arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2406.13481quant-phgr-qc
收藏

低加速度下原子光谱中的强非惯性辐射位移

Strong Noninertial Radiative Shifts in Atomic Spectra at Low Accelerations

Navdeep Arya, D. Jaffino Stargen, Kinjalk Lochan, Sandeep K. Goyal

AI总结:

本文提出通过修改圆柱形腔内场模式态密度并监测辐射能级位移,在低加速度下将非惯性辐射位移增强至惯性项的50倍,为利用现有技术探测Unruh效应提供了可行途径。

摘要:

尽管已有大量研究探讨了不同场景下加速探测器的各种性质,但由于在可实现的加速度下信号通常很弱,探测 Unruh 效应仍然具有挑战性。对于一个频率间隙为 $ω_0$ 的原子,在自由空间中加速时,要产生由加速度引起的对跃迁率和辐射能量位移等性质的显著修正,需要加速度达到 $ω_0 c$ 量级。在本文中,我们提出,通过适当修改场的态密度,并辅以对所监测系统性质的审慎选择,可以改善这一状况。我们研究了与圆柱形腔内的无质量量子标量场耦合的惯性原子和匀加速原子中的辐射能级位移。匀加速原子在惯性真空中会经历热关联,辐射位移预计会相应地作出响应。我们证明,通过适当修改圆柱形腔内场模式的态密度,可以将能量位移中的非惯性贡献分离出来,并使其相对于惯性贡献得到显著增强。此外,我们证明,与跃迁率相比,监测辐射能量位移能够使我们获得更强的纯非惯性信号。我们发现,如果腔的半径 $R$ 以 $δR/R_{0} \sim 10^{-7}$ 的相对精度被确定,则可以在实验上可实现的小加速度($ a \sim 10^{-9} ω_{0} c$)下获得高达惯性能量位移 50 倍的纯非惯性辐射位移。鉴于惯性原子的辐射位移已经被高精度测量,我们认为辐射能级位移是一个有希望利用当前技术探测 Unruh 热性的可观测量。

英文摘要:

Despite numerous proposals investigating various properties of accelerated detectors in different settings, detecting the Unruh effect remains challenging due to the typically weak signal at achievable accelerations. For an atom with frequency gap $ω_0$, accelerated in free space, significant acceleration-induced modification of properties like transition rates and radiative energy shifts requires accelerations of the order of $ω_0 c$. In this paper, we make the case for a suitably modified density of field states to be complemented by a judicious selection of the system property to be monitored. We study the radiative energy-level shift in inertial and uniformly accelerated atoms coupled to a massless quantum scalar field inside a cylindrical cavity. Uniformly accelerated atoms experience thermal correlations in the inertial vacuum, and the radiative shifts are expected to respond accordingly. We show that the noninertial contribution to the energy shift can be isolated and significantly enhanced relative to the inertial contribution by suitably modifying the density of field modes inside a cylindrical cavity. Moreover, we demonstrate that monitoring the radiative energy shift, as compared to transition rates, allows us to reap a stronger purely-noninertial signal. We find that a purely-noninertial radiative shift as large as 50 times the inertial energy shift can be obtained at small, experimentally achievable accelerations ($ a \sim 10^{-9} ω_{0} c$) if the cavity's radius $R$ is specified with a relative precision of $δR/R_{0} \sim 10^{-7}$. Given that radiative shifts for inertial atoms have already been measured with high accuracy, we argue that the radiative energy-level shift is a promising observable for detecting Unruh thermality with current technology.

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。

↑