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arXiv 2007.02218quant-phcond-mat.mes-hall
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Jaynes-Cummings晶格多体基态的稳健制备

Robust Preparation of Many-body Ground States in Jaynes-Cummings Lattices

Kang Cai, Prabin Parajuli, Guilu Long, Chee Wei Wong, Lin Tian

备注：
9 pages, 7 figures
发表信息：
npj Quantum Information 7, 96 (2021)
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摘要：

Jaynes-Cummings（JC）晶格中的强关联极化激元在整数填充下可以在Mott绝缘相和超流相之间发生量子相变。观察到这种相变的前提是将极化激元激发泵浦到JC晶格中并将它们准备到适当的基态。尽管之前的努力，它仍然是具有挑战性的，以高精度生成多体状态。在这里，我们提出了一种方法的鲁棒制备多体基态的极化激元在有限大小的JC晶格优化的非线性斜坡。我们应用Landau-Zener型的估计，这个有限大小的系统，并推导出最佳的斜坡指数选定的斜坡轨迹，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，通过选择一个适当的斜坡轨迹，在这种方法中的保真度可以保持接近统一的几乎在整个参数空间。该方法对量子模拟器中的高保真态制备具有重要的指导意义，对量子模拟在实际器件中的实现具有重要的意义。

英文摘要：

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.

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