Maximum Shannon Entropy, Minimum Fisher Information, and an Elementary Game

We formulate an elementary statistical game which captures the essence of some fundamental quantum experiments such as photon polarization and spin measurement. We explore and compare the significance of the principle of maximum Shannon entropy and the principle of minimum Fisher information in solving such a game. The solution based on the principle of minimum Fisher information coincides with the solution based on an invariance principle, and provides an informational explanation of Malus' law for photon polarization. There is no solution based on the principle of maximum Shannon entropy. The result demonstrates the merits of Fisher information, and the demerits of Shannon entropy, in treating some fundamental quantum problems. It also provides a quantitative example in support of a general philosophy: Nature intends to hide Fisher information, while obeying some simple rules.     

脑功能激活光诱发机理小世界网络分析研究

研究光诱发和静息两种状态下的脑功能网络的信息传输枢纽、网络聚合能力和信息传输的最小路径的差异性。采用小世界网络理论对脑功能网络进行建模,通过对脑功能网络连接度、簇系数和最小路径进行分析,得出光诱发状态下的信息传输重要枢纽为岛叶、后扣带回功能区;丘脑、海马两处功能网络有较大聚合能力。光诱发过程从额上回经颞中回传输到枕中回。静息状态下的信息传输重要枢纽为楔叶、舌回;中央旁小叶、颞上回脑功能网络有较大聚合能力。静息状态下的左半区最佳信息传输路径为左额上回、左颞中回、右楔叶最后到左枕中回;右脑半区的为右额上回、右前扣带回、左枕下回最后到右枕中回。光诱发状态与静息状态的最佳传输路径有明显的区别。     

A two-step MaxLik-MaxEnt strategy to infer photon distribution from <Emphasis Type="Italic">on/off</Emphasis> measurement at low quantum efficiency

A method based on Maximum-Entropy (ME) principle to infer photon distribution from on/off measurements performed with few and low values of quantum efficiency is addressed. The method consists of two steps: at first some moments of the photon distribution are retrieved from on/off statistics using Maximum-Likelihood estimation, then ME principle is applied to infer the quantum state and, in turn, the photon distribution. Results from simulated experiments on coherent and number states are presented.     

准相位型光子筛设计

提出了一种准相位型光子筛。该准相位型光子筛通过改变暗环上小孔直径与带宽的比值,对焦点处的相位分布进行调制,使通过亮环和暗环上小孔的光波在焦点处发生相长干涉,生成聚焦光斑。该准相位型光子筛无需对基底进行特殊处理,即可完成相位型光子筛的制作,降低了加工难度。和普通振幅型光子筛相比,在相同最小加工尺寸的条件下,准相位型光子筛具有较大的数值孔径,可降低聚焦光斑尺寸。并且,和多区光子筛相比,在同样的最小加工尺寸及数值孔径的条件下,准相位型光子筛光斑尺寸及质量均优于对方。为大数值孔径光子筛设计提供了一种新的设计方法。     

弱相干光源测量设备无关量子密钥分发系统的性能优化分析

测量设备无关量子密钥分发系统能够抵御任何针对单光子探测器边信道的攻击, 进一步结合诱惑态的方案, 可以同时规避准单光子源引起的实际安全漏洞. 测量设备无关量子密钥分发系统中, 非对称传输、分束器的不对称以及各个单光子探测器存在实际参数差异等光学系统的具体实现特征会对系统误码率和成码率等性能产生一定的影响. 本文针对采用弱相干光源的测量设备无关量子密钥分发系统, 引入单光子探测器品质因子的实验参数(暗计数与探测效率的比值), 通过量子化描述, 理论推导并模拟了误码率与单光子探测器品质因子、分束器反射率以及通信双方弱相干光源平均光子数之间的关系. 结果表明: 在X基偏振编码 和相位编码系统中, 当分束器的反射率趋近于0.5时, 误码率取最小值; 在偏振编码和相位编码系统中, 误码率随着单光子探测器品质因子的增大而增大; 在Z基偏振编码系统中, 误码率随分束器的反射率的变化会呈现较小的波动, 当分束器的反射率为0.5时, 若通信双方采用的平均光子数相差较大, 则误码率取最大值; 分束器的反射率和平均光子数对误码率的影响在Z基情况下不能等同, 但是对于X基编码和相位编码却能等同.     

