论文标题

因果关系量子测量处的半古典重力现象学

Semi-classical gravity phenomenology under the causal-conditional quantum measurement prescription

论文作者

Liu, Yubao, Miao, Haixing, Chen, Yanbei, Ma, Yiqiu

论文摘要

物质能量量张量的量子期望值产生的半古典重力将改变物质量子状态的演变。 Schroedinger-Newton(SN)方程可以描述这种效果,其中半经典重力根据物质量子状态贡献重力潜在项。这种依赖状态的电位引入了SN理论中量子状态演化和测量的复杂性,这对于不同的量子测量处方而言是不同的。先前关于光学机械实验平台中SN理论现象学的理论研究是在所谓的后/选择前处方下进行的。这项工作将集中于因果关系处方下的SN理论的现象学,该分处方符合连续量子测量过程的标准直觉。在因果条件处方下,测试质量镜的量子状态是通过光学机械系统中传出光场的投影有条件且连续制备的。因此,引力电位取决于产生量子轨迹,并进一步影响系统的演化。在这项工作中,我们将系统地研究光力学系统中因果关系处方的各种实验可测量的SN理论的特征,以进行自重和相互重力方案。在三种不同处方下的SN现象学之间的比较也将仔细进行。此外,我们发现量子测量可以通过经典重力引起两个不同光场之间的经典相关性,这很难与量子重力介导的光场的量子相关性区分开。

The semi-classical gravity sourced by the quantum expectation value of the matter's energy-momentum tensor will change the evolution of the quantum state of matter. This effect can be described by the Schroedinger-Newton (SN) equation, where the semi-classical gravity contributes a gravitational potential term depending on the matter quantum state. This state-dependent potential introduces the complexity of the quantum state evolution and measurement in SN theory, which is different for different quantum measurement prescriptions. Previous theoretical investigations on the SN-theory phenomenology in the optomechanical experimental platform were carried out under the so-called post/pre-selection prescription. This work will focus on the phenomenology of SN theory under the causal-conditional prescription, which fits the standard intuition on the continuous quantum measurement process. Under the causal-conditional prescription, the quantum state of the test mass mirrors is conditionally and continuously prepared by the projection of the outgoing light field in the optomechanical system. Therefore a gravitational potential depends on the quantum trajectory is created and further affects the system evolution. In this work, we will systematically study various experimentally measurable signatures of SN theory under the causal-conditional prescription in an optomechanical system, for both the self-gravity and the mutual gravity scenarios. Comparisons between the SN phenomenology under three different prescriptions will also be carefully made. Moreover, we find that quantum measurement can induce a classical correlation between two different optical fields via classical gravity, which is difficult to be distinguished from the quantum correlation of light fields mediated by quantum gravity.

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