论文标题

耗散量子系统中的双重性和混乱辅助隧道

Bistability and chaos-assisted tunneling in the dissipative quantum systems

论文作者

Kolovsky, Andrey R.

论文摘要

我们通过考虑耗散双共振模型来重新审视量子双稳定性和多稳定性问题。对于较大的驾驶频率,该系统比驱动的耗散非线性振荡器具有更简单的相结构 - 古典和量子双重性的范式模型。这使我们能够获得量子极限周期寿命的分析估计。另一方面,对于较小的驾驶频率,该系统比非线性振荡器要多得多。这使我们能够解决量子限制周期之间的耗散和混乱辅助隧穿的新现象。

We revisit the problem of quantum bi- and multi-stability by considering the dissipative Double Resonance Model. For a large driving frequency, this system has a simpler phase structure than the driven dissipative nonlinear oscillator -- the paradigm model for classical and quantum bistability. This allows us to obtain an analytical estimate for the lifetime of quantum limit cycles. On the other hand, for a small driving frequency, the system is much reacher than the nonlinear oscillator. This allows us to address a novel phenomenon of dissipation- and chaos-assisted tunneling between quantum limits cycles.

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