Cavity quantum-electrodynamical response to a gravitational wave.
Cavity quantum-electrodynamical response to a gravitational wave.
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DOI：
10.1103/physrevd.46.1239
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发表时间：
1992-08
期刊：
影响因子：
--
通讯作者：
Gerlach
中科院分区：
文献类型：
--
作者：
Gerlach
从引力波(GW)发射器到接收器的信息传输速率是多少。为此，我们考虑了圆柱腔中的电磁模式对圆极化引力辐射的响应。结果表明，GW改变了腔内的折射率。事实上，对于反向循环的电磁模式，腔体内部变得双折射。因此，线偏振腔模受到GW的法拉第旋转。此外，对于与GW相同意义上循环的腔模，折射率变得复杂：腔内部表现出抗衰减，但仅在施加GW频率的有限间隔内。在此间隔内，腔模变得不稳定，其频率锁定在GW频率的一半(参数激励‘’)。在该间隔之外，腔模式打破了与GW的锁定同步。相反，模式以一种稳定的方式发展，就像对转模式一样，只有频率远离其未受干扰的值。腔振子的量子力学响应被表示为在虚拟的三维洛伦兹空间中绕虚拟磁场旋转的顶部。在没有任何撞击GW的情况下，这个磁场更像时间一样，而且是垂直向上的。在GW的存在下，这个磁场发生了变化。矢量变化与GW的频率和最大振幅直接相关。产生的磁场是倾斜的，对于稳定的演化来说是时间状的，但对于不稳定的演化来说是空间状的。简谐振子(SHO)的可观测集合被分解成相互排斥且联合穷尽的自旋-iitj}对象集。它们构成了受GW影响的腔振子的三维洛伦兹空间竞技场的对称群的有限表示。
What is the rate of information transfer from a gravitational wave (GW) transmitter to a receiver To this end we consider how electromagnetic modes in a cylindrical cavity respond to circularly polarized gravitational radiation. It is found that a GW changes the refractive index inside the cavity. In fact, the cavity interior becomes birefringent for electromagnetic modes circulating in opposite directions. A linearly polarized cavity mode is thus subjected to Faraday rotation by the GW. In addition, for a cavity mode circulating in the same sense as the GW, the refractive index becomes complex: the cavity interior exhibits antidamping, but only over a finite interval of the applied GW frequency. Inside this interval the cavity mode becomes unstable and its frequency locks onto one-half the GW frequency ( parametric excitation''). Outside this interval the cavity mode breaks the lock-in synchronization with the GW. Instead, the mode evolves in a stable fashion and, like a counterrotating mode, only suffers a frequency pulling away from its unperturbed value. The quantum-mechanical response of the cavity oscillator is expressed as a spinning top precessing around a fictitious magnetic field in a fictitious three-dimensional Lorentz space. In the absence of any impinging GW this magneticmore » field is timelike and straight up. In the presence of a GW this magnetic field gets changed. The vectorial change is directly related to the frequency and the maximum amplitude of the GW. The resultant magnetic field is tilted and timelike for stable evolution, but spacelike for unstable evolution. The set of observables of a simple harmonic oscillator (SHO) is decomposed into mutually exclusive and jointly exhaustive sets of spin-{ital j} objects. They make up the finite representations of the symmetry group of the three-dimensional Lorentz space arena for the cavity oscillator influenced by a GW.« less