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arXiv quant-ph/9812019quant-phchao-dynnlin.CDphysics.optics
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耗散高阶非谐振子的1/N展开、量子经典对应和非经典态的产生

The 1/N-expansion, quantum-classical correspondence and nonclassical states generation in dissipative higher-order anharmonic oscillators

Kirill N. Alekseev, Jan Perina

摘要:

基于Heidmann等[Opt. Commun. 54,189(1985)]和量子-经典对应。利用这种方法,我们解析地得到了在任意温度下高阶非谐耗散振子的非经典态生成动力学。我们表明,量子校正的经典运动随时间的平方增加到一些最大值,这是依赖于非线性度和阻尼常数,然后它减少。讨论了哈密顿混沌系统中经典运动的量子修正与相应行为的异同。我们还比较了我们的一些极限情况下,通过使用其他半经典工具得到的结果,并讨论了我们的方法的有效性的条件。

英文摘要:

We develop a method for the determination of thecdynamics of dissipative quantum systems in the limit of large number of quanta N, based on the 1/N-expansion of Heidmann et al. [ Opt. Commun. 54, 189 (1985) ] and the quantum-classical correspondence. Using this method, we find analytically the dynamics of nonclassical states generation in the higher-order anharmonic dissipative oscillators for an arbitrary temperature of a reservoir. We show that the quantum correction to the classical motion increases with time quadratically up to some maximal value, which is dependent on the degree of nonlinearity and a damping constant, and then it decreases. Similarities and differences with the corresponding behavior of the quantum corrections to the classical motion in the Hamiltonian chaotic systems are discussed. We also compare our results obtained for some limiting cases with the results obtained by using other semiclassical tools and discuss the conditions for validity of our approach.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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