论文标题
使用Gutzwiller Monte Carlo方法的驱动式玻色 - 哈伯德模型的动力磁滞性能
Dynamical hysteresis properties of the driven-dissipative Bose-Hubbard model with a Gutzwiller Monte Carlo approach
论文作者
论文摘要
我们通过使用量子轨迹方法和群集 - gutzwiller ansatz来研究强烈相互作用的驱动性玻色 - 哈伯德模型的动力学特性，用于波函数。这使我们可以考虑经典和量子相关性。通过研究通过扫描连贯的驱动强度而产生的动力滞后表面，我们表明该系统的相图与Gutzwiller平均场结果具有定性对应。然而，存在定量差异，经典和量子相关性的包含会导致关键参数的显着转移。此外，我们表明依靠单峰分布（例如平均场和$ 1/z $扩展）的近似技术大大低估了粒子数的波动。最后，我们表明，在单个驱动 - 脉冲脉络性的kerr模型上，提出的驱动多体性多体玻色 - 哈伯德模型的映射对于磁滞性方案中的参数不准确。
We study the dynamical properties of a driven-dissipative Bose-Hubbard model in the strongly interacting regime through a quantum trajectory approach with a cluster-Gutzwiller Ansatz for the wave function. This allows us to take classical and quantum correlations into account. By studying the dynamical hysteresis surface that arises by sweeping through the coherent driving strength we show that the phase diagram for this system is in qualitative correspondence with the Gutzwiller mean-field result. However, quantitative differences are present and the inclusion of classical and quantum correlations causes a significant shift of the critical parameters. Additionally, we show that approximation techniques relying on a unimodal distribution such as the mean field and $1/z$ expansion drastically underestimate the particle number fluctuations. Finally, we show that a proposed mapping of the driven-dissipative many-body Bose-Hubbard model onto a single driven-dissipative Kerr model is not accurate for parameters in the hysteresis regime.
