Bias-modulated dynamics of a strongly driven two-level system
Bias-modulated dynamics of a strongly driven two-level system
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强驱动两能级系统的偏置调制动力学
DOI：
10.1103/physreva.93.033803
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发表时间：
2016-02
影响因子：
2.9
通讯作者：
Zheng Hang
中科院分区：
文献类型：
--
作者：
Lü Zhiguo;Yan Yiying;Goan Hsi-Sheng;Zheng Hang
利用反向旋转杂化光波（CHRW）方法研究了强驱动二能级系统的偏压调制动力学。这种CHRW方法将驱动场和偏置处理在一个具有两个参数$\xi$和$\zeta$的幺正变换的同等地位上，并且在驱动强度、隧穿幅度或偏置方面是无微扰的。此外，CHRW方法超越了传统的行波近似（Rabi-RWA），通过适当地选择两个参数$\xi$和$\zeta$，变换后的哈密顿量可以得到具有重整化能量分裂和重整化驱动强度的RWA形式.重新制定的CHRW方法具有相同的数学简单性的拉比RWA方法，从而使我们能够计算分析的动态和探索明确的影响的偏见。我们表明，CHRW方法给出了准确的驱动动力学的参数范围很广的数值精确的结果相比。当驱动的能量尺度与二能级系统的本征能量尺度相当时，反向旋转相互作用和静态偏置深刻地影响广义拉比频率。在这种情况下，普通的扰动方法失败，CHRW工作得很好，效率很高。我们还证明了系统的动力学在强驱动和非共振的情况下，拉比-RWA方法故障，但CHRW方法仍然有效。我们得到了广义拉比频率和偏置调制的布洛赫-西格特位移的偏置，隧道和驱动场参数的函数的解析表达式。CHRW方法是一种数学上简单、物理上清晰的方法。它可以应用于处理一些复杂的问题，数值研究是很难执行。
We investigate the bias-modulated dynamics of a strongly driven two-level system using the counter-rotating-hybridized rotating-wave (CHRW) method. This CHRW method treats the driving field and the bias on equal footing by a unitary transformation with two parameters $\xi$ and $\zeta$, and is nonperturbative in driving strength, tunneling amplitude or bias. In addition, this CHRW method is beyond the traditional rotating-wave approximation (Rabi-RWA) and yet by properly choosing the two parameters $\xi$ and $\zeta$, the transformed Hamiltonian takes the RWA form with a renormalized energy splitting and a renormalized driving strength. The reformulated CHRW method possesses the same mathematical simplicity as the Rabi-RWA approach and thus allows us to calculate analytically the dynamics and explore explicitly the effect of the bias. We show that the CHRW method gives the accurate driven dynamics for a wide range of parameters as compared to the numerically exact results. When energy scales of the driving are comparable to the intrinsic energy scale of the two-level systems, the counter-rotating interactions and static bias profoundly influence the generalized Rabi frequency. In this regime, where ordinary perturbation approaches fail, the CHRW works very well and efficiently. We also demonstrate the dynamics of the system in the strong-driving and off-resonance cases for which the Rabi-RWA method breaks down but the CHRW method remains valid. We obtain analytical expressions for the generalized Rabi frequency and bias-modulated Bloch-Siegert shift as functions of the bias, tunneling and driving field parameters. The CHRW approach is a mathematically simple and physically clear method. It can be applied to treat some complicated problems for which a numerical study is difficult to perform.
DOI：
10.1142/1476
发表时间：
1993-03
期刊：
--
影响因子：
--
作者：
U. Weiss
通讯作者：
U. Weiss
量子耗散系统
DOI：
10.1007/978-3-662-06758-1_7
发表时间：
2004
期刊：
--
影响因子：
--
作者：
S. Dattagupta;S. Puri
通讯作者：
S. Puri