arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2003.07854quant-ph
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一维光子浴中光子介导相互作用的极限

On the limits of photon-mediated interactions in one-dimensional photonic baths

E. Sánchez-Burillo, D. Porras, A. González-Tudela

摘要:

远距离量子发射体之间的非共振传播光子的交换引起它们之间的相干相互作用。这种相互作用的范围,以及它们是否伴随着耗散,取决于光子能量色散,它的维数,和/或光-物质耦合。在这份手稿中,我们的特点的情况下,一般的一维光子浴的光子介导的相互作用的限制的典型假设,即,有有限的范围跳跃的光子浴加上本地和双折射波光-物质耦合。在这种情况下,我们展示了如何,不管系统的参数,相干光子介导的相互作用总是可以写为指数的有限和,因此不能显示幂律渐近标度。作为展望,我们将展示如何通过放宽其中一些条件,例如,超越了局部的光-物质耦合(例如,巨原子)或更长距离的光子跳跃模型,幂律相互作用可以在一定的距离窗口内获得,甚至在后一种情况下的渐近状态下获得。

英文摘要:

The exchange of off-resonant propagating photons between distant quantum emitters induces coherent interactions among them. The range of such interactions, and whether they are accompanied by dissipation, depends on the photonic energy dispersion, its dimensionality, and/or the light-matter couplings. In this manuscript, we characterize the limits of photon-mediated interactions for the case of generic one-dimensional photonic baths under the typical assumptions, that are, having finite range hoppings for the photonic bath plus local and rotating-wave light-matter couplings. In that case, we show how, irrespective of the system's parameter, the coherent photon-mediated interactions can always be written as a finite sum of exponentials, and thus can not display a power-law asymptotic scaling. As an outlook, we show how by relaxing some of these conditions, e.g., going beyond local light-matter couplings (e.g., giant atoms) or with longer-range photon hopping models, power-law interactions can be obtained within certain distance windows, or even in the asymptotic regime for the latter case.

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