论文标题
二进制玻色网凝结物中的集合纠缠熵和光谱
Intercomponent entanglement entropy and spectrum in binary Bose-Einstein condensates
论文作者
论文摘要
我们研究了$ d $ d $空间尺寸的二元玻色网凝结物中的纠缠熵和频谱。我们采用有效的野外理论表明，纠缠频谱在存在的情况下（狂犬病耦合）和在不存在的情况下表现出异常的方形色散关系（狂犬病耦合）和间隙分散关系。这些光谱特征与远程相互作用的出现有关，就超氟速度和纠缠汉密尔顿的颗粒密度而言。我们的结果表明，在仅具有短距离相互作用的多组分BEC的子系统中可以模拟异常的远程相互作用。我们还发现，对于有限的狂犬病耦合，纠缠熵表现出量表缩放尺度，并具有跨层次的对数校正，源自Nambu-goldstone模式和对称恢复，以进行有限体积。
We study the entanglement entropy and spectrum between components in binary Bose-Einstein condensates in $d$ spatial dimensions. We employ effective field theory to show that the entanglement spectrum exhibits an anomalous square-root dispersion relation in the presence of an intercomponent tunneling (a Rabi coupling) and a gapped dispersion relation in its absence. These spectral features are associated with the emergence of long-range interactions in terms of the superfluid velocity and the particle density in the entanglement Hamiltonian. Our results demonstrate that unusual long-range interactions can be emulated in a subsystem of multicomponent BECs that have only short-range interactions. We also find that for a finite Rabi coupling the entanglement entropy exhibits a volume-law scaling with subleading logarithmic corrections originating from the Nambu-Goldstone mode and the symmetry restoration for a finite volume.
