arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1008.4464gr-qcastro-ph.CO
收藏

Horava-Lifshitz引力中的量子干涉效应

Quantum Interference Effects in Horava-Lifshitz Gravity

Abdullo Hakimov, Bobur Turimov, Ahmadjon Abdujabbarov, Bobomurot Ahmedov

摘要:

导出了在Hoenava-Lifshitz引力场中慢转物体时空中的相对论量子干涉效应,如Sagnac效应和中子干涉仪中干涉粒子的相移。本文考虑了慢转引力物体的Hoenava-Lifshitz引力中Kehagias-Sfetsos(KS)解~ \cite{ks09}的推广.在非相对论近似下,利用协变Klein-Gordon方程,证明了粒子干涉中的相移包含了KS参数为$ω$的引力势项。研究发现,在Sagnac效应的情况下,由于在Hoelava引力中局部非旋转观测者的角速度增大,KS参数$ω$的影响变得越来越重要.根据最近的实验结果~ \cite{holgeretal},我们得到了耦合KS常数的下限为$ω\simeq 1.25 \cdot 10^{-25} \rm{cm}^{2}$。最后,作为一个例子,我们将所得结果应用于在Hoenava-Lifshitz引力场中慢转引力物体引力场的UCN(ultra-cold neutron)能级修正的计算。

英文摘要:

The relativistic quantum interference effects in the spacetime of slowly rotating object in the Hořava-Lifshitz gravity as the Sagnac effect and phase shift of interfering particle in neutron interferometer are derived. We consider the extension of Kehagias-Sfetsos (KS) solution~\cite{ks09} in the Hořava-Lifshitz gravity for the slowly rotating gravitating object. Using the covariant Klein-Gordon equation in the nonrelativistic approximation, it is shown that the phase shift in the interference of particles includes the gravitational potential term with the KS parameter $ω$. It is found that in the case of the Sagnac effect, the influence of the KS parameter $ω$ is becoming important due to the fact that the angular velocity of the locally non rotating observer is increased in Hořava gravity. From the results of the recent experiments~\cite{holgeretal} we have obtained lower limit for the coupling KS constant as $ω\simeq 1.25 \cdot 10^{-25} \rm{cm}^{2}$. Finally, as an example, we apply the obtained results to the calculation of the UCN (ultra-cold neutrons) energy level modification in the gravitational field of slowly rotating gravitating object in the Hořava-Lifshitz gravity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