Engineering entanglement Hamiltonians with strongly interacting cold atoms in optical traps
Engineering entanglement Hamiltonians with strongly interacting cold atoms in optical traps
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DOI：
10.1103/physrevresearch.3.013112
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发表时间：
2020-07
影响因子：
4.2
通讯作者：
R. Barfknecht;T. Mendes-Santos;L. Fallani
中科院分区：
文献类型：
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作者：
R. Barfknecht;T. Mendes-Santos;L. Fallani
我们提出了一种在具有强相互作用冷原子的一维临界自旋系统中实现纠缠哈密顿量的建议。我们的方法是基于这样一个概念，即这类系统的纠缠谱可以通过包含一组依赖于位置的耦合的物理哈密顿量来实现。我们着重于重现两种不同几何系统的纠缠谱的普适比：谐势对应于嵌入在无限大系统中的分割，线性势对应于具有开放边界条件的半分割的性质。我们的结果表明，在一个真实的冷原子实验环境中，只需使用重力和标准捕获技术，就可以测量海森堡模型和XX模型的纠缠谱。
We present a proposal for the realization of entanglement Hamiltonians in one-dimensional critical spin systems with strongly interacting cold atoms. Our approach is based on the notion that the entanglement spectrum of such systems can be realized with a physical Hamiltonian containing a set of position-dependent couplings. We focus on reproducing the universal ratios of the entanglement spectrum for systems in two different geometries: a harmonic trap, which corresponds to a partition embedded in an infinite system, and a linear potential, which reproduces the properties of a half-partition with open boundary conditions. Our results demonstrate the possibility of measuring the entanglement spectra of the Heisenberg and XX models in a realistic cold-atom experimental setting by simply using gravity and standard trapping techniques.