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Compact source for quadripartite deterministically entangled optical fields

Fundamental Research 2025年第1期5卷 132-137页

作者： Yanhong Liu Yaoyao Zhou Liang Wu Jiliang Qin Zhihui Yan Xiaojun Jia Department of Physics Taiyuan Normal UniversityJinzhong 030619China Institute of Computational and Applied Physics Taiyuan Normal UniversityJinzhong 030619China State Key Laboratory of Quantum Optics and Quantum Optics Devices Institute of Opto-ElectronicsShanxi UniversityTaiyuan 030006China Collaborative Innovation Center of Extreme Optics Shanxi UniversityTaiyuan 030006China College of Information Engineering Shanxi Vocational University of Engineering Science and TechnologyJinzhong 030619China

Since entangled multiple optical fields were identified as the building blocks of quantum networks,the quadripartite entangled optical fields have been produced by using four degenerate optical parametric amplifiers or two nondegenerate optical parametric amplifiers(NOPAs).However,realizing an efficient and compact source for multiple quantum users has remained an outstanding challenge,hindering their practical ***,we proposed a compact and feasible scheme to deterministically entangle four spatially separated optical fields,employing only a single ***,two-sided output NOPA-based optical fields were coupled on a beam splitter network to form the quadripartite entangled state,causing the deterministic generation of both the Greenberger–Horne–Zeilinger(GHZ)and the linear cluster states in this compact entanglement *** also obtained the optimal experimental parameters based on the simulation results,thereby providing a direct reference for experimental *** findings propose that the resultant GHZ and linear cluster states can be potentially applied in quantum-enhanced information science,specifically in quantum secret sharing,controlled quantum teleportation networks,and quantum-entangled atomic ensemble networks.

关键词： Quadripartite entanglement Single NOPA Compact source GHZ state Cluster state

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Implementation of full-potential screened spherical wave based muffin-tin orbital for all-electron density functional theory

arXiv

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arXiv 2025年

作者： Zhang, Aixia Zhang, Qingyun Chen, Zhiyi Wu, Yong Ke, Youqi School of Physical Science and Technology ShanghaiTech University Shanghai201210 China Institute of Applied Physics and Computational Mathematics Beijing100088 China

Screened spherical wave (SSW) of the Hankel function features the complete, minimal and short-ranged basis set, presenting a compact representation for electronic systems. In this work, we report the implementation of full-potential (FP) SSW based tight-binding linearized Muffin-Tin orbital (TB-LMTO) for all-electron density functional theory (DFT), and provide extensive tests on the robustness of FP-TB-LMTO and its high accuracy for first-principles material simulation. Through the introduction of double augmentation, SSW based MTO is accurately represented on the double grids including the full-space uniform and dense radial grids. Based on the the double augmentation, the accurate computation of full charge density, full potential,complex integral in the interstitial region and the total energy are all effectively addressed to realize the FP-TB-LMTO for DFT self-consistent calculations. By calculating the total energy,band structure, phase ordering, and elastic constants for a wide variety of materials, including normal metals, compounds, and diamond silicon, we domenstrate the highly accurate numerical implemetation of FP-TB-LMTO for all-electron DFT in comparison with other well-established FP method. The implementation of FP-TB-LMTO based DFT offers an important tool for the accurate first-principles tight-binding electronic structure calculations, particular important for the large-scale or strongly correlated materials. Copyright © 2025, The Authors. All rights reserved.

