论文标题
在耗散的驱动的两级系统上评估弱耦合近似值
Assessment of weak-coupling approximations on a driven two-level system under dissipation
论文作者
论文摘要
与Qubit频率相比,与开放量子系统相关的标准弱耦合近似已被广泛使用,该描述的两级量子系统(与量子频率相对较弱)相对较弱。然而,在受控量子系统耗散水平增加的受控量子系统实施方面的最新进展激发了质疑近似值的有效性的参数制度的精确研究,尤其是在时间依赖性驱动场的情况下。在本文中,我们通过通过数值精确和非扰动方法(称为随机的Liouville-Von Neumann neumann neumann方程)通过数值精确和非扰动方法来解决弱耦合近似值的精度。通过考虑较弱的驱动场和具有高截止频率的冷欧姆环境,我们使用马尔可夫·林德布拉德主方程作为雪橇方法的比较点,并研究了浴室诱导的能量转移对量子动力学的影响。我们还提出了一个指标,该度量可以用于实验中,以绘制Lindblad方程的有效性状态,以预测驱动量子的稳态。此外,我们研究了众所周知的Mollow Triplet的特征,并由于在实验可行的电路电动力学参数状态下观察了其崩溃。除了阐明Lindblad方程的实际局限性外,我们还希望我们的结果能够激发对工程开放量子系统的未来实验研究,其准确的建模可能受益于非扰动方法。
The standard weak-coupling approximations associated to open quantum systems have been extensively used in the description of a two-level quantum system, qubit, subjected to relatively weak dissipation compared with the qubit frequency. However, recent progress in the experimental implementations of controlled quantum systems with increased levels of on-demand engineered dissipation has motivated precision studies in parameter regimes that question the validity of the approximations, especially in the presence of time-dependent drive fields. In this paper, we address the precision of weak-coupling approximations by studying a driven qubit through the numerically exact and non-perturbative method known as the stochastic Liouville-von Neumann equation with dissipation. By considering weak drive fields and a cold Ohmic environment with a high cutoff frequency, we use the Markovian Lindblad master equation as a point of comparison for the SLED method and study the influence of the bath-induced energy shift on the qubit dynamics. We also propose a metric that may be used in experiments to map the regime of validity of the Lindblad equation in predicting the steady state of the driven qubit. In addition, we study signatures of the well-known Mollow triplet and observe its meltdown owing to dissipation in an experimentally feasible parameter regime of circuit electrodynamics. Besides shedding light on the practical limitations of the Lindblad equation, we expect our results to inspire future experimental research on engineered open quantum systems, the accurate modeling of which may benefit from non-perturbative methods.