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Communications in Theoretical Physics 2021年第12期73卷 1-13页

作者： Jiaheng Li biao Li School of mathematics and Statistics Ningbo UniversityNingbo 315211China

In this paper,based on physics-informed neural networks(PINNs),a good deep learning neural network framework that can be used to effectively solve the nonlinear evolution partial differential equations(PDEs)and other types of nonlinear physical models,we study the nonlinear Schrodinger equation(NLSE)with the generalized PT-symmetric Scarf-Ⅱpotential,which is an important physical model in many fields of nonlinear ***,we choose three different initial values and the same Dinchlet boundaiy conditions to solve the NLSE with the generalized PT-symmetric Scarf-Ⅱpotential via the PINN deep learning method,and the obtained results are compared with ttose denved by the toditional numencal ***,we mvestigate effect of two factors(optimization steps and activation functions)on the performance of the PINN deep learning method in the NLSE with the generalized PT-symmetric Scarf-Ⅱ***,the data-driven coefficient discovery of the generalized PT-symmetric Scarf-Ⅱpotential or the dispersion and nonlinear items of the NLSE with the generalized PT-symmetric Scarf-Ⅱpotential can be approximately ascertained by using the PINN deep learning *** results may be meaningful for further investigation of the nonlinear Schrodmger equation with the generalized PT-symmetric Scarf-Ⅱpotential in the deep learning.

关键词： nonlinear Schrodinger equation generalized PT-symmetric scarf-Ⅱpotential physics-informed neural networks deep learning initial value and dirichlet boundary conditions data-driven coefficient discovery

The Dbar-dressing method for the(2+1)-dimensional Date–Jimbo–Kashiwara–miwa equation

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Communications in Theoretical Physics 2024年第1期76卷 17-23页

作者： Shifei Sun biao Li School of mathematics and Statistics Ningbo UniversityNingbo315211China

In this work,the(2+1)-dimensional Date–Jimbo–Kashiwara–miwa(DJKm)equation is studied by means of the ■-dressing method.A new ■ problem has been constructed by analyzing the characteristic function and the Green’s function of its Lax *** on solving the ■ equation and choosing the proper spectral transformation,the solution of the DJKm equation is ***,the more general solution of the DJKm equation can be also obtained by ensuring the evolution of the time spectral data.

关键词： (2+1)-dimensional DJKm equation inverse spectral problem Green's function characteristic function ■-dressing method

Atomic Interference method for Direct measurement of the Wigner Function of a Cavity Field

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Communications in Theoretical Physics 2001年第2期36卷 213-215页

作者： ZHENGShi－biao DepartmentofElectronicScienceandAppliedPhysics FuzhouUniversityFuzhou350002China

We propose a scheme for the reconstruction of a cavity field state. In the scheme the cavity field is first displaced by a microwave source, and then is placed in front of one slit of the two-slit apparatus. Ground state atoms pass through the apparatus, hitting upon the screen far away from the two-slit apparatus. The atom-field interaction is dispersive. The contrast of interference fringes is directly related to the Wigner function for the field state. The scheme can be easily generalized to measure the Wigner function of an entangled state of two spatially separated single-mode cavities.

关键词： atomic interference Wigner function cavity field

General formalism for dirty extreme-mass-ratio inspirals

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Science China(Physics,mechanics & Astronomy) 2024年第7期67卷 22-29页

作者： Ye Jiang Wen-biao Han Shanghai Astronomical Observatory Chinese Academy of SciencesShanghai 200030China School of Astronomy and Space Science University of Chinese Academy of SciencesBeijing 100049China School of Fundamental Physics and mathematical Sciences Hangzhou Institute for Advanced StudyUniversity of Chinese Academy of SciencesHangzhou 310024China Shanghai Frontiers Science Center for Gravitational Wave Detection Shanghai 200240China

Detecting the environment around the supermassive black holes and tests of general relativity are important applications of extreme-mass-ratio inspirals(EmRIs).There is still a challenge to efficiently describe various“dirty”impacts on the inspirals,such as dark matter,gas,dipole radiation,and electromagnetic *** this study,we find the inherent linearity of the asymptotic solution of the inhomogeneous Teukolsky *** the basis of this property,we completely decouple the factors of the perturber and the background spacetime in the energy fluxes and *** the new decoupling form,the waveforms of EmRIs with non-geodesic motion in Kerr spacetime can be conveniently *** will help to resolve the environment(including gas,field,dark matter,electromagnetic interaction)around supermassive black holes and test general relativity.

