光晶格中超冷分子纠缠量子动力学的涌现时标
Emergent Time Scale in Entangled Quantum Dynamics of Ultracold Molecules in Optical Lattices
摘要：
我们导出了一个新的晶格哈密顿量，\emph{Molecular Hubbard Hamiltonian}（MHH），它描述了在准一维光晶格中闭壳层超冷异质结分子在其绝对基态的基本多体物理。MHH是明确的时间依赖性，使得量子相变的概念的动态推广是必要的。使用时间演化块抽取（TEBD）算法来研究纠缠动力学，我们证明，在硬核玻色子分子在半填充的情况下，MHH表现出一个新兴的时间尺度，空间纠缠增长，晶体秩序出现，旋转状态之间的振荡自阻尼成渐近叠加。我们表明，这个时间尺度是一个非单调函数的物理参数描述的晶格。我们还指出，MHH的静态相界的实验映射可以用来测量分子的极化率张量。
英文摘要：
We derive a novel lattice Hamiltonian, the \emph{Molecular Hubbard Hamiltonian} (MHH), which describes the essential many body physics of closed-shell ultracold heteronuclear molecules in their absolute ground state in a quasi-one-dimensional optical lattice. The MHH is explicitly time-dependent, making a dynamic generalization of the concept of quantum phase transitions necessary. Using the Time-Evolving Block Decimation (TEBD) algorithm to study entangled dynamics, we demonstrate that, in the case of hard core bosonic molecules at half filling, the MHH exhibits an emergent time scale over which spatial entanglement grows, crystalline order appears, and oscillations between rotational states self-damp into an asymptotic superposition. We show that this time scale is a non-monotonic function of the physical parameters describing the lattice. We also point out that experimental mapping of the static phase boundaries of the MHH can be used to measure the molecular polarizability tensor.
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