Information Entropy Squeezing for a Atom in Mode-Mode Competition System

The entropy squeezing properties for a two-level atom interacting with a two-mode field via two different competing transitions are investigated from a quantum information point of view. The influences of the initial state of the system and the relative coupling strength between the atom and the field on the atomic information entropy squeezing are discussed. Our results show that the squeezed direction and the frequency of the information entropy squeezing can be controlled by choosing the phase of the atom dipole and the relative competing strength of atom-field, respectively. We find that, under the same condition, no atomic variance squeezing is predicted from the HUR while optimal entropy squeezing is obtained from the EUR, so the quantum information entropy is a remarkable precision measure for the atomic squeezing in the considered system.     

多光子J-C模型的场熵的演化

研究了一个二能级原子与相干光场多光子相互作用下场熵演化的动力学特性     

Dynamic statistical information theory

In recent years we extended Shannon static statistical information theory to dynamic processes and established a Shannon dynamic statistical information theory, whose core is the evolution law of dynamic entropy and dynamic information. We also proposed a corresponding Boltzmman dynamic statistical information theory. Based on the fact that the state variable evolution equation of respective dynamic systems, i.e. Fokker-Planck equation and Liouville diffusion equation can be regarded as their information symbol evolution equation, we derived the nonlinear evolution equations of Shannon dynamic entropy density and dynamic information density and the nonlinear evolution equations of Boltzmann dynamic entropy density and dynamic information density, that describe respectively the evolution law of dynamic entropy and dynamic information. The evolution equations of these two kinds of dynamic entropies and dynamic informations show in unison that the time rate of change of dynamic entropy densities is caused by their drift, diffusion and production in state variable space inside the systems and coordinate space in the transmission processes; and that the time rate of change of dynamic information densities originates from their drift, diffusion and dissipation in state variable space inside the systems and coordinate space in the transmission processes. Entropy and information have been combined with the state and its law of motion of the systems. Furthermore we presented the formulas of two kinds of entropy production rates and information dissipation rates, the expressions of two kinds of drift information flows and diffusion information flows. We proved that two kinds of information dissipation rates (or the decrease rates of the total information) were equal to their corresponding entropy production rates (or the increase rates of the total entropy) in the same dynamic system. We obtained the formulas of two kinds of dynamic mutual informations and dynamic channel capacities reflecting the dynamic dissipation characteristics in the transmission processes, which change into their maximum—the present static mutual information and static channel capacity under the limit case where the proportion of channel length to information transmission rate approaches to zero. All these unified and rigorous theoretical formulas and results are derived from the evolution equations of dynamic information and dynamic entropy without adding any extra assumption. In this review, we give an overview on the above main ideas, methods and results, and discuss the similarity and difference between two kinds of dynamic statistical information theories.     

电压控制不连续导电模式DC-DC变换器的熵特性研究

结合DC-DC变换器非线性特性随反馈增益k变化的关系,以及熵能够反映序列总体统计特征的特点,提出一种基于熵估计DC-DC变换器非线性行为的新方法. 以一阶电压反馈不连续导电模式 DCM Buck和Boost变换器为例,详细分析了不同反馈增益k和初值x₀形成的数值序列及熵的分布情况. 研究结果表明：DC-DC变换器的熵由反馈增益k决定,与初值x₀无关,最终小于理论极大值log₂N （N为统计区间个数）;熵能够准确区分DC-DC变换器的倍周期分岔和混沌行为,从而得到一种新的可量化的DC-DC变换器非线性动力学行为指标;完善了该类变换器非线性动力学分析的理论和方法.关键词：DC-DC变换器熵混沌k')\" href=\"#\">反馈增益k     

多光子Jaynes-Cummings模型场熵的演化

本文研究了多光子Jaynes-Cummings(J-C)模型场熵的演化性质、光场涨落的量度以及模型的有效性.     

宽带碲基掺铒光纤放大器多信道增益竞争的仿真分析

对新型宽带碲基掺铒光纤放大器(EDTFA)多信道间的增益演变关系进行了理论仿真。仿真结果表明:EDTFA多信道间的增益存在着一个竞争过程,竞争的强弱取决于碲基掺铒光纤内的能级粒子数分布;当上能级粒子数处于反转分布态时,具有较大的发射截面与吸收截面差值的波长信道拥有相对较大的竞争优势,可获得相对较高的信号增益;当上能级粒子数处于未反转分布态时,具有较大的发射截面与吸收截面比值的波长信道拥有相对较大的增益竞争优势。     

分形维数与熵间的关系

 分形维数是熵的另一种量度,并且还是一个态函数,这就是分形维数与熵间的定量关系或者叫做分形维数的物理意义。我们用非晶结构的位形（信息）熵与信息维数随压力变化的标度关系S₁(ε)∝ε^-D₁证明了我们的论断。这对于演化动力学的发展,特别是对于Prigogine提出的解决动力学与热力学的统一具有重要意义,同时也指出了用比例关系式作为测量分形维数的实验原理应该注意的问题。     

光场与纠缠双原子相互作用过程中的熵演化特性

研究了单模光场与纠缠双原子相互作用过程中熵的演化特性,讨论了双原子纠缠度与初始光场强度对场熵演化特性的影响.研究结果表明,双原子纠缠度影响场熵的平均值,而初始光场的强度则影响场熵演化的振荡特性.关键词：单模辐射场纠缠双原子场熵演化     

Tavis-Cummings模型中原子间偶极相互作用对场熵演化特性的影响

研究了单模辐射场与耦合双原子相互作用系统场熵的演化特性,讨论了原子间偶极相互作用对场熵演化特性的影响.研究结果表明,当原子间偶极偶极相互作用不太强时,场熵的时间演化行为与单光子JC模型相似;当原子间偶极偶极相互作用足够强时,场熵的时间演化行为与双光子JC模型相似关键词：单模辐射场耦合双原子场熵演化     

k光子Jaynes-Cummings模型光场的熵压缩

研究了k光子Jaynes-Cummings模型光场的熵压缩,讨论了光子数k和原子的初始状态对光场熵压缩的影响.结果表明,随光子数k的增大,光场的位置熵压缩愈趋明显,动量熵压缩量减小;当k≥3时,位置熵始终是被压缩的.原子的初态对光场的熵压缩也有一定的影响.关键词：Jaynes-Cummings模型熵压缩     

依赖强度耦合J－C模型场熵的演化

研究了依赖强度耦合Ｊ－Ｃ模型场熵演化的动力学特性，考察了原子相干性对场熵演化的影响。     

附加克尔介质Jaynes－Cummings模型的场熵演化

研究了附加克尔（Ｋｅｒｒ）介质Ｊａｙｎｅｓ－Ｃｕｍｍｉｎｇｓ（Ｊ－Ｃ）模型场熵演化的动力学特性，讨论了克尔介质非线性相互作用以及失谐量对场熵演化的影响．     

The Sign and Micro-Origin of Complexity as Entropy (Conjectured Resolution of a Paradox)

Evolution produces ever more ordered matter, while also increasing its complexity all the time. There are various ways of measuring complexity, such as Kolmogorov's algorithmic complexity, drawn from information theory, and identified with entropy, enchancing irreversibility in harmony with the second law of thermodynamics. On the other hand, however, the creation of order should have reduced entropy; quoting Schroedinger, it represents "negentropy." To resolve this apparent contradiction we first review a similar set up (though with a totally different interaction) occurring in black holes, a model in which the physics are now explicit and fully understood at the quantum level.