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arXiv 1303.1973quant-ph
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轨道不稳定性与量子相干性的损失

Orbital instability and the loss of quantum coherence

Allan Tameshtit, J. E. Sipe

摘要:

我们比较量子退相干一般定期和混沌系统,通过偶极耦合与热库相互作用。使用时间相关的,自洽近似的哈特里的精神,我们推导出在高温极限的非对角元素的系统密度算子,最初对应于两个相邻的波包的相干叠加的表达式。我们将退相干速率与Eklfest机制中的李雅普诺夫指数联系起来。在这种情况下,系统的不稳定性越大,相干性的丧失就发生得越快。

英文摘要:

We compare quantum decoherence in generic regular and chaotic systems that interact with a thermal reservoir via a dipole coupling. Using a time-dependent, self-consistent approximation in the spirit of Hartree, we derive in the high temperature limit an expression for the off-diagonal elements of the system density operator that initially corresponds to a coherent superposition of two adjacent wave packets. We relate the decoherence rate to the Lyapunov exponent in the Ehrenfest regime. In this regime, the greater the instability of the system the faster the loss of coherence occurs.

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