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1.
Normally Ordered Bivariate-Normal-Distribution Forms of Two-Mode Mixed States with Entanglement Involved 下载免费PDF全文
Based on the technique of integration within an ordered product of operators we have demonstrated that singlemode mixed states' density matrices can be recast into the normally ordered Gaussian forms [Chin. Phys. Lett. 24 (2007) 3322]. Here we employ the Weyl ordering invariance under similar transformations to show that some two-mode mixed states with entanglement involved can be put into normally ordered form in the bivariate normal distribution too and its marginal distributions can be analysed. In this way, density operators of quantum statistics can be analogous to mathematical statistics, and calculation of variances can be simplified. 相似文献
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XU Xue-Fen 《理论物理通讯》2006,45(2):332-334
Using the photon creation operator's eigenstate theory we derive the
normally ordered expansion of inverse of the squeezed creation operator. It
turns out that using this operator a kind of excitation on the squeezed
vacuum states can be formed. 相似文献
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我们研究一个耦合2谐振子系统的本征态问题。我们构造了由算子(x1+p2)和(x2+p1)的共同本征态组成的新纠缠态表象︱γ>。在︱γ>表象得到了系统哈密顿的本征值和本征态。同样的问题用二次量子化表象进行了研究。我们发现在Fock空间,二次量子化表象可以被用来推得本征态的正规积表示。特别是发现了系统基态为广义2模压缩态 相似文献
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P. Blasiak A. Gawron A. Horzela K. A. Penson A. I. Solomon 《Czechoslovak Journal of Physics》2006,56(10-11):1093-1098
We introduce a generalization of the Dobiński relation, through which we define a family of Bell-type numbers and polynomials. Such generalized Dobiński relations are coherent state matrix elements of expressions involving boson ladder operators. This may be used in order to obtain normally ordered forms of polynomials in creation and annihilation operators, both if the latter satisfy canonical and deformed commutation relations. 相似文献
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In this paper, we reconstruct the explicit representation of the radiation field eigenstates in Fock space by decomposing the normally ordered Gaussian operator. Then with the help of the technique of integration within an ordered product of operators, the phase-shifting operator in quantum optics has been expressed through the Dirac's representation theory. In addition, the unitarily equivalent relation between the radiation field eigenstates and the coordinate eigenstates has been naturally established by the phase-shifting operator in quantum optics. These results deepen people's understanding to the radiation field eigenstates and phase-shifting operator in quantum optics. 相似文献
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Hong-yi Fan 《Annals of Physics》2008,323(6):1502-1528
We show that Newton-Leibniz integration over Dirac’s ket-bra projection operators with continuum variables, which can be performed by the technique of integration within ordered product (IWOP) of operators [Hong-yi Fan, Hai-liang Lu, Yue Fan, Ann. Phys. 321 (2006) 480], can directly recast density operators and generalized Wigner operators into normally ordered bivariate-normal-distribution form, which has resemblance in statistics. In this way the phase space formalism of quantum mechanics can be developed. The Husimi operator, entangled Husimi operator and entangled Wigner operator for entangled particles with different masses are naturally introduced by virtue of the IWOP technique, and their physical meanings are explained. 相似文献
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FAN Hong-yi 《理论物理通讯》1989,12(2):219-227
In this paper, the completeness relations of the fundamental representations in quantum mechanics, together with the "integration within orderd product" technique are exploited to derive normally ordered and antinormally ordered expansions of some exponential operators in Hilbert space. Applications of the normally ordered exponential operators to evaluating Feynman matrix element in coherent state representation are given, which seems to be a new approach. 相似文献
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Luo-Yu FENG 《理论物理通讯》1993,20(4):489-492
This paper states that the technique of integration within ordered product (IWOP) provides us with a generally effective approach to normally ordering multimode exponential operators. In fact, all the operators listed in Ref. [5] can be normally ordered by virtue of IWOP, in contrast to the comment of Ref. [5]. 相似文献
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Corresponding to the Fresnel transform there exists a unitary operator in quantum optics theory, which could be known the Fresnel operator (FO). We show that the multiplication rule of the FO naturally leads to the quantum optical ABCD law. The canonical operator methods as mapping of ray-transferABCD matrix is explicitly shown by the normally ordered expansion of the FO through the coherent state representation and the technique of integration within an ordered product of operators. We show that time evolution of the damping oscillator embodies the quantum optical ABCD law. 相似文献
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Hong-yi Fan 《Annals of Physics》2007,322(4):866-885
Via the route of applying Newton-Leibniz integration rule to Dirac’s symbolic operators, we show that the density operator e−βH, where H is multi-mode quadratic interacting boson operators, is a mapping of symplectic transformation in the coherent state representation appearing in the form of non-symmetric ket-bra operator integration. By virtue of the technique of integration within an ordered product (IWOP) of operators, we deduce its normally ordered form which directly leads to the generalized partition function formula and the Wigner function. Some new representations, such as displacement-squeezing correlated squeezed coherent states, constructed by the IWOP technique, also bring convenience in deriving partition functions. 相似文献
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Ren-Shan GONG 《理论物理通讯》1992,17(3):373-376
This work shows that the coherent-state method provides us a very eimple approach to normally ordering multimode exponential operators, many of which can't be normally ordered simply by the technique of integration within an ordered product (IWOP). 相似文献
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Hong-Yi FAN 《理论物理通讯》1992,17(2):253-256
Using the technique of integration within ordered product (IWOP) of operators and the Schwinger boson representation for the angular momentum theory as well as the coherent state's method, we evaluate the Feynman transformation matrix element for the angular momentum system whose Hamiltonian is H = AJx + BJy + CJx (A, B, C real). The eigenstate of H is derived and the comparison between it and the SU(2) coherent state is made. 相似文献
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FAN Hong-Yi HU Shan 《理论物理通讯》2006,46(7)
We present a general formalism for setting up unitary transform operators from classical transforms via the technique of integration within an ordered product of operators, their normally ordered form can be obtained too. 相似文献
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FAN Hong-Yi HU Shan 《理论物理通讯》2006,46(1):55-57
We present a general formalism for setting up unitary transform operators from classical transforms via the technique of integration within an ordered product of operators, their normally ordered form can be obtained too. 相似文献
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We derive normally ordered quantum gate operators for continuum variables by mapping classical transforms onto Fock space. Successive gate operations can be treated in a unified way that is using the technique of integration within an ordered product of operators. 相似文献
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FAN Hong-Yi FU Liang 《理论物理通讯》2006,46(2):213-216
We show that the technique of integration within an ordered product of operators can be extended to Hilbert transform. In so doing we derive normally ordered expansion of Coulomb potential-type operators directly by using the mathematical Hilbert transform formula. 相似文献