关键词： Hankel functions

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Spin-orbit splitting on photodissociation in open-shell diatomics by intense UV pulses

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Physical Review A 2025年第1期111卷 013122-013122页

作者： Yan Rong Liu Victor Kimberg Maomao Gong Yongjun Cheng Yong Wu Jian Guo Wang Song Bin Zhang School of Physics and Information Technology Shaanxi Normal University Xi'an 710119 China International Research Center of Spectroscopy and Quantum Chemistry–IRC SQC Siberian Federal University 660074 Krasnoyarsk Russia Institute of Applied Physics and Computational Mathematics Beijing 100088 China Center for Applied Physics and Technology Peking University Beijing 100084 China

Spin-orbit (SO) splitting in open-shell diatomic molecules gives rise to unique doublet electronic states and a wide range of rotational spectra. In spite of high importance of SO effect its manifestation at interaction with ultrashort and intense ultraviolet (UV) laser pulses is weakly studied. Our simulations confirm clearly manifestations of nonlinear phenomena in SO-splitting fragment spectra as the UV pulse intensity increases. These nonlinear effects in kinetic energy release and photofragment angular distribution spectra clearly reflect the SO splitting of the Π state and the R−Ω coupling (R is the nuclear rotational angular momentum and Ω=Λ+Σ is the projection of total angular momentum on the molecule axis). We show that in case of nonresolved rotational excitation the R−Ω coupling on doublet-state transitions can be effectively approximated as the R−Λ coupling, as for a singlet state, yet including actual SO splitting on the potential energy curve of the doublet Π state. The present investigation not only reveals the nonlinear SO-splitting effects on photodissociation dynamics induced by intense UV pulses, but also provides practical approaches for efficient modeling of the photoinduced ultrafast nuclear dynamics incorporating the SO-splitting phenomena.

关键词： Kinetic energy

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Two-plasmon-decay instability stimulated by dual laser beams in inertial confinement fusion

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Matter and Radiation at Extremes 2025年第1期10卷 48-56页

作者： C.-W.Lian Y.Ji R.Yan J.Li L.-F.Wang Y.-K.Ding J.Zheng Department of Modern Mechanics University of Science and Technology of ChinaHefeiAnhui 230026China Collaborative Innovation Center of IFSA Shanghai Jiao Tong UniversityShanghai 200240China Department of Plasma Physics and Fusion Engineering University of Science and Technology of ChinaHefei 230026China Institute of Applied Physics and Computational Mathematics Beijing 100088China

Two-plasmon-decay instability(TPD)poses a critical target preheating risk in direct-drive inertial confinement *** this paper,TPD collectively driven by dual laser beams consisting of a normal-incidence laser beam(Beam-N)and a large-angle-incidence laser beam(Beam-L)is investigated via particle-in-cell *** is found that significant TPD growth can develop in this regime at previously unexpected low laser intensities if the intensity of Beam-L exceeds the large-angle-incidence *** beams contribute to the growth of TPD in a“seed-amplification”manner in which the absolute instability driven by Beam-L provides the seeds that are convectively amplified by Beam-N,making TPD energetically important and causing significant pump depletion and hot-electron generation.

关键词： laser pump decay

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On the global stability and large time behavior of solutions of the Boussinesq equations

arXiv

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arXiv 2025年

作者： Jiang, Song Wang, Quan LCP Institute of Applied Physics and Computational Mathematics Huayuan Road 6 Beijing100088 China College of Mathematics Sichuan University Sichuan Chengdu610065 China

We study the two-dimensional viscous Boussinesq equations, which model the motion of stratified flows in a circular domain influenced by a general gravitational potential f. First, we demonstrate that the Boussinesq equations admit steady-state solutions only in the form of hydrostatic equilibria, given by (u, ρ, p) = (0, ρs, ps), where the pressure gradient satisfies ∇ps = −ρs∇f. Subsequently, we establish that any hydrostatic equilibrium satisfying the condition ∇ρs = δ(x, y)∇f is linearly unstable if δ(x, y) is positive at some point (x, y) = (x0, y0), This instability corresponds to the well-known Rayleigh-Taylor instability. Thirdly, by employing a series of regularity estimates, we reveal that although the presence of the Rayleigh-Taylor instability increases the velocity, the system ultimately converges to a state of hydrostatic equilibrium. This result is achieved by analyzing perturbations around any state of hydrostatic equilibrium, including both stable and unstable configurations. Specifically, the state of hydrostatic equilibrium can be expressed as ρ = −γf + β,where γ and β are positive constants, provided that the global perturbation satisfies additional conditions. This highlights the system’s tendency to stabilize into a hydrostatic state despite the presence of instabilities. Keywords— Boussinesq equations;global stability;large time behavior. Copyright © 2025, The Authors. All rights reserved.

