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1.
光子消灭算符高次幂本征态的振幅N次方压缩 总被引:4,自引:0,他引:4
本文研究了光子消灭算符高次幂ak(k≥3)的k个正交归一本征态的振幅N次方压缩特性,结果表明,当k为偶数时,这些本征态均可存在振幅N次方(N=(m+1/2)k,m=0,1,2,…)压缩。 相似文献
2.
本文研究了q玻色湮没算符高次幂aqk(k≥3)正交归一本征态的反聚束效应,发现这些本征态均具有反聚束效应,它们可组成一个以非经典态作基矢的完备表象。 相似文献
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基于强度二阶矩定义, 导出了高斯涡旋光束光束传输因子即M2 因子的解析表达式, 高斯涡旋光束的M2 因子唯一取决于拓扑电荷数n. 数值计算表明, 高斯涡旋光束的M2 因子随着拓扑电荷数n的增大而增大. 基于强度高阶矩, 还导出了高斯涡旋光束经傍轴ABCD光学系统传输时峭度参数的解析表达式, 高斯涡旋光束的峭度参数取决于拓扑电荷数n、参数δ、矩阵元A和矩阵元D. 在自由空间传输时, 高斯涡旋光束的峭度参数仅取决于拓扑电荷数n和参数δ. 自由空间传输时, 高斯涡旋光束峭度参数的变化规律为: 峭度参数随参数δ的增大先减小而后趋向于一最小值, 随拓扑电荷数n的增大而减小. 这一研究有助于高斯涡旋光束的实际应用. 相似文献
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一种新型的两态叠加多模Schrödinger猫态光场的等阶N次方Y压缩 总被引:3,自引:3,他引:0
本文根据量子力学的线性叠加原理,构造了由多模(即q模)相干态的相反态|{-Zj}〉q及多模虚相干态|{Zj}〉q这两者的线性叠加所组成的一种新型的多模Schrdinger猫态光场|Ψ(2)〉q,利用新近建立的多模压缩态理论,研究了态|Ψ(2)〉q的N次方Y压缩效应。结果发现:①当压缩阶数N=2p且p=2m(m=1,2,3,…,…)时,态|Ψ(2)〉q总是恒处于N-Y最小测不准态;②当压缩阶数N=2p且p=2m+1(m=0,1,2,3,…,…)时,如果各模的初始相位φj,态间的初始相位差θpq(I)-θnq(R)以及各单模相干态光场的平均光子数之总和
等满足一定的量子化条件,则态|Ψ(2)〉q可呈现出周期性变化的、任意阶的N次方Y压缩效应;③当压缩阶数N=2p′+1时,无论p′=2m(m=0,1,2,…,…)还是p′=2m+1(m=0,1,2,3,…,…),只要各模的初始相位φj满足一定的量子条件,则当两态叠加几率幅满足rpq(I)=rnq(R)时,态|Ψ(2)〉q就恒处于N-Y测不准态,始终不呈现N-Y最小测不准态和N次方Y压缩;而当rpq(I)≠rnq(R)时,态|Ψ(2)〉q始终不呈现N-Y测不准态、N-Y最小测不准态和N次方Y压缩效应。 相似文献
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利用传统的固相反应法制备了BiFe1-xMnxO3 (x= 0-0.20)陶瓷样品, 研究了不同Mn4+掺杂量对BiFeO3陶瓷密度、物相结构、显微形貌、 介电性能和铁电性能的影响.实验结果表明:所制备的BiFe1-xMnxO3 陶瓷样品的钙钛矿主相均已形成,具有良好的晶体结构, 且在掺杂量x=0.05附近开始出现结构相变.随着Mn4+添加量的增加, 体系的相结构有从菱方钙钛矿向斜方转变的趋势,且样品电容率大幅度增大, 而介电损耗也略有增加;在测试频率为104 Hz条件下, BiFe0.85Mn0.15O3 (εr=1065)的 εr是纯BiFeO3 (εr=50.6)的22倍; 掺杂后样品的铁电极化性能均有不同程度的提高,可能是由于Mn4+稳定性优于 Fe3+,高价位Mn4+进行B位替代改性BiFeO3陶瓷, 能减少Bi3+挥发,抑制Fe3+价态波动,从而降低氧空位浓度,减小样品的电导和漏电流. 相似文献
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多模复共轭虚奇相干态光场的等阶高次压缩特性研究 总被引:39,自引:21,他引:18
本文构造了一种新型的多模复共轭虚奇相干态光场|Ψi,o*(2)>q,利用多模压缩态理论详细研究了态|Ψi,o*(2)>q的等阶N次方Y压缩与等阶N次方H压缩特性.结果发现:与多模奇相干态光场、多模复共轭奇相干态光场和多模虚奇相干态光场等所有的多纵模奇相干态光场的性质相同,多模复共轭虚奇相干态光场在任何条件下都不呈现等阶N次方Y压缩效应与等阶N次方H压缩效应,但在一定条件下却可恒处于等阶N-Y最小测不准态和等阶N-H最小测不准态.这表明所有的多纵模奇相干态光场之间,必定存在某些内在的必然性联系. 相似文献
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第Ⅱ种强度不等的非对称两态叠加多模叠加态光场的偶数阶等阶N次方Y压缩 总被引:5,自引:0,他引:5
本文构造了由多模复共轭相干态的相反态|{-Zj(a)*}>q与多模虚共轭相干态的相反态|{-iZj(b)*}>q这两者的线性叠加所组成的第Ⅱ种强度不等的非对称两态叠加多模叠加态光场|ΨⅡ(ab)>q,利用多模压缩态理论研究了态|ΨⅡ(ab)>q的任意偶数阶等阶N次方Y压缩特性.结果发现:1)在压缩阶数N取偶数,即N=2p的条件下,无论p=2m(m=1,2,3,…,…),还是p=2m+1(m=0,1,2,3,…,…),只要构成态|ΨⅡ(ab)>q的两个不同的量子光场态中各对应模的强度(即平均光子数)和初始相位都不相等,亦即Rj(a)≠Rj(b)和φj(a)≠φj(b)(j=1,2,3,…,q),并且
,则当满足一定的量子化条件(或者在一些闭区间内连续取值)时,态|ΨⅡ(ab)>q总可呈现出周期性变化的、任意偶数阶的等阶N次方Y压缩效应.2)在N=2p且p=2m+1(m=0,1,2,3,…,…)的条件下,若Rj(a)=Rj(b)和φj(a)=φj(b)(j=1,2,3,…,q),态|ΨⅡ(ab)>q则可呈现出等阶N次方Y压缩简并现象. 相似文献
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激光光束传输因子M2的一些问题 总被引:7,自引:4,他引:3
本文讨论与M2因子有关的一些问题,指出在近轴近似条件下由光束的二阶强度矩定义的M2因子满足M2≥1,其中只有对基模高斯光束等式才成立.由光束的功率通量值定义的M2因子(Mpc2)有可能小于1,Mpc2的大小取决于所定义的光斑半径内包含的光功率的百分数.通过计算光场的二阶矩,我们获得了轴向相干叠加的高斯光束的M2因子的解析解. 相似文献
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Ji-Suo Wang Jian Feng Tang-Kun Liu Ming-Sheng Zhan 《International Journal of Theoretical Physics》2002,41(12):2427-2437
In this paper, the completeness of the k orthonormalized eigenstates of the operator (a
q
f(N
q
))
k
(k 3) is proved. We introduce a new kind of higher order squeezing and an antibunching. The properties of the Mth-order squeezing and the antibunching effect of the k states are investigated. The result shows that these states may form a complete Hilbert space, and the Mth order [M = (m + 1/2)k;m = 0,1,2,. . .] squeezing effects exist in all of the k states when k is even. There is the antibunching effect in all of the states. 相似文献
