参数化玻色湮灭算符高次幂的本征态及其量子起伏规律

以参数化方式「ｙ」＝（ｑ＾ｙ－１）／（ｑ－１）定义ｑ玻色湮灭算符ａｑ，生成相应的ｑ相干态，找出能产生并保持这类ｑ相干态的体系的哈密顿量。研究了α＾ｋｑ的正交归一本征态的数学结构和量子起伏性质，发现这些本征态中只有偶ｑ相干态存在通常的压缩效应，并且当ｑ〈１时，场的两个正交分量在各态中的量子起估可以同时有小于相干态的最小不确定度，有ｑ压缩效应。     

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.     

The Squeezing Operator and the Squeezed States of "Superspace

ＴｈｅＳｑｕｅｅｚｉｎｇＯｐｅｒａｔｏｒａｎｄｔｈｅＳｑｕｅｅｚｅｄＳｔａｔｅｓｏｆ＂Ｓｕｐｅｒｓｐａｃｅ＂￥ＳＵＮＣｈａｎｇｙｏｕ（ＤｅｐａｒｔｍｅｎｔｏｆＰｈｙｓｉｃｓ，ＨｅｉｈｅＴｅｃｈｅｒ＇ｓＣｏｌｌｅｇｅ，Ｈｅｉｈｅ１６４３００）ＭＡＡｉｑ...     

Study on the orthonormalization eigenstates of α_q~3

Ｓｔｕｄｙｏｎｔｈｅｏｒｔｈｏｎｏｒｍａｌｉｚａｔｉｏｎｅｉｇｅｎｓｔａｔｅｓｏｆα_ｑ~３￥ＸＩＡＤｅｙｏｎｇ（ＨａｒｂｉｎＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｈａｒｂｉｎ１５００８０，Ｃｈｉｎａ）ＲＥＮＭｉｎ，ＭＡＡｉｑｕｎ（ＨａｒｂｉｎＣｏｌｌｅｇ...     

奇偶相干迭加态的振幅高次方压缩

本文引入了学子消灭算符四次方算符α＾４新的正交归一本征态：奇偶相干态和奇偶相干迭加态，并研究了奇偶相干迭加态的振幅高次方压缩特性。     

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.     

奇偶相干态的SU2变换

本文以奇偶相干态为基矢,通过SU_2变换,构造了a~2的各正交归一本征态组,并讨论了它们的非经典效应与SU_2群参数的关系.     

SQUEEZING PROPERTIES OF q-DEFORMED OSCILLATOR

The q-coherent states are indeed minimum uncertainty states for corresponding q-deformed operators, The time evolution of q-coherent states are given by introducing the q-boson Hamiltoninn analogous to the one for normal bosons. It is shown that initially prepared q-coherent states are no longer the eigenstates of q-annihilation operator during time evolution and eventually become squeezing states. The squeezing properties are studied numerically.     

非简谐振子湮没算符高次幂的本征态及其高阶压缩性质

构造出了非简谐振子湮没算符N次幂(N≥3)的N正交归一本征态,并且研究了它们的数学性质及其高次方压缩特性.其结果表明,它们能组成一个完备的希尔伯特(Hibert)空间;且当N为偶数时,这些本征态均可呈现M次方压缩效应[M=(n 1/2)N,n=0,1,2,…]     

Phase and number fluctuation of the orthonormalization eigenstates of α~k

In this paper,the phase fluctuations of the orthonormalization eigenstates ofa~k(k>3)were calculated in coherent state representation.The results show that the fluctuat-ing properties of cosine and sine operators are the same,the phase fluctuations of│ψ_j〉_k(j ≠0)are always equal to 1/2,and the phase fluctuations of │ψ_0〉_k are the increasing function of│a│~2.When │a│~2→0 and │a│~2→∞,the limit values of phase fluctuations are 1/4 and 1/2respectively.The uncertainty relation between the particle number and the phase was dis-cussed.     

q变形算符aN的本征态的结构及其高阶压缩性质

证明了高阶振幅压缩的概念可以应用于q变形代数的光场。q变形算符aN 的正交归一本征态的压缩特点由这些态的内部奇偶结构决定。破坏这种奇偶结构将得到具有新压缩特点的光场。     

High-order squeezing of pure superposition states

Ｈｉｇｈ－ｏｒｄｅｒｓｑｕｅｅｚｉｎｇｏｆｐｕｒｅｓｕｐｅｒｐｏｓｉｔｉｏｎｓｔａｔｅｓＭＡＡｉｑｕｎ（ＨａｒｂｉｎＣｏｌｌｅｇｅ，Ｈａｒｂｉｎ，１５００２０，Ｃｈｉｎａ）ＺＨＡＮＧＹａｎｘｕｎ（ＤｅｐａｒｔｍｅｎｔｏｆＰｈｙｓｉｃｓ，ＨａｒｂｉｎＮ...     

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：     

A numerical study of the spectrum and eigenfunctions on a tubular arc

The Hamiltonian for a particle constrained to move on the surface of a curved nanotube is derived using the methods of differential forms. A two-dimensional Gram–Schmidt orthonormalization procedure is employed to calculate basis functions for determining the eigenvalues and eigenstates of a tubular arc (a nanotube in the shape of a hyperbolic cosine) with several hundred scattering centers. The curvature of the tube is shown to induce bound states that are dependent on the curvature parameter and bend location of the tube.     

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.     

电磁场与等离子体互作用和广义压缩相干态

本文用量子力学方法研究在一腔中的等离子体与电磁场的相互作用,求得系统的哈密顿量的本征值和本征态,这本征态是一种广义压缩相干态。还求得在广义压缩相干态,场的压缩、反聚束、亚泊松统计等效应以及测量相算符的有关公式,这些效应均为时间守恒的。 关键词：     

构造αN的各正交本征态的方法

本文用N个相干态│aexp(i2πn/N)>(n=1,2,000,N-1)为基矢构造α^N的各个正交归一本征态系的方法,研究了这些态的压缩和反聚束性质。结果表明,α^N有存在振幅m(m关键词：     

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.     

q变形叠加态及其特性

利用ｑ－振子代数提出了一种由ｑ变形振子的本征态（ｑ变形光子数态）叠回由成的态。给出了这种ｑ有叠加态的定义,研究了它们的量子统计性质。也讨论了这种态的压缩和ｑ压缩,并进一步研究了它们的寻常高阶压缩和ｑ高阶压缩。ｑ变形振子是一种非线性振子,通过这些讨论,推广通常的叠加态。     

Full counting statistics as a probe of quantum coherence in a side-coupled double quantum dot system

We study theoretically the full counting statistics of electron transport through side-coupled double quantum dot (QD) based on an efficient particle-number-resolved master equation. It is demonstrated that the high-order cumulants of transport current are more sensitive to the quantum coherence than the average current, which can be used to probe the quantum coherence of the considered double QD system. Especially, quantum coherence plays a crucial role in determining whether the super-Poissonian noise occurs in the weak inter-dot hopping coupling regime depending on the corresponding QD-lead coupling, and the corresponding values of super-Poissonian noise can be relatively enhanced when considering the spins of conduction electrons. Moreover, this super-Poissonian noise bias range depends on the singly-occupied eigenstates of the system, which thus suggests a tunable super-Poissonian noise device. The occurrence-mechanism of super-Poissonian noise can be understood in terms of the interplay of quantum coherence and effective competition between fast-and-slow transport channels.