Quantum noise spectra for periodically driven cavity optomechanics
Quantum noise spectra for periodically driven cavity optomechanics
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DOI：
10.1103/physreva.96.063836
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发表时间：
2017-10
影响因子：
2.9
通讯作者：
E. Aranas;M. Akram;D. Malz;T. S. Monteiro
中科院分区：
文献类型：
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作者：
E. Aranas;M. Akram;D. Malz;T. S. Monteiro
越来越多的腔光力学实验装置利用周期性驱动场。然而，这样的设置不适合使用简单而强大的线性化光力学的封闭形式表达式进行分析，而线性化光力学提供了我们目前对实验光力学的理解。在本文中，我们制定了一种计算调制光力学系统中量子噪声谱的方法，我们分析、比较并讨论了最近提出的另外两种解决方案：我们将这些解决方案命名为(i)频移算子，（ii） Floquet[物理学]。(3)迭代分析[j].物理学报，2018,11(6)。我们证明(i)和（ii）产生等效的噪声谱，并发现（iii）是弱调制(i)的解析近似。我们计算了一个描述悬浮粒子在混合电光阱中实验的双调制系统的噪声谱。在热态和量子态的压缩中，我们显示了与朗格万随机模拟的良好一致性。最后，我们揭示了如何通过适当选择调制频率，在外差检测中测量调制系统的其他不可访问的频谱成分。
A growing number of experimental setups in cavity optomechanics exploit periodically driven fields. However, such setups are not amenable to analysis by using simple, yet powerful, closed-form expressions of linearized optomechanics, which have provided so much of our present understanding of experimental optomechanics. In the present paper, we formulate a method to calculate quantum noise spectra in modulated optomechanical systems, which we analyze, compare, and discuss with two other recently proposed solutions: we term these (i) frequency-shifted operators, (ii) Floquet [Phys. Rev. A 94, 023803 (2016)], and (iii) iterative analysis [New J. Phys. 18, 113021 (2016)]. We prove that (i) and (ii) yield equivalent noise spectra and find that (iii) is an analytical approximation to (i) for weak modulations. We calculate the noise spectra of a doubly modulated system describing experiments of levitated particles in hybrid electro-optical traps. We show excellent agreement with Langevin stochastic simulations in the thermal regime and predict squeezing in the quantum regime. Finally, we reveal how otherwise-inaccessible spectral components of a modulated system can be measured in heterodyne detection through an appropriate choice of modulation frequencies.