论文标题
在Jaynes-Cummings Lattices中为多体基础状态做出了强大的准备
Robust Preparation of Many-body Ground States in Jaynes-Cummings Lattices
论文作者
论文摘要
Jaynes-cummings（JC）晶格中强相关的极性子可以在整数填充物的Mott构造和超流体相之间表现出量子相变。观察此类相变的先决条件是将极化量激发泵入JC晶格，并准备成适当的基态。尽管以前的努力，以高准确性产生多体状态仍然具有挑战性。在这里，我们提出了一种通过优化的非线性渐变在有限大小的JC晶格中在有限尺寸的JC晶格中稳健制备的方法。我们对此有限尺寸的系统应用Landau-Zener类型的估计，并为选定的坡道轨迹得出了最佳的坡道指数，这可以大大提高预备状态的忠诚度。通过数值仿真，我们表明，通过选择适当的坡道轨迹，这种方法中的保真度几乎可以保持在几乎整个参数空间中的统一性。这种方法可以阐明量子模拟器中的高保真状态制备，并推进使用实用设备的量子模拟实施。
Strongly-correlated polaritons in Jaynes-Cummings (JC) lattices can exhibit quantum phase transitions between the Mott-insulating and superfluid phases at integer fillings. The prerequisite to observe such phase transitions is to pump polariton excitations into a JC lattice and prepare them into appropriate ground states. Despite previous efforts, it is still challenging to generate many-body states with high accuracy. Here we present an approach for the robust preparation of many-body ground states of polaritons in finite-sized JC lattices by optimized nonlinear ramping. We apply a Landau-Zener type of estimation to this finite-sized system and derive the optimal ramping index for selected ramping trajectories, which can greatly improve the fidelity of the prepared states. With numerical simulation, we show that by choosing an appropriate ramping trajectory, the fidelity in this approach can remain close to unity in almost the entire parameter space. This approach can shed light on high-fidelity state preparation in quantum simulators and advance the implementation of quantum simulation with practical devices.
