一类光子消灭算符a^N的正交归一化本征态的迭加态的振幅K次方压缩特性

本文对一类光子消灭算符a^N的正交归一化本征态的迭加态的振幅K次方压缩特性进行研究，结果表明一类光子消灭算符a^N的正交归一化本征态的迭加态的振幅K次方压缩特性明显地区别于a^N的正交归一化本征态的振幅K次方压缩。无论N取奇数还是偶数迭加态均在振幅K（K=Nt或Nt／2）次方压缩，     

光子湮没算符高次幂本征态的压缩性质

本文研究光子湮没算符高次幂α^k(k≥3)的k个正交归一本征态的压缩性质,发现当k为偶数时,这些本征态均可有振幅N次方(k=2N)压缩存在。 关键词：     

光子消灭算符高次幂的本征态及其性质

本文提出一种构造光子消灭算待高次幂α^N的正交归一本征态的一般方法,并着重研究了N=3场合下正交归一本征态的数学结构和量子统计性质,发现这些本征态均具有非经典效应,它们组成一个以非经典光场态作基矢的完备表象。 关键词：     

光子消灭算符k次幂本征态的量子统计性质

详细讨论了光子消灭算符任意k农幂a~k的正交归一本征态的振幅m(m≤k)次暴压缩和反聚束两种基本非经典效应.     

一类本征态迭加的高次压缩特性

对一类光子消灭算符aN的正交归一本征态的迭加态的振幅k次方压缩特性进行研究,结果表明一类aN的正交归一本征态的迭加态的振幅k次方压缩特性明显地区别于aN的正交归一本征态k次方压缩.无论N取奇数还是偶数迭加态均存在振幅k(k=Nt或Nt/2)次方压缩,当位相差δ=2mπ/t(m为整数)时迭加态不存在振幅k次方压缩;当δ=π时,只有N和t同时为奇数才有可能存在k次方压缩;当δ=π/2时,对应t≠4m的不同取值迭加态存在k次方压缩;因而参量的位相对振幅的k次方压缩起着关键性的作用.     

构造光子数湮没算子高次幂的正交本征态的新方法

本文以N 个相千态 为基矢构造了光子数湮没算子的高次幂 的N 个正交归一的本征函数, 并研究了这些态的压缩和反聚束性质. 结果表明, 仅当N=2 和4 时, 这些态才具有压缩性质, 但反聚束效应对每一个N 值都存在. 关键词：     

光子消灭算符高次幂本征态的数学结构及其性质

本文在文献[1]的基础上研究了光子消灭算符高次幂α^k(k≥3)的正交归一本征态的数学和量子统计性质,指出这些本征态均具有非经典效应,它们组成一个以非经典光场态作基矢的完备表象。在此之前,文献[1]讨论的k=3的情况只是我们所得普遍性结论的特例。 关键词：     

能量有限系统的相位算符与相位本征态

在简述相位算符研究的基础上，为了克服Ｐｅｇｇ-Ｂａｒｎｅｔ相位态平均光子数发散困难，提出有限能量系统的相位算符与相位本征态，研究了它的正交完备性、任意态函数的相位起伏计算及其在实际系统中的应用． 关键词：     

迭加态与压缩效应增强

本文运用量子力学态迭加原理,讨论由真空态和压缩态的迭加态获取更深压缩光场的可能性。结果表明,对弱场强浅压缩光场压缩加强效应非常显著;并且在迭加态中还呈现出反聚束的非经典效应。 关键词：     

The Photon-Number Distribution of the Lasers with Binomial Pump Model

A method on how to take into account pump statistics and spontaneous atomic decays when calculating the photon-number distribution of lasers in photon-number representation is presented. The intracavity phonon-number and extracavity photocount distributions with binomial pump and spontaneous atomic decays are calculated. In two limit cases, the results of calculations transit respectively to the photon-number distributions of systems with common Poissonian pump and regular pump, and both with the spontaneous atomic decays being suppressed.     

Squeezing and Higher-order Squeezing Properties of Eigenstates of the Operator akqs

The squeezing and higher-order squeezing properties of k orthonormalized eigenstates of the higher powers akqs(k≥3) of the annihilation operator of two-parameter deformed harmonic oscillator are investigated. It is found that the Nth-power squeezing [N=(m+1/2)k, m=0,1,2,…] can exist in the all of them when k is even.     