12.
Alfred Wünsche 《Annalen der Physik》1992,504(3):181-197
The eigenvalue problem for arbitrary linear combinations kα + μα? of a boson annihilation operator α and a boson creation operator α? is solved. It is shown that these operators possess nondegenerate eigenstates to arbitrary complex eigenvalues. The expansion of these eigenstates into the basic set of number states | n >, (n = 0, 1, 2, …), is found. The eigenstates are normalizable and are therefore states of a Hilbert space for | ζ | < 1 with ζ ? μ/k and represent in this case squeezed coherent states of minimal uncertainty product. They can be considered as states of a rigged Hilbert space for | ζ | ? 1. A completeness relation for these states is derived that generalizes the completeness relation for the coherent states | α 〉. Furthermore, it is shown that there exists a dual orthogonality in the entire set of these states and a connected dual completeness of the eigenstates on widely arbitrary paths over the complex plane of eigenvalues. This duality goes over into a selfduality of the eigenstates of the hermitian operators kα + k* α? to real eigenvalues. The usually as nonexistent considered eigenstates of the boson creation operator α? are obtained by a limiting procedure. They belong to the most singular case among the considered general class of eigenstates with ζ ? μ/k as a parameter. 相似文献
13.
H.-y. Fan A. Wünsche 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2001,15(3):405-412
We examine the existence of right-hand eigenstates (or eigenkets) of the boson creation operator a
and determine their coordinate and their Bargmann representation. The eigenkets of the creation operator are ultrasingular
and cannot be considered as a limiting case of normalizable states. Applications of these eigenstates as auxiliary states
for purposes of representation of states by path integrals over coherent states are discussed. A completeness relation for
coherent states on paths through the complex plane is derived and special examples of its application are considered.
Received 9 March 2001 and Received in final form 13 June 2001 相似文献
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双参数变形玻色湮没算符高次幂的本征态及其量子统计性质 总被引:1,自引:1,他引:0
本文构造了双参数变形玻色湮没算符高次幂a'k(k≥3)的k个正交归一木征态的数学结构,发现它们能构成一个完备的Hilbert空间,并且讨论了它们的量子统计性质. 相似文献
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Ji-Suo Wang Tang-Kun Liu Jian Feng Jin-Zuo Sun 《International Journal of Theoretical Physics》2004,43(9):1891-1905
A class of k-quantum nonlinear coherent states, i.e., the k eigenstates of the powers B
k
(k 3) of the annihilation operator
of f-oscillators, is obtained and its completeness is investigated. An alternative method to construct them is proposed. We introduce a new kind of higher-order squeezing and sub-Poissonian distribution. The quantum statistical properties of the k states are studied. The result shows that all of the eigenstates can be generated by a linear superposition of k Roy-type nonlinear coherent states. These states may form a complete Hilbert space, and the M-th order [M = (n + 1/2)k; n = 0,1, ...] squeezing effects exist in all of the k states when k is even. There is the sub-Poissonian distribution in all of the states. 相似文献
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本文提出了用正交对称化方法由相干态产生非经典光场态-ak(k≥3)的k个正交归一本征态的一般方法,求出了正交对称化矩阵,找到了ak本征态的相干态源泉。 相似文献
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明显构造了aq2的两个正交归一本征态,并证明这两个本征态组成一个完备Hilbert空间。
关键词: 相似文献