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H?rmander oscillatory integral operators: A revisit

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Science China mathematics 2025年第4期 873-890页

作者： Chuanwei Gao Zhong Gao Changxing Miao School of Mathematical Sciences Capital Normal University Institute of Applied Physics and Computational Mathematics

In this paper, we present new proofs for both the sharp Lpestimate and the decoupling theorem for the H?rmander oscillatory integral operator. The sharp Lpestimate was previously obtained by Stein（1986） and Bourgain and Guth（2011） via the TT*and multilinear methods, respectively. We provide a unified proof based on the bilinear method for both odd and even dimensions. The strategy is inspired by Barron's work（2022） on the restriction problem. The decoupling theorem for the H?rmander oscillatory integral operator can be obtained by the approach in Beltran et al.（2020）, where the key observation can be roughly formulated as follows: in a physical space of sufficiently small scale, the variable setting can be essentially viewed as *** contrast, we reprove the decoupling theorem for the H?rmander oscillatory integral operator through the Pramanik-Seeger approximation approach(Pramanik and Seeger（2007）). Both proofs rely on a scale-dependent induction argument, which can be used to deal with perturbation terms in the phase function.

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Structure function of helicity in compressible homogeneous isotropic turbulence

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Physical Review Fluids 2025年第3期10卷 034610-034610页

作者： Running Hu Zheng Yan Runyuan Gan Xinliang Li Changping Yu State Key Laboratory of High Temperature Gas Dynamics Institute of Mechanics Chinese Academy of Sciences Beijing 100190 China School of Engineering Science University of Chinese Academy of Sciences Beijing 100049 China Institute of Applied Physics and Computational Mathematics Beijing 100094 China

Helicity plays an essential role in the interscale dynamics of turbulence. This paper focuses on the compressible effects on helicity cascades via structure functions. We first investigate the spatial-local dynamics of helicity, revealing that helicity is enhanced by pressure gradients along vorticity lines. Then, structure functions are used to describe the multiscale dynamics. The scaling law r2/3 for helicity remains valid in compressible turbulence, as helicity is independent of the compressive components. Additional pressure and divergence terms are introduced in the new third-order relation for helicity in compressible turbulence. The pressure term is related to the pressure gradients along the vorticity lines and plays a dominant role in the dissipative range. The divergence term is mainly induced by the mixed structure function of divergence and helicity, significantly contributing to inverse helicity cascades in the inertial range.

关键词： Vorticity

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Nodal points, lines, and surfaces, and topological surface states in superconductor NiBi3

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Physical Review B 2025年第9期111卷 094508-094508页

作者： Jie Zhang Kai-Yue Jiang Shu-Xiang Qiao Peng-Cheng Xiao Na Jiao Ping Zhang Hong-Yan Lu Qi-Feng Liang School of Physics and Physical Engineering Qufu Normal University Qufu 273165 China Anhui Province Key Laboratory of Low-Energy Quantum Materials and Devices High Magnetic Field Laboratory HFIPS Chinese Academy of Sciences Hefei Anhui 230031 China Institute of Applied Physics and Computational Mathematics Beijing 100088 China Department of Physics Shaoxing University Shaoxing 312000 China

