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Investigations into quantum correlation of coupled qubits in a squeezed vacuum reservoir

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Chinese Physics B 2013年第2期22卷 86-91页

作者：嵇英华刘咏梅 Department of Physics Jiangxi Normal University Key Laboratory of Photoelectronics and Telecommunication of jiangxi Province College of mathematics and information Science Jiangxi Normal University

In this paper,we investigate the quantum correlation of coupled qubits which are initially in maximally entangled mixed states in a squeezed vacuum *** compare and analyze the effects of squeezed parameters on quantum discord and quantum *** results show that in a squeezed vacuum reservoir,the quantum discord and quantum concurrence perform with completely opposite behaviors with the change of squeezed *** discord survives longer with the increase of squeezed amplitude parameter,but entanglement death is faster on the *** results also indicate that the classical correlation of the system is smaller than quantum discord in a vacuum reservoir,while it is bigger than quantum discord in a squeezed vacuum *** quantum discord and classical correlation are more robust than quantum concurrence in the two reservoir environments,which indicates that the entanglement actually is easily affected by decoherence and quantum discord has a stronger ability to avoid decoherence in a squeezed vacuum reservoir.

关键词： quantum correlation coupled qubits quantum discord concurrence

A preliminary knowledge-driven prediction model of snail distribution in the Poyang Lake region

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Chinese Science Bulletin 2008年第1期53卷 115-123页

作者： ZHAO An1,2,3 & BAO ShuMing1 1 The Key Lab of Poyang Lake Ecological Environment and Resource Development, jiangxi normal university, nanchang 330022, china 2 Institute of Geographic sciences and Resources Research, Chinese Academy of sciences, Beijing 100101, china 3 school of Geography and Environmental sciences, jiangxi normal university, nanchang 330022, china The Key Lab of Poyang Lake Ecological Environment and Resource Development Jiangxi Normal University Nanchang China Institute of Geographic sciences and Resources Research Chinese Academy of Sciences Beijing China school of Geography and Environmental sciences Jiangxi Normal University Nanchang China

Present monitoring and prediction of schistosomiasis’s intermediate parasite, snail, are based on re-mote sensing image’s spectral signatures, and the calculation result is in fact an incom-plete-constraints solution. TM image of the Poyang Lake region on October 31, 2005 was combined with GIS thematic data (DEM, boundary of the Poyang Lake, vegetation, soil and land use) to make a prediction on snail spatial distribution in the region by remote sensing, geo-informatics and knowl-edge-driven modeling according to mechanism of snail occurrence. Result shows that with change of overall fuzzy membership of snail occurrence from high to low, snail occurrence of the snail samples of validation group goes up to 81% within 10% high fuzzy membership range, denoting high efficiency of the model in predicting snail occurrence.

关键词：鄱阳湖区域蜗牛分布模糊分类血吸虫病

On the inner radius of univalency by pre-Schwarzian derivative

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Science china mathematics 2007年第7期50卷 987-996页

作者： Tao CHENG~(1,2+) Ji-xiu CHEN~1 1 school of Mathematical sciences,Fudan university,Shanghai 200433,china 2 Department of mathematics,jiangxi normal university,nanchang 330022,china 1. school of Mathematical sciences Fudan University Shanghai 200433 China 2. Department of mathematics Jiangxi Normal University Nanchang 330022 China

In this paper,the inner radius of univalency of hyperbolic domains by pre-Schwarzian derivative is studied,and some general formulas for the lower bound of the inner radius are established. As their applications,the l... 详细信息

关键词： pre-Schwarzian derivative inner radius of univalency universal Teichmuller space 30C62 30F60

POSITIVE SOLUTIONS FOR WEAKLY COUPLED NONLINEAR ELLIPTIC SYSTEMS

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Acta Mathematica Scientia 2010年第5期30卷 1577-1592页

作者：龙静杨健夫 Wuhan Institute of Physics and mathematics Chinese Academy of Sciences Graduate school Chinese Academy of Sciences Department of mathematics Jiangxi Normal University

In this article, we consider the existence of positive solutions for weakly coupled nonlinear elliptic systems {-△u＋u=（1＋a（x））｜u｜P-1u＋μ｜u｜a-2u｜v｜β＋λv in Rn,-△u＋u=（1＋b（x））｜v｜p-1v＋μ｜u｜a｜v｜β-2v＋λu in Rn To find nontrivial solutions, we first investigate autonomous systems. In this case, results of bifurcation from semi-trivial solutions are obtained by the implicit function theorem. Next, the existence of positive solutions of problem （0.1） is obtained by variational methods.

