of a Bose-Einstein condensate (BEC) with light-induced spin-orbit coupling (SOC) are studied within the mean-field approximation. The mixed BEC phase, in which the system condenses in a superposition of two plane wave states, is found to be ... More

Necessary conditions for reversed Dickson polynomials of the second kind to be permutationalApr 08 2014In this paper, we present several necessary conditions for the reversed Dickson polynomial $E_{n}(1, x)$ of the second kind to be a permutation of $\mathbb{F}_{q}$. In particular, we give explicit evaluation of the sum $\sum_{a\in \mathbb{F}_{q}}E_{n}(1,a)$. ... More

Construction of Minimal Tail-Biting Trellises for Codes over Finite Abelian GroupsFeb 05 2007May 17 2007A definition of atomic codeword for a group code is presented. Some properties of atomic codewords of group codes are investigated. Using these properties, it is shown that every minimal tail-biting trellis for a group code over a finite abelian group ... More

Experimental indication of anomalous sensitivity in many-body systems: Deterministic randomness in complex quantum collisions?May 31 2007We have experimentally tested a recently suggested possibility for anomalous sensitivity of the cross sections of dissipative heavy ion collisions. Cross sections for the $^{19}$F+$^{27}$Al dissipative collisions were measured at the fixed energy 118.75 ... More

Multi-photon boson-sampling machines beating early classical computersDec 21 2016Apr 16 2017Boson sampling is considered as a strong candidate to demonstrate the quantum computational supremacy over classical computers. However, previous proof-of-principle experiments suffered from small photon number and low sampling rates owing to the inefficiencies ... More

Effect of the pseudogap on the infrared response in cuprate superconductorsMar 12 2014One of the most essential aspects of cuprate superconductors is a large pseudogap coexisting with a superconducting gap, then some anomalous properties can be understood in terms of the formation of the pseudogap. Within the kinetic energy driven superconducting ... More

Toward Scalable Boson Sampling with Photon LossJan 25 2018Boson sampling is a well-defined task that is strongly believed to be intractable for classical computers, but can be efficiently solved by a specific quantum simulator. However, an outstanding problem for large-scale experimental boson sampling is the ... More

On-demand semiconductor source of entangled photons which simultaneously has high fidelity, efficiency, and indistinguishabilityMar 14 2019An outstanding goal in quantum optics and scalable photonic quantum technology is to develop a source that each time emits one and only one entangled photon pair with simultaneously high entanglement fidelity, extraction efficiency, and photon indistinguishability. ... More

Constructing permutation polynomials over finite fieldsMar 09 2013Jun 13 2013In this paper, we construct several new permutation polynomials over finite fields. First, using the linearized polynomials, we construct the permutation polynomial of the form $\sum_{i=1}^k(L_{i}(x)+\gamma_i)h_i(B(x))$ over ${\bf F}_{q^{m}}$, where $L_i(x)$ ... More

Multisymplectic Geometry Method for Maxwell's Equations and Multisymplectic SchemeFeb 24 2003In this paper we discussed the self-adjointness of the Maxwell's equations with variable coefficients $\epsilon$ and $\mu$. Three different Lagrangian are attained. By the Legendre transformation, a multisymplectic Bridge's (Hamilton) form is obtained. ... More

Some relations of interpolated multiple zeta valuesAug 17 2016Mar 29 2017In this paper, the extended double shuffle relations for interpolated multiple zeta values are established. As an application, Hoffman's relations for interpolated multiple zeta values are proved. Furthermore, a generating function for sums of interpolated ... More

Multi-symplectic Birkhoffian Structure for PDEs with Dissipation TermsFeb 25 2003The multi-symplectic form for Hamiltonian PDEs leads to a general framework for geometric numerical schemes that preserve a discrete version of the conservation of symplecticity. The cases for systems or PDEs with dissipation terms has never been extended. ... More

Pseudogap and charge dynamics in doped cupratesApr 22 2013Nov 12 2013Within the microscopic theory of the normal-state pseudogap state, the doping and temperature dependence of the charge dynamics in doped cuprates is studied in the whole doping range from the underdoped to heavily overdoped. The conductivity spectrum ... More

Homological perturbation theory and mirror symmetryJun 14 1999We explain how deformation theories of geometric objects such as complex structures, Poisson structures and holomorphic bundle structures lead to differential Gerstenhaber or Poisson algebras. We use homological perturbation theory to obtain $A_{\infty}$ ... More

Transitive points via Furstenberg familyMar 17 2011Jul 30 2011Let $(X,T)$ be a topological dynamical system and $\mathcal{F}$ be a Furstenberg family (a collection of subsets of $\mathbb{Z}_+$ with hereditary upward property). A point $x\in X$ is called an $\mathcal{F}$-transitive one if $\{n\in\mathbb{Z}_+:\, T^n ... More

Application of bond valence method in the non-isovalent semiconductor alloy (GaN)$_{1-x}$(ZnO)$_x$Sep 15 2015Dec 28 2015This paper studies the bond valence method (BVM) and its application in the non-isovalent semiconductor alloy (GaN)$_{\rm{1-x}}$(ZnO)$_{\rm{x}}$. Particular attention is paid to the role of short-range order (SRO). A physical interpretation based on atomic ... More

Calculations of the Hirzebruch $χ_y$ genera of symmetric products by the holomorphic Lefschetz formulaOct 05 1999We calculate the Hirzebruch $\chi_y$ and $\hat{\chi}_y$-genera of symmetric products of closed complex manifolds by the holomorphic Lefschetz formula of Atiyah and Singer \cite{Ati-Sin}. Such calculation rederive some formulas proved in an earlier paper ... More

Hodge theory and $A_{\infty}$ structures on cohomologyMar 26 1999We use Hodge theory and a construction of Merkulov to construct $A_{\infty}$ structures on de Rham cohomology and Dolbeault cohomology.

Tortoise coordinate and Hawking effect in a dynamical Kerr black holeMar 04 2010Hawking effect from a dynamical Kerr black hole is investigated using the improved Damour-Ruffini method with a new tortoise coordinate transformation. Hawking temperature of the black hole can be obtained point by point at the event horizon. It is found ... More

Gamma-convergence of integral functionals depending on vector-valued functions over parabolic domainsJan 15 2003De Giorgi conjectured in 1979 that if a sequence of parabolic functionals Gamma converges to a limiting functional, then the corresponding gradient flows will converge as well after changing timescale appropriately. This paper studies the Gamma convergence ... More

Fermionic Computations for Integrable HierarchiesAug 09 2015We present a unified fermionic approach to compute the tau-functions and the n-point functions of integrable hierarchies related to some infinite-dimensional Lie algebras and their representations.