Despite the numerous reports on the time-honored superconductor NiBi3, theoretical investigations remain limited, particularly regarding the impact of spin-orbit coupling (SOC). Based on first-principles calculations, the electronic topology of NiBi3 is mainly studied herein. Nodal loops which intersect to form a nodal chain structure are enclosed by two valence bands, and they are fully gapped by SOC. The full gap contains topological surface states defined by a Z2 topological invariant, while for the top valence band and bottom conduction band, a three-dimensional massless Dirac point at Γ is produced by the two bands with SOC. In addition, nodal surfaces which prevalently appear in the band structure without SOC are present on the entire Brillouin zone surface, and SOC only partially gaps them, thus leading to nodal lines unaffected by SOC. Type-I and type-II fermions, which are distinguished by the tilt of cones, are shown to coexist in the bulk bands. Furthermore, two Rashba-split bands are found on the (100) surface, whose inner and outer Fermi circles share the same spin polarization direction. Finally, our analysis reveals that the superconductivity of NiBi3 primarily originates from the p orbitals of Bi and d orbitals of Ni coupling with the vibration modes of Bi. The rich topological features identified in this study suggest that NiBi3 holds significant potential for realizations of topological superconductivity and other exotic phenomena.

关键词： Topology

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Conservative mixed Discontinuous Galerkin finite element method with full decoupling strategy for incompressible MHD problems

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Communications in Nonlinear Science and Numerical Simulation 2025年 147卷

作者： Huang, Huayi Huang, Yunqing Tang, Qili Yin, Lina Key Laboratory of Intelligent Computing & Information Processing of Ministry of Education School of Mathematics and Computational Science Xiangtan University Xiangtan411105 China National Center for Applied Mathematics in Hunan Xiangtan University Xiangtan411105 China Hunan Key Laboratory for Computation and Simulation in Science and Engineering Xiangtan University Xiangtan411105 China Institute of Applied Physics and Computational Mathematics Fenghao East Road 2 Beijing100094 China

In this research, we propose a mixed Discontinuous Galerkin (DG) finite element method (FEM) for the numerical solution of incompressible magnetohydrodynamics (MHD) problems, ensuring the divergence-free condition for the velocity field. Our proposed methodology is characterized by its energy stability. Subsequently, we construct a novel finite element discretization scheme, for which we establish the theoretical framework of energy stability. Furthermore, we incorporate a preconditioning strategy that facilitates the development of an alternative positive definite, fully decoupled linearization approach. A significant advantage of this scheme is its ability to circumvent the complexities associated with solving saddle point problems at each time step. We demonstrate the uniqueness and convergence of the solutions within this fully decoupled, block-structured linear system. This theoretical validation is complemented by a series of numerical experiments that substantiate the effectiveness and accuracy of our proposed method. © 2025 Elsevier B.V.

关键词： Finite element method

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Coupled electron-phonon hydrodynamics and viscous thermoelectric equations

arXiv

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arXiv 2025年

作者： Coulter, Jennifer Rajkov, Bogdan Simoncelli, Michele Center for Computational Quantum Physics Flatiron Institute New York10010 United States Theory of Condensed Matter Group The Cavendish Laboratory University of Cambridge United Kingdom Department of Applied Physics and Applied Mathematics Columbia University New York United States

Non-diffusive, hydrodynamic-like transport of charge or heat has been observed in several materials, and recent, pioneering experiments have suggested the possible emergence of electron-phonon bifluids. Here we introduce the first-principles theory and computational framework to describe these phenomena, showing that the viscosity of electron-phonon bifluids is microscopically determined by composite "relaxon" electron-phonon excitations that also describe electron-phonon drag effects on thermoelectric transport coefficients. We show that these composite excitations emerge from the microscopic coupled electron-phonon Boltzmann transport equation, and demonstrate that the latter can be coarse-grained into a set of mesoscopic Viscous Thermoelectric Equations (VTE). The VTE unify the established hydrodynamic equation for electrons derived by Gurzhi [Sov. Phys. Usp. 11 1968], and the recently developed Viscous Heat Equations for phonons [PRX 10, 2020], while also extending them to cover the mixed electron-phonon bifluid regime. We employ this framework to elucidate from first principles the conditions under which electron and phonon fluids can coexist and mix, as well as to rationalize experimental signatures of electron-phonon drag in graphite. © 2025, CC BY-NC-ND.

关键词： Hydrodynamics

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