关键词： Elliptic system in RN positive solution bifurcation variational method

Proper holomorphic self-maps of smooth bounded Reinhardt domains in C^n

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Science china mathematics 2005年第z1期48卷 318-323页

作者： Pan Yifei Department of Mathematical sciences, Indiana university-Purdue university Fort Wayne Fort Wayne, IN 46805-1499 , U.S.A. school of mathematics and Informatics, jiangxi normal university, nanchang 330027, china Indiana Univ Purdue Univ Dept Math Sci Ft Wayne IN 46805 USA jiangxi normal Univ Sch Math & Informat Nanchang 330027 Peoples R China

It is proved that every proper holomorphic self-map of a smooth bounded Reinhardt domain of D'Angelo finite type in Cn (n ＞ 1) is an automorphism.

关键词： holomorphic, self-maps, Reinhardt domains.

UNIFORM ESTIMATE ON FINITE TIME RUIN PROBABILITIES WITH RANDOM INTEREST RATE

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Acta Mathematica Scientia 2010年第3期30卷 688-700页

作者：明瑞星何晓霞胡亦钧刘娟 school of mathematics and information sciences Jiangxi Normal University school of mathematics and Statistics Wuhan University College of Science Wuhan University of Science and Technology College of mathematics and Statistics Hubei Normal University

We consider a discrete time risk model in which the net payout （insurance risk） {Xk, k = 1, 2,...} are assumed to take real values and belong to the heavy-tailed class L∩ D and the discount factors （financial risk） {Yk, k = 1,2,...} concentrate on [θ, L], where 0 〈 0 〈 1, L 〈 ∞, {Xk, k = 1,2,...}, and {Yk, k=1,2,...} are assumed to be mutually independent. We investigate the asymptotic behavior of the ruin probability within a finite time horizon as the initial capital tends to infinity, and figure out that the convergence holds uniformly for all n ≥ 1, which is different from Tang Q H and Tsitsiashvili G （Adv Appl Prob, 2004, 36： 1278-1299）.

关键词： Random interest rate finite time ruin probability uniformity

A self-selecting memory element based on a method of interconnected ovonic threshold switching device

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Science china(information sciences) 2024年第3期67卷 319-320页

作者： Jinyu WEN Lun WANG jiangxi CHEN Hao TONG Xiangshui MIAO school of Integrated Circuits Huazhong University of Science & Technology Institute of Artificial Intelligence Huazhong University of Science & Technology Hubei Yangtze Memory Laboratories

Currently, the 3-D cross-point structure has been successfully applied in phase change memory(PCM) to achieve scalable and stackable memory arrays [1]. The ovonic threshold switching(OTS) selector consists of a memory element that is used to suppress the parasitic current in the 3-D cross-point arrays due to its highly nonlinear currentvoltage(I-V)characteristics which are significant for largescale memory arrays [2].

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Global Existence of Classical Solutions for Some Oldroyd-B Model via the Incompressible Limit

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Chinese Annals of mathematics,Series B 2006年第5期27卷 565-580页

作者： Zhen LEI school of Mathematical sciences, Fudan university, Shanghai 200433, china school of mathematics and Statistics, Northeast normal university, Changchun 130024, china. school of Mathematical sciences Fudan University Shanghai 200433 China school of mathematics Statistics Northeast Normal University Changchun 130024 China

In this paper, we prove local and global existence of classical solutions for a system of equations concerning an incompressible viscoelastic fluid of Oldroyd-B type via the incompressible limit when the initial data ... 详细信息

关键词： Incompressible limit Global existence Oldroyd model

The high order Schwarz-Pick lemma on complex Hilbert balls

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Science china mathematics 2010年第10期53卷 2649-2656页

作者： DAI ShaoYu1,2,CHEN HuaiHui1 & PAN YiFei3,4 1Department of mathematics,Nanjing normal university,Nanjing 210097,china 2Department of General Study Program,Jinling Institute of Technology,Nanjing 211169,china 3school of mathematics and Informatics,jiangxi normal university,nanchang 330022,china 4Department of Mathematical sciences,Indiana university-Purdue university Fort Wayne,Fort Wayne,IN 46805-1499,USA 1. Department of mathematics Nanjing Normal University Nanjing 210097 China2. Department of General Study Program Jinling Institute of Technology Nanjing 211169 China3. School of Mathematics and Informatics Jiangxi Normal University Nanchang 330022 China4. Department of Mathematical Sciences Indiana University-Purdue University Fort Wayne Fort Wayne IN 46805-1499 USA

In this paper we prove a high order Schwarz-Pick lemma for holomorphic mappings between unit balls in complex Hilbert *** addition,a Schwarz-Pick estimate for high order Fréchet derivatives of a holomorphic function ... 详细信息

关键词： complex Hilbert ball high order Schwarz-Pick lemma