We study the dynamical generation and storage of spin squeezed states, as well as more entangled states up to macroscopic superpositions, in a system composed by a few ultra-cold atoms trapped in a one-dimensional optical lattice. The system, initially in the superfluid phase with each atom in a superposition of two internal states, is first dynamically entangled by atom-atom interactions then adiabatically brought to the Mott-insulator phase with one atom per site where the quantum correlations are stored. Exact numerical diagonalization allows us to explore the structure of the stored states by looking at various correlation functions, on site and between different sites, both at zero temperature and at finite temperature, as it could be done in an experiment with a quantum-gas microscope.

中文翻译：

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在一维光学晶格中产生并存储自旋压缩态和格林伯格-霍恩-泽林格态

我们研究了在一个由陷于一维光学晶格中的几个超冷原子组成的系统中，自旋压缩态的动态生成和存储，以及直至宏观叠加的纠缠态。该系统最初是在超流体相中，每个原子处于两个内部状态的叠加，首先通过原子-原子相互作用动态地缠结，然后绝热地进入Mott-绝缘子相，每个位点一个原子被存储在其中，从而存储了量子相关性。精确的数值对角化使我们能够通过在零温度和有限温度下观察现场和不同位置之间的各种相关函数来探索存储状态的结构，这可以在量子气体显微镜的实验中完成。