论文标题
GUP校正Jaynes-Cummings模型
GUP Corrections to the Jaynes-Cummings Model
论文作者
论文摘要
普遍的不确定性原理（GUP）是对量子重力理论预测的海森堡不确定性原理的修改。在这项工作中，我们将GUP校正计算为著名的Jaynes-Cummings模型（JCM），目的是最终观察量子光学系统中的量子重力效应。为此，我们首先通过分析解决了经过GUP校正的JCM，并在二次GUP模型中获得校正后的Rabi频率。之后，我们计算出连贯状态下的分散性相互作用的影响，并表明这引起了1991年Agarwal和Tara最初研究的光子增添相干状态。后者会导致Wigner函数的价值变化，如果在实验室中检测到的话，这实际上是量子重重的标志。
The Generalized Uncertainty Principle (GUP) is a modification of Heisenberg's Uncertainty Principle predicted by several theories of quantum gravity. In this work, we compute GUP corrections to the well-known Jaynes-Cummings Model (JCM) with the aim of eventually observing quantum gravity effects in quantum optical systems. To this end, we first analytically solve the GUP-corrected JCM and obtain the corrected Rabi frequency in the quadratic GUP model. Following this, we calculate the effects of a dispersive interaction with light in a coherent state and show that this gives rise to photon-added coherent states that were first studied by Agarwal and Tara in 1991. The latter causes a change in the value of the Wigner function, which if detected in the laboratory, would in effect be a signature of quantum gravity.