多波段相关光子光谱分布与时间相关性测量实验研究

基于相关光子的定标技术能够实现“无标准传递”绝对定标,研究相关光子的光谱辐射特性及时间相关特性对遥感器在宽波段的辐射定标具有重要意义。为满足光电探测器在宽谱段量子效率定标需求,基于相关光子的定标技术有必要从单一波段向更多波段扩展。根据自发参量下转换所满足的相位匹配条件,推导出相关光子在晶体内的非共线角计算公式,通过数值模拟相关光子光谱辐射角度分布规律,优化晶体相位匹配角,使得自发参量下转换产生的相关光子具有宽光谱分布,并且相关光子辐射角度与光谱波长能够一一对应。根据光谱分布数值模拟结果,建立了多波段相关光子的光谱分布和时间相关性测量实验系统,利用该系统测量了四对相关光子的光谱分布、符合计数、相关时间以及偏振特性。其中,测量的光谱分布范围为633~808 nm,最大光谱分布测量偏差为1.51 mm,光谱分布实验测量结果与数值模拟结果符合一致;测量了四对相关光子对的相关时间,最小相关时间为0.32 ns,并在实验中观察到了“符合三峰”现象;相关光子单光子计数及符合计数与泵浦光的偏振方向呈正弦函数关系。实验研究表明,相关光子对具有可见光~近红外宽波段分布、时间相关及偏振特性。论文研究结果在国内外尚属首次报道,该研究结果有望应用于光电探测器在多波段的辐射定标。     

Central photoproduction ofJ/ψ andϒ as a test of QCD

Central photoproduction ofJ/ψ and Υ are calculated using the QCD structure functions of the real photon and compared with the back-grounds arising from Bethe-Heitler production of μ pairs andJ/ψ and Υ production coming from the hadronic (vector meson) part of the real photon. It is shown that in principle central photoproduction ofJ/ψ can be used to obtain information on the QCD structure function of the real photon.     

TE mode photon echo in slab waveguides

A theory of TE mode photon echo in slab waveguides is developed. It is found that the conditions for generation of a photon echo in waveguides can substantially differ from those in bulk material. For the photon echo in waveguides there is an optimum value of the Rabi frequency, and the echo energy does not depend periodically on the Rabi frequency as in the case of bulk material photon echo. Moreover, it is shown that the capability for echo generation is different for different modes. In particular there are several modes in the waveguide which cannot, in principle, generate an echo.     

Experimental Realization of Popper's Experiment: Violation of the Uncertainty Principle?

An entangled pair of photons (1 and 2) are emitted in opposite directions. A narrow slit is placed in the path of photon 1 to provide the precise knowledge of its position on the y-axis and this also determines the precise y-position of its twin, photon 2, due to quantum entanglement. Is photon 2 going to experience a greater uncertainty in momentum, that is, a greater Δp_y because of the precise knowledge of its position y? The experimental data show Δy Δ p_y < h for photon 2. Can this recent realization of the thought experiment of Karl Popper signal a violation of the uncertainty principle?     

Photon momentum in a surface plasmon

It is shown that the photon momentum in a surface plasmon is ? k, where k is the plasmon wave vector. In a significantly delayed plasmon on a thin metal film or filament, the photon momentum is several hundred times larger than the momentum of a photon of the same frequency in a plane wave in free space. The plasmon-plasmon and free-space plane wave-plasmon scattering by a free electron is considered. It is shown that, in contrast to the plane wave-plane wave scattering, the electron acquires a significant momentum, while the scattered plasmon frequency significantly changes. The former process is similar to the Compton effect: scattering of X-ray and γ quanta (having a significant momentum) by an electron. In the latter process, the system composed on an incident photon and an electron at rest, which has a small total momentum, generates a photon and an electron, each having a large momentum. A device for detecting electrons from plasmons excited in nearby metal nanofilms and nanowires can be developed on the basis of this principle.     

半导体上转换单光子探测技术研究进展

近年来,量子通信技术取得了卓越的进步和发展,而作为接收端的单光子探测器在其通信系统中则起着至关重要的作用.本文聚焦于当前主流的半导体单光子探测器,就其器件原理、工作模式、优势和劣势等方面进行了相关评述.在此基础上,着重介绍了本课题组所提出的一种新型半导体近红外上转换单光子探测技术（USPD）的研究进展.从USPD的器件基本原理、器件结构、性能指标等方面阐述了其优越性和可行性,并给出了USPD最新的空间光耦合实验结果.半导体上转换单光子探测技术的关键特性在于它不是采用InP雪崩层结构实现信号的放大,而是利用成熟的硅单光子雪崩二极管（Si-SPAD）器件来实现信号的放大和采集,从而规避InP结构在暗计数率和后脉冲效应方面的问题.USPD利用半导体材料,通过外加电场将近红外光子上转换为短波近红外或者可见光子,再用商用Si-SPAD进行探测的方法,也为我们提供了一种单光子探测的新思路,打开了另一扇单光子探测的窗口.     

Low-energy theorems for nuclear compton and raman scattering and 0+ → 0+ two-photon decays in nuclei

Low-energy theorems for elastic photon scattering (nuclear Compton scattering) from a nucleus of arbitrary spin are derived in the nonrelativistic approximation through terms quadratic in the photon frequency. The same derivation is made for the special case of 0⁺ → 0⁺ nuclear excitation by inelastic photon scattering (nuclear Raman scattering). Use is made of the general principle of gauge invariance, which bypasses the need to specify the form of the current operator explicitly. A general discussion of the contribution of mesonic exchanges is made and their effect is isolated. The center-of-mass correction to the nuclear diamagnetic susceptibility is calculated. The 0⁺ → 0⁺ two-photon decay amplitude is obtained from the nuclear Raman amplitude and the transition rate is calculated.     

