论文标题
使用被困的离子量子模拟器观察Jaynes-Cummings-Hubbard模型中非马克维亚自旋动力学
Observation of Non-Markovian Spin Dynamics in a Jaynes-Cummings-Hubbard Model using a Trapped-Ion Quantum Simulator
论文作者
论文摘要
Jaynes-Cummings-Hubbard（JCH）模型是一种基本的多体相互作用的多体模型。作为量子模拟的领先平台，被困的离子系统已经实现了两到三个离子的JCH模型。在这里，我们报告了最多32个离子的JCH模型的量子模拟。我们通过工程较低的激发和较低的有效尺寸来验证大离子数的仿真结果。然后，我们扩展到32次激发，有效的尺寸为$ 2^{77} $，这对于古典计算机来说很难。通过将声子模式作为浴，我们在JCH模型的不同参数方面探索了马尔可夫或非马克维亚旋转动力学，类似于结构化光子环境中的量子发射器。我们进一步研究了非马克维亚动力学对有效希尔伯特空间维度的依赖性。我们的工作证明了被困的离子系统是多体物理和开放量子系统的强大量子模拟器。
Jaynes-Cummings-Hubbard (JCH) model is a fundamental many-body model for light-matter interaction. As a leading platform for quantum simulation, the trapped ion system has realized the JCH model for two to three ions. Here we report the quantum simulation of the JCH model using up to 32 ions. We verify the simulation results even for large ion numbers by engineering low excitations and thus low effective dimensions; then we extend to 32 excitations for an effective dimension of $2^{77}$, which is difficult for classical computers. By regarding the phonon modes as baths, we explore Markovian or non-Markovian spin dynamics in different parameter regimes of the JCH model, similar to quantum emitters in a structured photonic environment. We further examine the dependence of the non-Markovian dynamics on the effective Hilbert space dimension. Our work demonstrates the trapped ion system as a powerful quantum simulator for many-body physics and open quantum systems.
