共查询到16条相似文献,搜索用时 125 毫秒
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热真空态的Husimi分布函数 总被引:3,自引:2,他引:1
根据量子统计中相空间的理论知识,采用两种不同的方法给出了热真空态的Husimi分布函数,并给出了热真空态的Wehrl墒.最后与相应混合态的Husimi分布函数进行比较,得出来热真空态的Husimi分布函数与混合态的Husimi分布函数是相一致的结论. 相似文献
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FAN Hong-Yi LIU Shu-Guang 《理论物理通讯》2007,47(3):427-430
We find a new x-parameter squeezed coherent state (p, q)κ representation, which possesses well-behaved features, i.e., its Wigner function's marginal distribution in the "q-direction" and in the "p-direction" is the Gauss/an form exp(-κ(q' - q)2}, and exp{(p' - p)2/κ}, respectively. Based on this, the Husimi function of(p, q)κ is also obtained, which is a Gauss/an broaden version of the Wigner function. The (P, q)κ state provides a good representative space for studying various properties ot the Husimi operator. 相似文献
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大量子数条件下量子力学的经典极限研究了有两个问题需要问题,其一是大量子数条件下算符之间的非对易性对是总能被忽略。其二是一个给定的大量子数波函数一般地描写什么样的经典体系。这两个问题都可借助Husimi分布来回答。 相似文献
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利用相干态表象下的Wigner算符和有序算符内的积分(IWOP)技术,首先得到了热相干态(量子纯态)的Wigner函数;同时借助相干态表象和算符的正规乘积形式给出了相应混合态的Wigner函数.结果表明,热相干态与相应混合态的Wigner甬数是相一致的,支持了热场动力学(TFD)理论.且采用相干态表象下的Wigner算符、IWOP技术和算符的正规乘积形式来研究量子态的Wigner函数非常简捷方便.研究结果加深了人们对量子统计中相空间技术和热场动力学(TFD)理论的认识,且对于其它量子纯态与相应混合态相空间分布函数一致性的研究具有很好的理论指导意义. 相似文献
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相干态表象在量子相空间分布函数中的应用 总被引:1,自引:1,他引:0
利用相干态表象和IWOP技术导出了自由热态密度矩阵的正规乘积形式,进而根据相干态表象下的Wigner函数定义重构了自由热态和热相干态的Wigner函数.结果表明利用相干态表象下的Wigner函数定义和算符的正规乘积形式可以方便简捷重构一些量子态的Wigner函数. 相似文献
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FAN Hong-Yi GUO Qin MA Shan-Jun 《理论物理通讯》2008,49(1):69-72
In this paper, the so-cMled Husimi operator △h(q,p; κ), which is introduced by smoothing out the Wigner operator △ω(q,p) br averaging over the "coarse graining" function exp[-κ(q' - q)^2- (p'- p)^2/κ], is now regarded as a Weft correspondence connecting the Husimi operator △h(q, p; κ) with its classical correspondence, since the integration kernel is just the Wigner operator. In this way we can easily identify |p, q; κ ) such that △ h ( q, p; κ ) = |p, q;κ ) (P, q; κ|, where |P, q;κ) is a new kind of squeezed coherent states. The entangled Husimi operator is also treated in this way. Thus a simple way to tnd the Husimi operator is presented. 相似文献
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The q-p phase-space distribution function is a popular tool to
study semiclassical physics and to describe the quantum aspects of a system. In this paper by using the pure state density operator formula of the Husimi operator
Δh(q,p;κ)=|p,q〉κκ〈p,q| we deduce the Husimi function of the excited squeezed vacuum state. Then we study the behavior of Husimi distribution graphically. 相似文献
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We propose a procedure to generalize the Husimi distribution to systems with continuous spectrum. We start examining a pioneering work, by Gazeau and Klauder, where the concept of coherent states for systems with discrete spectrum was extended to systems with continuous one. In the present article, we see the Husimi distribution as a representation of the density operator in terms of a basis of coherent states. There are other ways to obtain it, but we do not consider here. We specially discuss the problem of the continuous harmonic oscillator. 相似文献
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Based on the Husimi operator in pure state form introduced by Fan et al., which is a squeezed coherent state projector, and the technique of integration within an ordered product (IWOP) of operators, as well as the entangled state representations, we obtain the Husimi functions of the excited squeezed vacuum states (ESVS) and two marginal distributions of the Husimi functions of the ESVS. 相似文献
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Based on the Husimi operator in pure state form introduced by Fan et al., which is a squeezed coherent state projector, and the technique ofintegration within an ordered product (IWOP) of operators, as well as theentangled state representations, we obtain the Husimi functions of theexcited squeezed vacuum states (ESVS) and two marginal distributions of theHusimi functions of the ESVS. 相似文献
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Shunlong Luo 《Journal of statistical physics》2001,102(5-6):1417-1428
We calculate the Fisher information matrix of Husimi distribution in the Fock–Bargmann representation. It turns out that the Fisher information of the position and that of the momentum move in opposite directions, and that a weighted trace of the Fisher information matrix is a constant independent of the Husimi distribution. This may be interpreted as a kind of uncertainty relation (in the spirit of Heisenberg uncertainty principle) from the statistical inference point of view. 相似文献
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The anti-ferromagnetic spin-1/2 Ising model on the pure Husimi lattice with three sites in the elementary polygon (p=3) and the coordination number z=4 is investigated. It represents the simplest approximation of the anti-ferromagnetic Ising model on the two-dimensional kagome lattice which takes into account effects of frustration. The exact analytical solution of the model is found and discussed. It is proven that the model does not exhibit the first order as well as the second order phase transitions. A detailed analysis of the magnetization properties is performed and the existence of the magnetization plateaus for low temperatures is shown. All possible ground states of the model are found and discussed. 相似文献