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arXiv 0909.4179quant-ph
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噪声背景下的量子动力学

Quantum Dynamics Against a Noisy Background

Valentin V. Sokolov, Oleg V. Zhirov, Yaroslav A. Kharkov

摘要:

以受激四次振子为例,研究了受持续外部噪声影响的少自由度经典混沌量子系统的动力学行为。运动的稳定性和可逆性进行了详细分析,在依赖于噪声水平$σ$。临界水平$σ_c(t)$,低于该系统的噪声的响应仍然很弱,研究与演化时间。在该政权的Eklfest时间间隔$t_E$如此之短,经典的李雅普诺夫指数衰减的佩雷斯保真度不显示的时间依赖性,这个临界值被证明是幂。我们还估计退相干时间后,该运动变成一个马尔可夫过程。

英文摘要:

By the example of a kicked quartic oscillator we investigate the dynamics of classically chaotic quantum systems with few degrees of freedom affected by persistent external noise. Stability and reversibility of the motion are analyzed in detail in dependence on the noise level $σ$. The critical level $σ_c(t)$, below which the response of the system to the noise remains weak, is studied versus the evolution time. In the regime with the Ehrenfest time interval $t_E$ so short that the classical Lyapunov exponential decay of the Peres fidelity does not show up the time dependence of this critical value is proved to be power-like. We estimate also the decoherence time after which the motion turns into a Markovian process.

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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