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arXiv 1306.6359quant-phcond-mat.quant-gasnlin.CD
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量子vanderPol振子与囚禁离子的量子同步

Quantum synchronization of quantum van der Pol oscillators with trapped ions

Tony E. Lee, H. R. Sadeghpour

摘要:

Van der Pol振荡器是典型的自持振荡器,已被用于模拟生物和其他经典过程中的非线性过程。在这项工作中,我们研究量子涨落如何影响锁相在一个或多个范德波尔振荡器。我们发现,锁相是更强大的量子模型比在等效的经典模型。捕获离子实验非常适合通过边带加热和冷却运动模式来模拟量子体系中的范德波尔振荡器。我们提供了现实的实验参数${}^{171}\text{Yb}^+$与目前的技术实现。

英文摘要:

Van der Pol oscillators are prototypical self-sustaining oscillators which have been used to model nonlinear processes in biological and other classical processes. In this work, we investigate how quantum fluctuations affect phase-locking in one or many van der Pol oscillators. We find that phase-locking is much more robust in the quantum model than in the equivalent classical model. Trapped-ion experiments are ideally suited to simulate van der Pol oscillators in the quantum regime via sideband heating and cooling of motional modes. We provide realistic experimental parameters for ${}^{171}\text{Yb}^+$ achievable with current technology.

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