关键词： gravitational wave Teukolsky equation extreme-mass-ratio inspirals

Generation of SU(2)Coherent States for a Cavity mode and a Collective Atomic mode

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Communications in Theoretical Physics 2009年第5期51卷 828-830页

作者： ZHENG Shi-biao Department of Electronic Science and Applied Physics Fuzhou University Fuzhou 350002 China

We propose a scheme for generation of SU（2） coherent states for an atomic ensemble and a cavity mode. In the scheme a collection of two-level atoms resonantly interact with a single-mode quantized field. Under certain conditions, the system can evolve from a Fock state to a highly entangled SU（2） coherent state. The operation speed increases as the number of atoms increases, which is important in view of deeoherence.

关键词： SU(2) coherent state cavity mode collective atomic mode

Teleportation of a Superposition of Three Orthogonal States of an Atom via Photon Interference

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Communications in Theoretical Physics 2006年第4X期46卷 613-616页

作者： ZHENG Shi-biao Department of Electronic Science and Applied Physics Fuzhou University Fuzhou 350002 China

We propose a scheme to teleport a superposition of three states of an atom trapped in a cavity to a second atom trapped in a remote cavity. The scheme is based on the detection of photons leaking from the cavities aft... 详细信息

关键词： teleportation superposition photon interference

Efficient Scheme for Dense Coding in Cavity QED and Ion Trap Systems

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Communications in Theoretical Physics 2006年第6期45卷 1011-1012页

作者： ZHENG Shi-biao Department of Electronic Science and Applied Physics Fuzhou University Fuzhou 350002 China

We propose a scheme for realizing dense coding in cavity QED. The scheme is based on the resonant interaction of two atoms with a cavity mode. The scheme may be realizable with presently available techniques in the mi... 详细信息

关键词： dense coding cavity QED ion trap

Cavity QED Scheme for Realizing Entanglement Swapping

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Communications in Theoretical Physics 2007年第4X期48卷 649-652页

作者： YANG Zhen-biao Department of Electronic Science and Applied Physics Fuzhou University Fuzhou 350002 China

A new scheme is proposed for realizing entanglement swapping in cavity QED. The scheme is based on the resonant interaction of two-mode cavity with ∧-type three-level atom, and it involves only a single measurement. In the scheme, the output state after swapping is exactly the maximally entangled state in principle, thus it is prior to the previous one, in which the output state is just approximate. Calculations indicate that our scheme is less influenced by an error.

关键词： cavity QED entanglement swapping two-mode cavity ∧-type atom

Realization of Nonclassical States and Two-mode Coupling in the motion of Two Trapped Ions

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Communications in Theoretical Physics 2002年第8期38卷 213-216页

作者： ZHENG Shi-biao Department of Electronic Science and Applied Physics Fuzhou University Fuzhou 350002 China

We propose a scheme to generate various nonclassical vibrational states in the collective motion of twotrapped ions, such as squeezed states, Schrodinger cat states, and SU(2) states. It is based on Raman-type ***-mod... 详细信息

关键词： nonclassical state, two-mode coupling, trapped ion

A new procedure for exploring chaotic attractors in nonlinear dynamical systems under random excitations

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Acta mechanica Sinica 2011年第4期27卷 593-601页

作者： Chun-biao Gan Hua Lei Department of mechanical Engineering Zhejiang University310027 Hangzhou China Institute of Applied mechanics SAAZhejiang University310027 Hangzhou China

Due to uncertain push-pull action across boundaries between different attractive domains by random excitations, attractors of a dynamical system will drift in the phase space, which readily leads to colliding and mixing with each other, so it is very difficult to identify irregular signals evolving from arbitrary initial states. Here, periodic attractors from the simple cell mapping method are further iterated by a specific Poincare map in order to observe more elaborate structures and drifts as well as possible dynamical bifurcations. The panorama of a chaotic attractor can also be displayed to a great extent by this newly developed procedure. From the positions and the variations of attractors in the phase space, the action mechanism of bounded noise excitation is studied in detail. Several numerical examples are employed to illustrate the present procedure. It is seen that the dynamical identification and the bifurcation analysis can be effectively performed by this procedure.

关键词： Dynamical system Bounded noise excitationPoincare map Chaotic attractor. Bifurcation