arXiv 1004.21992010-04-13quant-ph

非线性量子光学弹簧

Nonlinear Quantum Optical Spring

M. J. Faghihi, M. K. Tavassoly

备注：: 10 pages, 9 figures, Submitted
发表信息：: Commun. Theor. Phys. 56 (2011) 327-332

摘要：

量子光弹簧的最初想法源于谐振子哈密顿量中振荡频率量子化的要求。这个目的是通过考虑一个弹簧来实现的，该弹簧的常数（以及其频率）取决于另一个系统的量子态。最近，认识到通过将$ω$频率调制到$ω\sqrt{1+μa^\dagger a}$的假设，可以建立所述思想。本文推广了量子光学弹簧（我们称之为非线性量子光学弹簧）的方法，并考虑了在非线性相干态中{ \it自然}观察到的{\it频率对辐射场强度的依赖性}。然后，在介绍了非线性量子光学弹簧的广义哈密顿量及其解之后，我们将研究所得到的态的非经典性质。特别地，在分布函数和压缩参数中，将揭示典型的坍缩和回复的特殊量子特征。

英文摘要：

The original idea of quantum optical spring arises from the requirement of quantization of the frequency of oscillations in Hamiltonian of harmonic oscillator. This purpose is achieved by considering a spring whose constant (and so its frequency) depends on the quantum states of another system. Recently, it is realized that by the assumption of frequency modulation of $ω$ to $ω\sqrt{1+μa^\dagger a}$ the mentioned idea can be established. In the present paper we generalize the approach of quantum optical spring (has been called by us as nonlinear quantum optical spring) with attention to the {\it dependence of frequency to the intensity of radiation field} that {\it naturally} observed in nonlinear coherent states. Then, after the introduction of the generalized Hamiltonian of nonlinear quantum optical spring and it's solution, we will investigate the nonclassical properties of the obtained states. Specially, typical collapse and revival in the distribution functions and squeezing parameters as particular quantum features will be revealed.

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