论文标题
固定旋转波的近似
Fixing the rotating-wave approximation for strongly-detuned quantum oscillators
论文作者
论文摘要
定期驱动的振荡器通常在与驱动器共旋转并使用旋转波近似（RWA）的框架中描述。然而，众所周知，这种描述会导致抗恢复驾驶的错误。在这里，我们表明，使用振荡器的固有频率的颗粒创建和an灭粒子，当与RWA结合时，标准量子描述必须导致不正确的结果。我们在简单的谐波振荡器上证明了这一点，并提出了一个替代操作员基础，该操作员将RWA与非恢复驾驶进行调和。该方法还适用于更复杂的模型，该模型占已知差异。例如，我们证明了我们方案在驱动的量子悬挂振荡器上的优势。
Periodically-driven oscillators are commonly described in a frame co-rotating with the drive and using the rotating-wave approximation (RWA). This description, however, is known to induce errors for off-resonant driving. Here we show that the standard quantum description, using creation and annihilation of particles with the oscillator's natural frequency, necessarily leads to incorrect results when combined with the RWA. We demonstrate this on the simple harmonic oscillator and present an alternative operator basis which reconciles the RWA with off-resonant driving. The approach is also applicable to more complex models, where it accounts for known discrepancies. As an example, we demonstrate the advantage of our scheme on the driven quantum Duffing oscillator.
