共查询到18条相似文献,搜索用时 142 毫秒
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研究了双模SU(1,1)相干态光场与V型三能级原子玻色-爱因斯坦凝聚(BEC)相互作用系统中光场的量子相关性质、振幅平方压缩效应和原子激光压缩效应。结果表明,双模SU(1,1)相干态光场各模的二阶相干度不随时间变化,光场各模光子是反聚束的,呈现非经典效应,光场两模相关性是非经典相关。光场具有周期性的振幅平方压缩效应,讨论了光场相关参数和原子相关参数对压缩深度、压缩频率的影响。双模原子激光不易压缩,压缩深度取决于光场初态。 相似文献
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利用玻色振子的逆算符构造了SU(1,1)群的生成元和不可约表示的相干态,导出了SU(1,1)群的非齐次逆微分实现. 相似文献
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本文引进自旋体系的一般SU(2)相干态,讨论它的压缩特性、反聚束特性及其产生。证明当SU(2)群收缩到谐振子群时,一般SU(2)相干态转变成一般Glauber相干态,并给出有关的收缩结果。
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单模加光子双模SU(2)相干态的非线性高阶差压缩 总被引:1,自引:0,他引:1
穆轶 《原子与分子物理学报》2006,23(2):360-366
本文研究了单模加光子双模SU(2)相干态|M,ζ;m〉=Ama m|M,ζ〉的非线性高阶差压缩(即N次方X压缩)效应.数值计算结果表明:对于单模加光子双模SU(2)相干态,光场存在着非线性高阶差压缩??—N(=1,2,3,4,…)次方X压缩效应,且随着光场总光子数M的增加,N次方X压缩效应增强,但增大场模光子增加数m或增大N次方X压缩的压缩阶数N,N次方X压缩效应减弱. 相似文献
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Exact quantum states of the time-dependent quadratic Hamiltonian system are investigated using SU(1,1) Lie algebra. We realized
SU(1,1) Lie algebra by defining appropriate SU(1,1) generators and derived exact wave functions using this algebra for the
system. Raising and lowering operators of SU(1,1) Lie algebra expressed by multiplying a time-constant magnitude and a time-dependent
phase factor. Two kinds of the SU(1,1) coherent states, i.e., even and odd coherent states and Perelomov coherent states are
studied. We applied our result to the Caldirola–Kanai oscillator. The probability density of these coherent states for the
Caldirola–Kanai oscillator converged to the center as time goes by, due to the damping constant γ. All the coherent state
probability densities for the driven system are somewhat deformed.
PACS Numbers: 02.20.Sv, 03.65.-w, 03.65.Fd 相似文献
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The SU(1,1) coherent states, so-called Barut-Girardello coherent state and Perelomov coherent state, for the generalized two-mode time-dependent quadratic Hamiltonian system are investigated through SU(1,1) Lie algebraic formulation. Two-mode Schrödinger cat states defined as an eigenstate of $\hat{K}_{-}^{2}The SU(1,1) coherent states, so-called Barut-Girardello coherent state and Perelomov coherent state, for the generalized two-mode
time-dependent quadratic Hamiltonian system are investigated through SU(1,1) Lie algebraic formulation. Two-mode Schr?dinger
cat states defined as an eigenstate of
are also studied. We applied our development to two-mode Caldirola-Kanai oscillator which is a typical example of the time-dependent
quadratic Hamiltonian system. The time evolution of the quadrature distribution for the probability density in the coherent
states are analyzed for the two-mode Caldirola-Kanai oscillator by plotting relevant figures. 相似文献
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We study optical Fresnel transforms by finding the appropriate quantum mechanical SU(1,1) squeezing operators which are composed of quadratic combination of canonical operators. In one-mode case, the squeezing operator's matrix element in the coordinate basis is just the kernel of one-dimensional generalized Fresnel transform (GFT); while in two-mode case, the matrix element of the squeezing operator in the entangled state basis leads to the two-dimensional GFT kernel. The work links optical transforms in wave optics to generalized squeezing transforms in quantum optics. 相似文献
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Obada A.-S. F. Ahmed M. M. A. Ali Hoda A. Abd-Elnabi Somia Sanad S. 《International Journal of Theoretical Physics》2021,60(4):1425-1437
In this paper, we consider a special type of maximally entangled states namely by entangled SU(1,1) semi coherent states by using SU(1,1) semi coherent states(SU(1,1) Semi CS). The entanglement characteristics of these entangled states are studied by evaluating the concurrence.We investigate some of their nonclassical properties,especially probability distribution function,second-order correlation function and quadrature squeezing . Further, the quasiprobability distribution functions (Q-functions) is discussed.
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两参数变形量子代数SU(1,1)q,s的相干态及其性质 总被引:1,自引:1,他引:0
利用SU(1,1)q,s量子代数的两参数变形振子构造出归一化的SU(1,1)q,s相干态,证明了SU(1,1)q,s量子代数的表示基是正交的,并讨论了它的相干态的归一性和完备性。指出(SU(1,1)q,s相干态的相干性受参数q、s的影响。 相似文献
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The problem of the interaction between two quantum systems namely SU(1,1) and SU(2) is considered. Using the evolution operator technique, an exact solution of the wave function and consequently the density matrix are obtained. The entropy squeezing is examined and it has shown that, different values of the relative phase angle ? as well as the coupling parameter λ lead to different observation of the squeezing in the quadratures. In the meantime, we have shown that the entropy squeezing is also sensitive to the variation in the state angle θ, the detuning parameter Δ in addition to the excitation number m. Moreover, for a large value of the detuning parameter there is a weak entanglement between the atom and the quantum system and vice versa. Furthermore, we find that the Q-function is sensitive to the variation in the excitation number m in addition to the Bargmann index k where the nonclassical effect is pronounced for the even parity. 相似文献