论文标题
两个引力猫状态的量子叠加
Quantum Superposition of Two Gravitational Cat States
论文作者
论文摘要
我们对探测重力猫状态（Gravcat）的早期工作---参见，ARXIV：1504.03103 ----在一个示例模型和Bose-Einstein冷凝物（BEC）中的两个坟墓的量子叠加到量子叠加。除了其在重力量子物理学和宏观量子现象中的基本理论值外，该研究还可以为测量重力引起的纠缠和扰动重力的量子性质提供一些理论支持。在第一部分中，我们考虑了双孔电势产生的猫状态。一对坟墓近似为两级系统，其特征是重力诱导的拉比振荡，并以重力诱导的能量特征态的纠缠。在第二部分中，我们转向（非权威的）量子场理论描述，并为BEC中形成的坟墓的重力Gross-Pitaevsky方程得出。使用数学类比量子转子，我们探索了BEC的两-gravcat系统的特性，其物理后果和观察性的可能性。最后，我们讨论了与替代量子理论的预测相比的结果，并解释了它们的含义。
We extend our earlier work on probing a gravitational cat state (gravcat)---see, arXiv:1504.03103 ---to the quantum superposition of two gravcats in an exemplary model and in Bose-Einstein condensates (BEC). In addition to its basic theoretical values in gravitational quantum physics and macroscopic quantum phenomena this investigation can provide some theoretical support to experimental proposals for measuring gravity-induced entanglement and the quantum nature of perturbative gravity. In the first part we consider cat states generated by double-well potentials. Approximated as two-level systems, a pair of gravcats is characterized by gravity-induced Rabi oscillations, and by gravity-induced entanglement of its energy eigenstates. In the second part we turn to a (non-relativistic) quantum field theory description and derive a gravitational Gross-Pitaevsky equation for gravcats formed in BECs. Using a mathematical analogy to quantum rotors, we explore the properties of the two-gravcat system for BECs, its physical consequences and observational possibilities. Finally we discuss our results in comparison to predictions of alternative quantum theories, and we explain their implications.
