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Classical-driving-assisted coherence dynamics and its conservation

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Chinese Physics B 2018年第6期27卷 156-163页

作者： De-Ying gao Qiang gao Yun-Jie xia Shandong Provincial Key Laboratory of Laser Polarization and Information Technology Department of Physics Qufu Normal University Qufu 273165 China College of Dong Chang Liaocheng University Liaocheng 252000 China

We investigate the quantum coherence and quantum entanglement dynamics of a classical driven single atom coupled to a single-mode cavity. It is shown that the transformation between the atomic coherence and the atom-field entanglement exists, and can be improved by adjusting the classical driving field. The joint evolution of two identical single-body systems is also studied. The results show the quantum coherence transfers among composite subsystems, and the coherence conservation of composite subsystems is obtained. Moreover, the classical driving field can be used to suppress the decay of the coherence and entanglement, owing to considering the leaky cavity. The non-Markovian dynamics of the system is also discussed finally.

关键词： quantum coherence classical driving field decoherence

The Support of the Solution for Stochastic Differential Equations Driven by G-Brownian Motion

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Acta Mathematica Sinica,English Series 2012年第12期28卷 2417-2430页

作者： Fu qing gao Ming Zhou XU Department of Mathematics and Statistics Wuhan University

By a linear interpolation approximation method, we obtain a characterization of the support of the solution for stochastic differential equations driven by G-Brownian motion.

关键词： G-Brownian motion G-stochastic differential equation support theorem

Local Functional Limit Theorems of Increments for Brownian Motion

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Acta Mathematica Sinica,English Series 2018年第7期34卷 1074-1086页

作者： Fu qing gao Yong Hong LIU School of Mathematics and Statistics Wuhan University Wuhan 430072 P. R. China Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation School of Mathematics and Computing Science Guilin University of Electronic Technology Guilin 541004 P. R. China

In this paper, we present a local Csorgo- Revesz type functional limit theorem for increments of Brownian motion and give its convergence rate. The results also extend the functional forms of Levy＇s modulus of contin... 详细信息

关键词： Keywords Brownian motion increment local functional limit rate of convergence large deviation small deviation

Vertex-disjoint K_1+(K_1 ∪ K_2) in K_(1,4)-free Graphs with Minimum Degree at Least Four

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Acta Mathematica Sinica,English Series 2014年第4期30卷 661-674页

作者： Yun Shu gao qing Song ZOU School of Mathematics and Computer Science Ningxia University Department of Mathematics Xidian University

A graph is said to be K1,4-free if it does not contain an induced subgraph isomorphic to K1,4. Let κ be an integer with κ ≥ 2. We prove that if G is a K1,4-free graph of order at least llκ- 10 with minimum degree ... 详细信息

关键词： Forbidden graphs Vertex-disjoint subgraphs Minimum degree

Contributions of natural systems and human activity to greenhouse gas emissions

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Advances in Climate Change Research 2018年第4期9卷 243-252页

作者： YUE Xi-Liu gao qing-xian China Reinsurance (Group) Corporation Post-doctoral Workstation Beijing 100033 China Beijing Normal University Beijing 100875 China Chinese Research Academy of Environmental Sciences Beijing 100012 China

In this study, we conducted a literature review of relevant research and then statistically analyzed global greenhouse gas (GHG) emissions from natural systems, including forest fires, oceans, wetlands, permafrost, mud volcanoes, volcanoes, and earthquakes. Drawing on the Global Carbon Project (GCP) report, we also summarized the global anthropogenic GHG emissions. We then compared the global annual GHG emissions from natural systems with those generated by human activity. The results indicate that the global annual GHG emissions range approximately between 54.33 and 75.50 Gt CO2-eq, of which natural emissions account for 18.13e39.30 Gt CO2-eq, with the most likely value being approximately 29.07 Gt CO2-eq. According to the GCP report, the global anthropogenic emissions have increased from 22 Gt CO2-eq in 1990 to 36.2 Gt CO2-eq in 2016. The amounts of natural and anthropogenic GHGs emissions are roughly of the same order of magnitude. Anthropogenic emissions account for approximately 55.46% of the total global GHGs emissions (2016 value), i.e., the ratio of natural to anthropogenic emissions is approximately 0.8. In addition, the annual amount of GHGs absorbed by Earth systems (ocean and terrestrial ecosystems) ranges between approximately 14.4 Gt CO2-eq and 26.5 Gt CO2-eq, with natural system GHG emissions and sinks also having roughly the same order of magnitude. This finding indicates that the GHG emissions generated by human activity exert extra pressure on what is otherwise a self-balancing Earth system.

关键词： Greenhouse gases Natural emission Anthropogenic emission Global emission Natural system

A New Inequality for Weakly (K_1,K_2)-Quasiregular Mappings

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Acta Mathematica Sinica,English Series 2007年第12期23卷 2241-2246页

作者： Hong Ya gao Shu qing ZHOU ChinaCollege of Mathematics and Computer Hebei University Baoding 071002 P. R. Mathematical Study Center of Hebei Province Shijiazhuang 050016 P. R. China College of Mathematics and Computational Sciences Hu'nan Normal University Changsha 410081 P. R. China

We obtain a new inequality for weakly （K1,K2）-quasiregular mappings by using the McShane extension method. This inequality can be used to derive the self-improving regularity of （K1, K2）-Quasiregular Mappings.

关键词： (K1 K2)-Quasiregular mapping regularity McShane extension

Large Deviations for Parameter Estimators of Some Time Inhomogeneous Diffusion Process

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Acta Mathematica Sinica,English Series 2011年第11期27卷 2245-2258页

作者： Shou Jiang ZHAO Fu qing gao School of Mathematics and Statistics Wuhan University Wuhan 430072 P. R. China School of Science China Three Gorges University Yichang 443002 P. R. China

The goal of this paper is to study large deviations for estimator and score function of some time inhomogeneous diffusion process. Large deviation in the non-steepness case with explicit rate functions is obtained by ... 详细信息

关键词： Parameter estimation large deviations time inhomogeneous diffusion process

Large Deviations and Moderate Deviations for Kernel Density Estimators of Directional Data

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Acta Mathematica Sinica,English Series 2010年第5期26卷 937-950页

作者： Fu qing gao Li Na LI School of Mathematics and Statistics Wuhan University Wuhan 430072 P. R. China Department of Mathematics Tongji University Shanghai 200092 P. R. China

Let fn be the non-parametric kernel density estimator of directional data based on a kernel function K and a sequence of independent and identically distributed random variables taking values in d-dimensional unit sphere Sd-1. It is proved that if the kernel function is a function with bounded variation and the density function f of the random variables is continuous, then large deviation principle and moderate deviation principle for {sup x∈sd-1 ｜fn（x） - E（fn（x））｜, n ≥ 1} hold.

关键词： kernel density estimator directional data moderate deviations large deviations

Advanced optical gain materials keep on giving

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Science China Materials 2020年第8期63卷 1345-1347页

作者： qing Zhang Weibo gao Qihua Xiong Department of Materials Science and Engineering College of EngineeringPeking UniversityBeijing 100871China Division of Physics and Applied Physics School of Physical and Mathematical SciencesNanyang Technological UniversitySingapore 637371Singapore

In the past few decades,there has been a long-standing pursuit to exploring emergent materials with robust optical gain and superior light-matter interacting properties for the development of photonic and optoelectron... 详细信息

关键词： pursuit optical materials