操作腔外原子可控制腔内原子的压缩特性

原子偶极压缩效应的研究一直是量子光学领域中的一个十分活跃的课题,而且这些研究中多限于初始处于单原子的单态或叠加态、双原子的直积态或相干态与光场的相互作用.近年来,原子的纠缠态引起了人们极大的研究兴趣.因为纠缠态不仅证明了量子力学的非局域性,而且被广泛应用于量子计算、量子密码术、量子隐形传态等方面.最近, Yang等人研究了初始处于EPR态的两个两能级原子,其中一个注入真空态腔中,然后通过对腔外原子的操作可以控制腔内原子的发射性质.Lin等人考虑了初始处于GHZ态的三个两能级原子,让其中两个原子分别注入两个处于真空态的共振腔中.在本文中,我们分别考虑原子初始处于EPR态或GHZ态,将其中一个或两个原子同时注入一个处于相干态的光腔中,在共振条件下通过操纵腔外原子来研究腔内原子的偶极压缩效应.结果表明:对腔外原子执行一次旋转操纵和测量,可以改变腔内原子存在的偶极压缩特性.这方面的研究工作对量子态的制备和腔场的辐射控制具有一定的实际意义.     

相干态Jaynes—Cummings模型中场的振幅N次方压缩

研究了一初始处于基态的二能级原子与相干态光场相互耦合的单光子Ｊａｙｎｅｓ－Ｃｕｍｍｉｎｇｓ（Ｊ－Ｃ）模型中场的振幅Ｎ次方压缩特性，并讨论了其压缩度随光场的初始平均光子数ｎ和压缩阶数Ｎ的变化。     

有限维Hilbert空间Roy型奇偶非线性相干态的振幅平方压缩

构造出了有限维Hilbert空间Roy型奇偶非线性相干态, 讨论了它们的正交归一完备性和振幅平方压缩效应. 研究表明, 在此空间中Roy型奇偶非线性相干态是归一完备的, 但不具有正交性; 当复参数相位角θ满足一定条件时它们存在振幅平方压缩效应, 同时导出了压缩条件与参数s,r以及函数f(n)之间的关系. 最后借助于数值计算, 发现对于5维(或7维)Hilbert空间中Roy型偶(或奇)非线性相干态, 当参数θ和Lamb-Dike参数η取某一给定值时, 在参数r变化的不同取值范围内, 它们均可以呈现振幅平方 关键词： 有限维Hilbert空间 Roy型非线性相干态 奇偶非线性相干态 振幅平方压缩     

非线性压缩单光子态的位相概率分布

利用f-谐振子的产生和湮灭算符的逆算符，构造了两个非线性压缩单光子态，并借助于Pegg—Barnett位相算符公式和数值计算方法，研究了它们的位相概率分布。结果表明，两个非线性压缩单光子态的位相概率分布不同；与通常的压缩单光子态、非线性压缩真空态不同，在这两个非线性压缩单光子态中，其位相概率分布能明显地反映出不同的量子位相信息和干涉特性。     

A new finite-dimensional thermal coherent state and its Wigner distribution function

This paper constructs a new type of finite-dimensional thermal coherent states (FDTCS), which differs from the proceeding thermal coherent state in construction, as realisations of SU(2) Lie algebra. Using the technique of integration within an ordered product of operator, it investigates the orthonormality and completeness relation of the FDTCS. Based on the thermal Wigner operator in the thermal entangled state representation, the Wigner function of the FDTCS is obtained. The nonclassical properties of the FDTCS are discussed in terms of the negativity of its Wigner function.     

New approach for anti-normally and normally ordering bosonic-operator functions in quantum optics

In this paper, we provide a new kind of operator formula for anti-normally and normally ordering bosonic-operator functions in quantum optics, which can help us arrange a bosonic-operator function f(λQ +νP) in its anti-normal and normal ordering conveniently. Furthermore, mutual transformation formulas between anti-normal ordering and normal ordering, which have good universality, are derived too. Based on these operator formulas, some new differential relations and some useful mathematical integral formulas are easily derived without really performing these integrations.     

Analytical and numerical investigations of displaced thermal state evolutions in a laser process

We investigate how displaced thermal states(DTSs) evolve in a laser channel. Remarkably, the initial DTS, an example of a mixed state, still remains mixed and thermal. At long times, they finally decay to a highly classical thermal field only related to the laser parameters κ and g. The normal ordering product of density operator of the DTS in the laser channel leads to obtaining the analytical time-evolution expressions of the photon number, Wigner function, and von Neumann entropy. Also, some interesting results are presented via numerically investigating these explicit time-dependent expressions.     

Quantum entanglement and control in a capacitively coupled charge qubit circuit

The macroscopic quantum entanglement in capacitively coupled SQUID (superconducting quantum interference device)-based charge qubits is investigated theoretically. The entanglement characteristic is discussed by employing the quantum Rabi oscillations and the concurrence. An interesting conclusion is obtained, i.e., the magnetic fluxes Ф_x1 and Ф_x2 through the superconducting loops can adjust the entanglement degree between the qubits.     

Establishing path integral in the entangled state representation for Hamiltonians in quantum optics

Based on two mutually conjugate entangled state representations, we establish the path integral formalism for some Hamiltonians of quantum optics in entangled state representations. The Wigner operator in the entangled state representation is presented. Its advantages are explained.     

The q-analogues of two-mode squeezed states constructed by virtue of the IWOP technique

The q-analogues of two-mode squeezed states are introduced by virtue of deformation quantization methods and the technique of integration within an ordered product （IWOP） of operators. Some new completeness relations about these squeezed states composed of the bra and ket which are not mutually Hermitian conjugates are obtained. Furthermore, the antibunching effects of the two-mode squeezed vacuum state S＇s（τ） │00） are investigated. It is found that, in different ranges of the squeezed parameter τ, both modes of the state exhibit the antibunching effects and the two modes of the state are always nonclassical correlation.