Interacting non-Hermitian ultracold atoms in a harmonic trap: Two-body exact solution and a high-order exceptional point
Interacting non-Hermitian ultracold atoms in a harmonic trap: Two-body exact solution and a high-order exceptional point
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谐波陷阱中非厄米超冷原子的相互作用：二体精确解和高阶异常点
DOI：
10.1103/physreva.99.063616
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发表时间：
2019-02
影响因子：
2.9
通讯作者：
Cui Xiaoling
中科院分区：
文献类型：
--
作者：
Pan Lei;Chen Shu;Cui Xiaoling
我们研究了具有自旋选择性耗散的三维（3D）谐波阱中相互作用的超冷原子，这种耗散可以用非厄米奇偶时间（$\mathcal{PT}$）对称哈密顿量有效地描述。通过精确求解三维谐波阱中自旋-1/2 （spin-1）玻色子的非厄米二体问题，我们发现由于自旋通道中的相互作用各向异性，该系统可以表现出具有超灵敏的立方根（五根）光谱响应的三阶（五阶）异常点（EP）。我们还提出了产生高阶EPs的一般原理及其具有任意粒子数$N$和任意自旋$s$的光谱灵敏度。更有趣的是，在与自旋无关的相互作用下，玻色子的EP阶可以高达$2Ns+1$，在$k$ -体相互作用各向异性下，EP周围的光谱响应可以像$\sim \epsilon^{1/(2ks+1)}$一样敏感。这些结果为在旋量冷原子系统中制造更强大的传感器器件提供了一条方便的途径。
We study interacting ultracold atoms in a three-dimensional (3D) harmonic trap with spin-selective dissipations, which can be effectively described by non-Hermitian parity-time ($\mathcal{PT}$) symmetric Hamiltonians. By solving the non-Hermitian two-body problem of spin-1/2 (spin-1) bosons in a 3D harmonic trap exactly, we find that the system can exhibit third-order (fifth-order) exceptional point (EP) with ultra-sensitive cube-root (fifth-root) spectral response due to interaction anisotropies in spin channels. We also present the general principle for the creation of high-order EPs and their spectral sensitivities with arbitrary particle number $N$ and arbitrary spin $s$. What is even more interesting is that with spin-independent interactions, the EP order of bosons can be as high as $2Ns+1$, and the spectral response around EP can be as sensitive as $\sim \epsilon^{1/(2ks+1)}$ under a $k$-body interaction anisotropy. These results could provide a convenient route towards more powerful sensor devices in spinor cold atomic systems.
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DOI：
10.1201/b18213-15
发表时间：
1972
期刊：
--
影响因子：
--
作者：
R. A. Beaumont
通讯作者：
R. A. Beaumont
影响因子：
16.6
作者：
Shubo Wang;B. Hou;B. Hou;Weixin Lu;Yuntian Chen;Zhao-qing Zhang;C. T. Chan
通讯作者：
Shubo Wang;B. Hou;B. Hou;Weixin Lu;Yuntian Chen;Zhao-qing Zhang;C. T. Chan
DOI：
10.5860/choice.35-3364
发表时间：
1971
期刊：
--
影响因子：
--
作者：
J. H. Wilkinson;C. Reinsch
通讯作者：
J. H. Wilkinson;C. Reinsch
影响因子：
1.7
作者：
Shunji Tuchiya;S. Kurihara
通讯作者：
Shunji Tuchiya;S. Kurihara
影响因子：
8.6
作者：
Burt, EA;Ghrist, RW;Wieman, CE
通讯作者：
Wieman, CE