论文标题
多涡流玻色酿凝结物：使用高斯电势检查相互作用范围的作用
Multi-vortex Bose-Einstein condensate: examining the role of interaction range using Gaussian potential
论文作者
论文摘要
我们对$ 10 \ leq n \ leq 24 $无旋转玻色子的系统进行了精确的对角线化研究，该玻色子通过排斥高斯的潜力相互作用，并在$ xy $平面中谐波限制在$ z $轴上的外部旋转。高斯电势中的两体相互作用强度是在强烈的相互作用方向上采用的，其相互作用范围的值$ 0 \leqσ\ leq 1 $。 $ n $ n $ - hoby hamiltonian矩阵的对角度，在该政权中的总角度动量子空间中，$ 0 \ le l_ {z} \ le 4n $对应于填充分数$ν\ lyssim 3.2 $。 It is found that an increase in interaction range $σ$ leads to (a) a systematic decrease in energy, (b) an increase in the critical angular velocity $Ω_{c_{i}}$ of the $i${th} vortex state and (c) an increase in the largest eigenvalue $λ_{1}$, (condensate fraction), of one-particle reduced density矩阵（OPRDM）。 von noumann熵$ s_ {1} \ left（l_ {z}，σ\右）$，量化了多体基础状态下粒子之间的量子纠缠，在很大程度上被发现随着$σ$的增加而降低。观察到几个角动量状态的von Neumann熵的穿越，$σ$的变化。 Bose-Einstein冷凝物对旋转的响应通过$ L_ {Z} \ left（σ\ right）-Ω\ left（σ\ right）$稳定性图的$ l_ {z} \ left（σ\ right）-mody）$稳定性图。 $ l_ {z}-Ω$图上具有较大平台长度的涡流状态被认为更稳定。凝结物的内部结构，如条件概率分布（CPD）所示，体形框架中表现出具有相互作用范围$σ$的特征特征。这样的功能之一是两涡式状态的核心的合并。
We present exact diagonalization study on a system of $10 \leq N \leq 24$ spinless bosons interacting via repulsive Gaussian potential, harmonically confined in $xy$-plane with an externally impressed rotation about the $z$-axis. The two-body interaction strength in the Gaussian potential is taken in the strongly interacting regime with values of interaction range in the regime $0\leq σ\leq 1$. The diagonalization of the $N$-body Hamiltonian matrix, in subspaces of total angular momentum in the regime $0\le L_{z} \le 4N$ corresponds to the filling fraction $ν\lesssim 3.2$ is carried out to obtain the variationally exact ground-state wavefunction and the corresponding eigenvalue. It is found that an increase in interaction range $σ$ leads to (a) a systematic decrease in energy, (b) an increase in the critical angular velocity $Ω_{c_{i}}$ of the $i${th} vortex state and (c) an increase in the largest eigenvalue $λ_{1}$, (condensate fraction), of one-particle reduced density matrix (OPRDM). The von Neumann entropy $S_{1}\left(L_{z},σ\right)$, quantifying the quantum entanglement between the particles in the many-body ground state, is largely found to decrease with increase in $σ$. Crossings in von Neumann entropy for several of the angular momentum states are observed with variation in $σ$. The response of the Bose-Einstein condensate to rotation is examined through $L_{z}\left(σ\right)-Ω\left(σ\right)$ stability graph for several values of $σ$. A vortex state with larger plateau length on the $L_{z}-Ω$ graph is considered to be more stable. The internal structure of the condensate, as depicted by the conditional probability distribution (CPD) in the body-fixed frame, exhibits characteristic features with interaction range $σ$. One such feature is the merging of the cores of the two-vortex state.
