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arXiv 2108.01754cond-mat.quant-gascond-mat.stat-mechquant-ph
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相互作用$d$维均匀玻色气体的Sub-nK测温

Sub-nK thermometry of an interacting $d$-dimensional homogeneous Bose gas

Muhammad Miskeen Khan, Mohammad Mehboudi, Hugo Tercas, Maciej Lewenstein, Miguel-Angel Garcia-March

摘要:

我们提出了实验上可行的手段,无损测温的均匀玻色-爱因斯坦凝聚体在不同的空间维度($d\in\{1,2,3\}$)。我们的基于杂质的协议表明,在亚纳米开尔文域的温度测量的基本误差范围高度依赖于尺寸,因为尺寸越高,精度越好。此外,次优测温的冷凝物,通过使用实验上可行的测量进行了探索。我们特别专注于测量属于高斯测量家族的杂质的位置和动量。我们表明,一般来说,实验可行的测量是远离最佳,除了在1D,位置测量确实是最佳的。这使得现实实验在所有维度的几个纳开尔文温度下表现得非常好,并且在一维场景中在亚纳开尔文温度下表现得非常好。这些结果采取了显着的一步,实验实现基于探针的量子测温的玻色-爱因斯坦凝聚体,因为它涉及到他们在一个,两个和三个维度,并使用可行的测量适用于当前的实验设置。

英文摘要:

We propose experimentally feasible means for non-destructive thermometry of homogeneous Bose Einstein condensates in different spatial dimensions ($d\in\{1,2,3\}$). Our impurity based protocol suggests that the fundamental error bound on thermometry at the sub nano Kelvin domain depends highly on the dimension, in that the higher the dimension the better the precision. Furthermore, sub-optimal thermometry of the condensates by using measurements that are experimentally feasible is explored. We specifically focus on measuring position and momentum of the impurity that belong to the family of Gaussian measurements. We show that, generally, experimentally feasible measurements are far from optimal, except in 1D, where position measurements are indeed optimal. This makes realistic experiments perform very well at few nano Kelvin temperatures for all dimensions, and at sub nano Kelvin temperatures in the one dimensional scenario. These results take a significant step towards experimental realisation of probe-based quantum thermometry of Bose Einstein condensates, as it deals with them in one, two and three dimensions and uses feasible measurements applicable in current experimental setups.

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