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Study of thermal decoherence of harmonic oscillators

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原子与分子物理学报 2025年第5期42卷 108-114页

作者： li jian ZHOU Gao-liang YAN Zheng-Xin liU Wei WANG Zhao-Qi College of Science Xi’an University of Science and TechnologyXi’an 710054China

The thermal decoherence of harmonic oscillators is investigated *** quantum system presented here is a one-dimensional oscillator with angular frequency,which is surrounded by a thermal bath of environmental *** are various environmental oscillators with different angular frequency(below an ultraviolet cutoff).At the beginning,the quantum system is a pure state and the environmental oscillators are in thermodynamic equilibrium with *** a period,the system-environment interactions inspire significant decoherence of the quantum *** decoherence is displayed by explicit calculations of the purity and von Neumann entropy of the quantum *** is worth noting that the decoherence could be significant even in the weak coupling and low temperature case due to the large amount of environmental degrees of *** the decoherence process is inspired between the quantum system and an ordinary thermal environment here,the thermal decoherence result is quite general.

关键词： Quantum decoherence Grand canonical ensemble Oscillators

Physics and applications of Raman distributed optical fiber sensing

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light(Science & Applications) 2022年第6期11卷 1059-1087页

作者： jian li Mingjiang Zhang College of Physics and Optoelectronics Taiyuan University of TechnologyTaiyuanShanxi 030024China Key Laboratory of Advanced Transducers and Intelligent Control Systems(Ministry of Education and Shanxi Province) Taiyuan University of TechnologyTaiyuan 030024China

Raman distributed optical fiber sensing has been demonstrated to be a mature and versatile scheme that presents great flexibility and effectivity for the distributed temperature measurement of a wide range of engineering applications over other established *** past decades have witnessed its rapid development and extensive applicability ranging from scientific researches to industrial ***,there are four theoretical or technical bottlenecks in traditional Raman distributed optical fiber sensing:(ⅰ)The difference in the Raman optical attenuation,a low signal-to-noise ratio(SNR)of the system and the fixed error of the Raman demodulation equation restrict the temperature measurement accuracy of the system.{ⅱ)The sensing distance and spatial resolution cannot be reconciled.(ⅲ)There is a contradiction between the SNR and measurement time of the system.(ⅳ)Raman distributed optical fiber sensing cannot perform dual-parameter *** on the above theoretical and technical bottlenecks,advances in performance enhancements and typical applications of Raman distributed optical fiber sensing are reviewed in this *** of this optical system technology with knowledge based,that is,demodulation technology *** further the performance and accuracy of these systems.

关键词： fiber optical contradiction

Generalizations of the finite nonperiodic Toda lattice and its Darboux transformation

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Communications in Theoretical Physics 2021年第8期73卷 18-30页

作者： jian li Chuanzhong li School of Mathematics and Statistics Ningbo UniversityNingbo315211China College of Mathematics and Systems Science Shandong University of Science and TechnologyQingdao266590China

In this paper,we construct Hamiltonian systems for 2 N particles whose force depends on the distances between the *** obtain the generalized finite nonperiodic Toda equations via a symmetric group *** solutions of the generalized Toda equations are derived using the tau *** relationship between the generalized nonperiodic Toda lattices and lie algebras is then be discussed and the generalized Kac-van Moerbeke hierarchy is split into generalized Toda lattices,whose integrability and Darboux transformation are studied.

关键词： Hamiltonian systems Toda lattices Darboux transformation lie algebra Kac-van Moerbeke hierarchy

Theoretical modeling and numerical simulations of plasmas generated by shock waves

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Science China(Technological Sciences) 2019年第12期62卷 2204-2212页

作者： li jianQiao HAO li li jian State Key Laboratory of Explosion Science and Technology Beijing Institute of TechnologyBeijing 100081China Science School Beijing University of Civil Engineering and ArchitectureBeijing 100044China

Electromagnetic(EM) field is a consequence of the plasma generation induced by shock waves generated in impacts and explosions and is an important topic of study in aerospace and geophysics. Experimental research is frequently used to investigate the plasma generation in hypervelocity impacts and the EM wave emitted in chemical explosions. However, the basic plasma generation mechanism leading to the EM emission generated by the shock waves in chemical explosions is rarely ***, a detailed investigation is performed to determine the state of the plasmas generated by the shock waves in air blast. In addition, a multi-component ionization model was improved to evaluate the ionization state of the generated plasmas. The proposed ionization model was combined with an AUSM+-up based finite volume method(FVM) to simulate the plasmas generated in the air blast. Two typical cases of simulation were carried out to investigate the relation between the shock waves and ionization, as well as the influence of ground reflection on the ionization state. It was found that the ionization zone was close behind the shock front in the air and propagates along with the shock waves. The interaction between the original shock waves and reflected shock waves was found to have a great impact of the order of 2–3 magnitudes, on the degree of ionization of the plasmas generated by the shock waves. This phenomenon explains the observation of additional EM pulses generated by ground reflection, as explored in the reference cited in this paper.

关键词： plasma generation air blast shock waves local thermal and reactive equilibrium(LTRE)state computational fluid dynamics(CFD)simulation

New Expressions for Dark-Hollow light Beams

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Chinese Physics Letters 2010年第6期27卷 104-106页

作者： li jian-Long College of Physics Science and Technology Sichuan University Chengdu 610064

A class of new light beams of dark-hollow beams, named sinusoidal dark-hollow beams, is introduced. The propagation formula for a sinusoidal dark-hollow beam through a paraxial ABCD optical system is derived. The propagation properties of the sinusoidal dark-hollow beam are comparatively studied and illustrated with numerical examples.