An Informational Approach to the Sinusoidal Law of Photon Polarization

The photon polarization law po ＝ sin2θ is derived from a simple informational consideration by twomethods: The first is via an intuitive principle of mininum Fisher information, the second is via a symmetry andinvariance argument. The results demonstrate that in photon polarization, Nature has a tendency to hide herselfas deepas possible while obeying some regular conditions.     

Fourier treatment to the diffractive optical element composed of Fresnel zone and pinholes

Currently, the minimum feature size fabricated is about 15-40 nm. The resolution of Fresnel zone plates is limited by the width of the outermost zone. Although the photon sieves make it possible to focus soft X-rays to spot sizes smaller than the diameter of the smallest pinhole they have low diffraction efficiency. In order to foster strengths and circumvent weaknesses of them, we propose a new model which is composed of Fresnel zone and pinholes and give its fast Fourier algorithm. The simulation results demonstrate that the resolution of photon sieves is not better than that of Fresnel zone plates in low order of local rings. In this case, we can substitute pinholes for Fresnel zone in photon sieves. Resolution is nearly a constant, and also the diffraction efficiency improves.     

Cross-sections for the photo-production of π0-mesons from hydrogen from 238 to 922 MeV

The results of a comprehensive series of measurements of the cross-sections for the photo-production of π⁰-mesons from hydrogen at pion c.m. angles from 47 to 145 degrees are presented. The minimum and maximum photon energies have been 238 and 922 MeV respectively.     

Heralded generation of ultrafast single photons in pure quantum States

We present an experimental demonstration of heralded single photons prepared in pure quantum states from a parametric down-conversion source. It is shown that, through controlling the modal structure of the photon pair emission, one can generate pairs in factorable states and thence eliminate the need for spectral filters in multiple-source interference schemes. Indistinguishable heralded photons were generated in two independent spectrally engineered sources and Hong-Ou-Mandel interference observed between them without spectral filters. The measured visibility of 94.4% sets a minimum bound on the mean photon purity.     

INTERFEROMETRIC DETECTION OF OPTICAL PHASE SHIFT USING TWIN BEAMS

An interferometric detection scheme to measure optical phase shift with sensi tivity beyond the shot noise limit is proposed. The theoretical calculation shows that using the quantum correlated twin beams produced from an optical parametric amplifier as the input fields of a Mach-Zehnder interferometer, the minimum detectable phase shift will exceed the shot noise limit N^-1/2 and approach the Heisenberg limit N^-1. The parametric dependences of the minimum detectable phase shift on the nonlinear interaction, input photon number, and detection efficiency are shown.     

Incoherent X-radiation produced by relativistic electrons in crystals

Differential and integral features of incoherent X-radiation, induced by relativistic electrons in crystals, are studied for observation angles θ_γ several times greater than γ^-1, where γ is the projectile Lorentz factor. The existence of sharp maxima and a minimum of the five-folded incoherent differential cross-section as a function of the final electron angles, and a dip minimum when the cross-section is taken as a function of the photon energies, is demonstrated. At near backward observation angles the three-folded cross-section shows a maximum in the region of several keV photon energies. The obtained results allow us to optimize the conditions for coincidence experiments, minimizing the incoherent contribution to the total radiation yield, and helping to analyse results of finite-size detector experiments with crystal targets. Received: 2 July 2001 / Accepted: 26 November 2001     

Fiber-assisted detection with photon number resolution

We report the development of a photon-number-resolving detector based on a fiber-optical setup and a pair of standard avalanche photodiodes. The detector is capable of resolving individual photon numbers and operates on the well-known principle by which a single-mode input state is split into a large number (eight) of output modes. We reconstruct the photon statistics of weak coherent input light from experimental data and show that there is a high probability of inferring the input photon number from a measurement of the number of detection events on a single run.     

在RHIC-PHENIX中、(√SNN)=200GeV Au+Au碰撞中直接光子的椭圆流测量

Azimuthal anisotropy of direct photon is measured in (√SNN)=200GeV Au Au collisions at RHICPHENIX. Direct photon is one of the most effective probes to study properties of hot dence medium at initial state (also QGP state) of heavy ion collisions because photons almost do not interact strongly with any other particles caused by its long mean free path and they keep their conditions when they are created. Within statistical and systematic errors, the elliptic flow parameter (v2) of direct photon is consistent with zero.Direct photon v2 is estimated by hadron decay photon contamination are subtracted from inclusive photon v2 in intermediate to high transverse momentum (pT) region (0 to 10GeV/c) for 3 centrality selections (20% steps) and minimum bias.