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arXiv 1204.2673quant-ph
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一类新的$f$ -形变电荷相干态及其非经典性质

A new class of $f$-deformed charge coherent states and their nonclassical properties

M Mortazavi, M K Tavassoly

摘要:

利用$<η|$表象,我们已经引入了双模电荷(对)相干态。在本文中,我们重新获得这些国家的一个相当不同的方法。然后,利用非线性相干态方法,在简单介绍双模电荷相干态表象的基础上,将玻色子的产生和湮灭算符推广到$f$ -形变梯形算符,构造了一类新的$f$ -形变电荷相干态.不同于(线性)对相干态,我们提出的结构有潜力产生一个大类的对相干态的各种非经典符号和物理性质的兴趣。沿着这个目的,我们使用一些众所周知的非线性函数与特定的量子系统作为我们提出的形式主义的一些物理外观。在给出上述关联态在双模Fock空间中的显式表示后,通过计算正交压缩、Mandel参数、二阶关联函数、双模间二阶关联函数和Cauchy-Schwartz不等式,数值研究了相应态(以及双模线电荷相干态)的若干非经典特性.此外,光子计数的振荡行为和准概率(Husimi)函数的相关状态将被讨论。

英文摘要:

Two-mode charge (pair) coherent states has been introduced previously by using $<η|$ representation. In the present paper we reobtain these states by a rather different method. Then, using the nonlinear coherent states approach and based on a simple manner by which the representation of two-mode charge coherent states is introduced, we generalize the bosonic creation and annihilation operators to the $f$-deformed ladder operators and construct a new class of $f$-deformed charge coherent states. Unlike the (linear) pair coherent states, our presented structure has the potentiality to generate a large class of pair coherent states with various nonclassicality signs and physical properties which are of interest. Along this purpose, we use a few well-known nonlinearity functions associated with particular quantum systems as some physical appearances of our presented formalism. After introducing the explicit form of the above correlated states in two-mode Fock-space, several nonclassicality features of the corresponding states (as well as the two-mode linear charge coherent states) are numerically investigated by calculating quadrature squeezing, Mandel parameter, second-order correlation function, second-order correlation function between the two modes and Cauchy-Schwartz inequality. Also, the oscillatory behaviour of the photon count and the quasi-probability (Husimi) function of the associated states will be discussed.

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