关键词： BEAM optics COMPARATIVE studies NUMERICAL analysis ELECTROMAGNETIC waves MATHEMATICAL physics

STABIliZATION OF COUPLED PDE-ODE SYSTEMS WITH SPATIALLY VARYING COEFFICIENT

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Journal of Systems Science & Complexity 2013年第2期26卷 151-174页

作者： li jian liU Yungang School of Control Science and Engineering Shandong University

The paper is concerned with the stabilization of a class of coupled PDE-ODE systems with spatially varying coefficient,via state-feedback or *** system is more general than that of the related literature due to the presence of the spatially varying coefficient which makes the problem more difficult to *** infinite-dimensional backstepping method,both state-feedback and output-feedback stabilizing controllers are explicitly constructed,which guarantee that the closed-loop system is exponentially stable in the sense of certain *** is worthwhile pointing out that,in the case of output-feedback,by appropriately choosing the state observer gains,the severe restriction on the ODE sub-system in the existing results is completely removed.A simulation example is presented to illustrate the effectiveness of the proposed method.

关键词： Coupled PDE-ODE systems infinite-dimensional backstepping transformation spatially varying coefficient stabilization.

PDE Surface Generation with Combined Closedand Non-Closed Form Solutions

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Journal of Computer Science & Technology 2004年第5期19卷 650-656页

作者： jian-JunZhang li-HuaYou NationalCentreforComputerAnimation BournemouthUniversityU.K.

Partial differential equations (PDEs) combined with suitably chosen boundaryconditions are effective in creating free form surfaces. In this paper, a fourth order partialdifferential equation and boundary conditions up to tangential continuity are introduced. Thegeneral solution is divided into a closed form solution and a non-closed form one leading to a mixedsolution to the PDE. The obtained solution is applied to a number of surface modelling examplesincluding glass shape design, vase surface creation and arbitrary surface representation.

关键词： surface generation combined solution fourth order partial differentialequation geometric modelling

Adaptive Stabilization for ODE Systems Coupled with Parabolic PDES

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Journal of Systems Science & Complexity 2016年第4期29卷 959-977页

作者： li jian liU Yungang School of Mathematics and Information Sciences Yantai UniversityYantai 264005China School of Control Science and Engineering Shandong UniversityJinan 250061China

This paper is concerned with the adaptive stabilization for ODE systems coupled with parabolic PDEs. The presence of the uncertainties/unknonws and the coupling between the subsystems makes the system under investigation essentially different from those of the existing literature,and hence induces more technique obstacles in control design. Motivated by the related literature, an invertible infinite-dimensional backstepping transformation with appropriate kernel functions is first introduced to change the original system into a new one, from which the control design becomes much convenient. It is worthwhile pointing out that, since the kernel equations for which the kernel functions satisfy are coupled rather than cascaded, the desirable kernel functions are more difficult to derive than those of the closely related literature. Then, by Lyapunov method and a dynamics compensated technique, an adaptive stabilizing controller is successfully constructed, which guarantees that all the closed-loop system states are bounded while the original system states converging to zero. Finally, a simulation example is provided to validate the proposed method.

关键词： Adaptive stabilization coupled PDE-ODE systems infinite-dimensional backstepping transformation uncertainties

Comparative Analyses of Proteome Complement Between Worker Bee Larvae of High Royal Jelly Producing Bees (A. m. ligustica) and Carniolian Bees (A. m. carnica)

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Agricultural Sciences in China 2009年第10期8卷 1219-1227页

作者： CHEN jian li jian-ke Institute of Apicultural Research Chinese Academy of Agricultural Sciences~Key Laboratory of Pollinating Insect Biology Ministry ofAgriculture Beijing 100093 P.R China

This study is to compare the protein composition of the high royal jelly producing bee （A. m. ligustica） with that of Carniolian bee （A. m. carnica） during their worker larval developmental stage. The experiment was carried out by two- dimensional gel electrophoresis. The results showed that significant higher numbers of total proteins （283） were detected in larvae of high royal jelly producing bees （Jelly bee） than those of Carniolian bees （152） on 2-d-old larvae. Among them, 110 proteins were presented on both strains of bee larvae, whereas 173 proteins were specific to larvae of Jelly bees, and 42 proteins were exclusive to Carniolian larvae. However, on the 4th d, a significant higher number of total proteins （290） were detected in larvae of Jelly bees than those of Carniolian bees （240）, 163 proteins resolved to both bee larvae, and 127 proteins were specific to Jelly bees and 77 proteins to Camiolian bees. Until the 6th d, also a significant higher number of total proteins （236） were detected in larvae of Jelly bees than those of Carniolian bees （180）, 132 proteins were constantly expressed in two bee larvae, whereas 104 and 48 proteins are unique to Jelly bee and Carniolian bee larvae, respectively. We tentatively concluded that the metabolic rate and gene expression of Jelly bees larvae is higher than those of Carniolian bees based proteins detected as total proteins and proteins specific to each stage of two strains of bee larvae. Proteins constantly expressed on 3 stages of larval development with some significant differences between two bee strains, and proteins unique to each stage expressed differences in term of quality and quantity, indicating that larval development needed house keeping and specific proteins to regulate its growth at different development phage, but the expression mold is different between two strains of larval development.

关键词： honeybee (Apis mellifera) worker bee larva two-dimensional gel electrophoresis proteome