论文标题
旋转玻璃符合气体的新阶段：涡流和量子相关性
Novel phases in rotating Bose-condensed gas: vortices and quantum correlation
论文作者
论文摘要
我们介绍了通过限制在准2D谐波陷阱中的有限范围的高斯电势相互作用的旋转玻璃符合气体相互作用的确切对角线化研究。在给定的量化总角动量子空间中，多体哈密顿矩阵的系统被对角度化，以获得最低的能量特征状态，并采用了最低的landau级近似值。在共旋转框架中，讨论了角动量状态的量子机械稳定性，以了解相互作用系统稳定状态之间的相变。从而分析von Neumann纠缠熵和凝结程度提供了有关多体状态中量子相关的信息。计算条件概率分布，我们进一步探测了机械稳定和不稳定状态的量子的内部结构。非常重点是在旋转系统中找到骨气原子的空间相关性，以形成和进入单量化的涡旋，然后在陷阱中心的中央涡流中组织成具有和不具有中央涡流的规范多边形。结果以电影的形式进行了总结，该电影描绘了具有离散p折旋转对称性的涡流图案，$ p = 2,3,4,5,6 $。
We present the exact diagonalization study of rotating Bose-condensed gas interacting via finite-range Gaussian potential confined in a quasi-2D harmonic trap. The system of many-body Hamiltonian matrix is diagonalized in given subspaces of quantized total angular momentum to obtain the lowest-energy eigenstate employing the beyond lowest-Landau-level approximation. In the co-rotating frame, the quantum mechanical stability of angular momentum states is discussed for the existence of phase transition between the stable states of interacting system. Thereby analyzing the von Neumann entanglement entropy and degree of condensation provide the information about quantum phase correlation in the many-body states. Calculating the conditional probability distribution, we further probe the internal structure of quantum mechanically stable and unstable states. Much emphasis is put on finding the spatial correlation of bosonic atoms in the rotating system for the formation and entry of singly quantized vortices, and then organizing into canonical polygons with and without a central vortex at the trap center. Results are summarized in the form of a movie depicting the vortex patterns having discrete p-fold rotational symmetry with $p = 2,3,4,5,6$.
