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.

Jaynes-Cummings (JC) 晶格中的强相关极化子可以在整数填充的莫特绝缘相和超流体相之间表现出量子相变。观察这种相变的先决条件是将极化子激发泵入 JC 晶格并将它们准备到适当的基态。尽管之前做出了努力，但以高精度生成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非线性斜坡在有限尺寸 JC 晶格中稳健制备极化子的多体基态的方法。我们将 Landau-Zener 类型的估计应用于这个有限大小的系统，并为选定的斜坡轨迹推导出最佳斜坡指数，这可以大大提高准备状态的保真度。通过数值模拟，我们表明，通过选择合适的斜坡轨迹，这种方法的保真度可以在几乎整个参数空间中保持接近统一。这种方法可以阐明量子模拟器中的高保真状态准备，并用实际设备推进量子模拟的实现。