High-order exceptional points in ultracold Bose gases

High-order exceptional points in ultracold Bose gases
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超冷玻色气体中的高阶特异点

DOI:
10.1103/physreva.99.011601
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发表时间:
2018-11
期刊:
影响因子:
2.9
通讯作者:
Cui Xiaoling
Cui Xiaoling
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Pan Lei;Chen Shu;Cui Xiaoling

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我们证明了任意高阶异常点(EPs)可以在一维斥力相互作用的两种玻色气体中实现。通过精确地解决非厄米双玻色子问题,我们证明了当系统被驱动穿过奇偶时间对称性破缺跃迁时,存在三阶EPs。我们进一步研究了具有三个玻色子的四阶EP,并将结果推广到$N$-体系统,其中EP阶可以高达$N+1$。在物理上,如此高的阶源于自旋玻色子的固有铁磁相关,这使得整个系统集体表现为一个巨大的自旋。此外,我们展示了如何通过不同自旋通道中的相互作用各向异性在EPs周围产生超灵敏的光谱响应。我们的工作提出了由高度可控的超冷气体制成原子传感器的可能性。
We show that arbitrarily-high-order exceptional points (EPs) can be achieved in a repulsively interacting two-species Bose gas in one dimension. By exactly solving the non-Hermitian two-boson problem, we demonstrate the existence of third-order EPs when the system is driven across the parity-time symmetry-breaking transition. We further address the fourth-order EPs with three bosons and generalize the results to the $N$-body system, where the EP order can be as high as $N+1$. Physically, such high order originates from the intrinsic ferromagnetic correlation in spinor bosons, which causes the entire system to collectively behave as a single huge spin. Moreover, we show how to create an ultrasensitive spectral response around EPs via an interaction anisotropy in different spin channels. Our work puts forward the possibility of atomic sensors made from highly controllable ultracold gases.
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发表时间: 1971
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