Quantum Nondemolition Measurement of Photon-Number Distribution for a Two-Mode Field

We propose a quantum nondemolition measurement of the photon-number distribution for a two-mode cavity field. In the scheme two sequences of two-level atoms interact dispersively with the respective cavity modes and resonantly with two classical fields, and then are detected continually. The field finally reduces to a two-mode Fock state. The probability of collapsing to a given Fock state is determined by the initial photon-number distribution. The scheme can be easily generalized to a field with N modes.     

双参数形变谐振子湮没算符高次幂本征态的反聚束效应

研究了双参数形变谐振子湮没算符高次幂(akqs,k≥3)本征态的反聚束效应,并就k=3的情况运用数值计算方法研究了双参数形变对该效应的影响.结果表明,在双参数形变相干态中谐振子强度x=｜α｜²的若干取值区间内,akqs的本征态均可呈现反聚束效应,并且明显地受到qs形变参数的影响.     

双参数形变谐振子湮没算符高次幂本征态的量子统计性质

研究双参数形变谐振子湮没算符高次幂本征态的量子统计特性. 结果表明, 当k为偶数时它们都可存在N次方压缩; 并且它们均可呈现反聚束效应.     

Detecting a Photon-Number Splitting Attack in Decoy-State Measurement-Device-Independent Quantum Key Distribution via Statistical Hypothesis Testing

Measurement-device-independent quantum key distribution (MDI-QKD) is innately immune to all detection-side attacks. Due to the limitations of technology, most MDI-QKD protocols use weak coherent photon sources (WCPs), which may suffer from a photon-number splitting (PNS) attack from eavesdroppers. Therefore, the existing MDI-QKD protocols also need the decoy-state method, which can resist PNS attacks very well. However, the existing decoy-state methods do not attend to the existence of PNS attacks, and the secure keys are only generated by single-photon components. In fact, multiphoton pulses can also form secure keys if we can confirm that there is no PNS attack. For simplicity, we only analyze the weaker version of a PNS attack in which a legitimate user’s pulse count rate changes significantly after the attack. In this paper, under the null hypothesis of no PNS attack, we first determine whether there is an attack or not by retrieving the missing information of the existing decoy-state MDI-QKD protocols via statistical hypothesis testing, extract a normal distribution statistic, and provide a detection method and the corresponding Type I error probability. If the result is judged to be an attack, we use the existing decoy-state method to estimate the secure key rate. Otherwise, all pulses with the same basis leading to successful Bell state measurement (BSM) events including both single-photon pulses and multiphoton pulses can be used to generate secure keys, and we give the formula of the secure key rate in this case. Finally, based on actual experimental data from other literature, the associated experimental results (e.g., the significance level is 5%) show the correctness of our method.     

Q变形非简谐振子湮没算符高次幂本征态的反聚束效应

引入了一种量子反聚束效应,研究了Q变形非简谐振子湮没算符K次幂(K≥3)的K个本征态的量子反聚束效应,探讨了这些本征态的物理意义.结果表明,这K个本征态均可呈现量子反聚束效应,它们都可由不同时刻依赖于时间的Q变形非简谐振子广义相干态的线性叠加而生成.     

The Superposition of Coherent States Along a Straight Line with Thermal Noise

ＴｈｅＳｕｐｅｒｐｏｓｉｔｉｏｎｏｆＣｏｈｅｒｅｎｔＳｔａｔｅｓＡｌｏｎｇａＳｔｒａｉｇｈｔＬｉｎｅｗｉｔｈＴｈｅｒｍａｌＮｏｉｓｅ￥ＺＨＵＫａｉｃｈｅｎｇ；ＭＡＳｏｎｇｔｉｎｇ；ＴＡＮＧＨｕｉｑｉｎ；ＨＵＡＮＧＤｕｚｈｉ；ＬＩＸｉｎｇｕａｎｇ（Ｄｅ...     

双参数形变谐振子湮没算符高次幂的本征态

构造了双参数形变谐振子湮没算符高次幂aqsk(k≥3)的本征态,并利用qs积分给出了其完备性的证明.     

Husimi算符与热真空态的Husimi分布函数

利用Husimi算符作为一个纯态密度算符的事实,我们导出了热场态的Husimi函数及其边缘分布.通过绘制相空间的Husimi分布图形,我们简要讨论了高斯展宽参数以及热真空态的温度对Husimi函数的影响.