Detection of Chern numbers and entanglement in topological two-species systems through subsystem winding numbers
Detection of Chern numbers and entanglement in topological two-species systems through subsystem winding numbers
复制标题
通过子系统绕数检测拓扑二物种系统中的陈数和纠缠
DOI：
10.1088/1367-2630/16/8/083022
复制
发表时间：
2014
影响因子：
3.3
通讯作者：
J. Pachos
中科院分区：
文献类型：
--
作者：
James R. de Lisle;S. De;E. Alba;A. Bullivant;J. García;V. Lahtinen;J. Pachos
拓扑不变量，例如陈数，表征物质的拓扑相。在这里，我们提供了一种方法来检测系统中的两个不同种类的费米子，如自旋，轨道或几个原子状态的陈数。我们分析表明，陈数可以分解为一个组件特定的缠绕数，这本身是物理上可观察到的总和。我们将这种方法应用到两个系统，量子自旋霍尔绝缘体和交错拓扑超导体，并表明（自旋）陈数准确地再现。构造组件缠绕数所需的测量也使人们能够探测组件分区的纠缠谱。我们的方法特别适合于光学晶格中的冷原子实验，其中飞行时间图像可以直接访问相关的可观测量。
Topological invariants, such as the Chern number, characterize topological phases of matter. Here we provide a method to detect Chern numbers in systems with two distinct species of fermion, such as spins, orbitals or several atomic states. We analytically show that the Chern number can be decomposed as a sum of component specific winding numbers, which are themselves physically observable. We apply this method to two systems, the quantum spin Hall insulator and a staggered topological superconductor, and show that (spin) Chern numbers are accurately reproduced. The measurements required for constructing the component winding numbers also enable one to probe the entanglement spectrum with respect to component partitions. Our method is particularly suited to experiments with cold atoms in optical lattices where time-of-flight images can give direct access to the relevant observables.
影响因子：
3.3
作者：
Goldman, N.;Anisimovas, E.;Juzeliunas, G.
通讯作者：
Juzeliunas, G.