Plateau dynamics with quantized oscillations of a strongly driven qubit
Plateau dynamics with quantized oscillations of a strongly driven qubit
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强驱动量子位的量子化振荡的平台动力学
DOI：
10.1103/physreva.102.053703
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发表时间：
2020-10
影响因子：
2.9
通讯作者：
Zheng Hang
中科院分区：
文献类型：
--
作者：
Chen Yejia;Lü Zhiguo;Yan Yiying;Zheng Hang
本文用一种透明的解析方法--反向旋转杂化行波（CHRW）方法，研究了强驱动二能级系统（TLS）的动态时间局域化.该方法基于具有单个参数的酉变换，将旋转项和逆旋转项同等对待。在么正变换表象中，我们发现变换哈密顿量中的多谐项对奇异平台现象的产生起着至关重要的作用.通过比较数值精确计算和其他几种方法的结果，我们发现，考虑多重谐波集体效应的解析方法得到的CHRW结果与数值计算结果符合得很好，这不仅反映了强驱动TLS动力学演化的一般趋势，而且还反映了有趣的平台现象.发展的CHRW方法揭示了两种平台模式：锯齿形平台和扶手椅平台。平台现象具有周期性图案，其频率是驱动频率的两倍，并且具有量化振荡，其数量具有一定的精确值。此外，在每个平台上产生快速振荡，这取决于TLS的相关驱动参数。我们的主要结果如下：（1）在大振幅振荡情况下，所有偶次谐波的集体效应有助于产生具有量子化振荡的锯齿形平台;（ii）在小振幅振荡情况下，强驱动下隧穿相干破坏的动力学通过包括奇谐效应而精确地展现，即，扶手椅平台具有两个阶梯结构，而不是完全破坏。
We present an interesting dynamical temporal localization of a strongly driven two-level system (TLS), a plateau with quantized oscillation, by an analytical and transparent method, the counter-rotating-hybridized rotating-wave (CHRW) method. This approach, which is based on unitary transformations with a single parameter, treats the rotating and counter-rotating terms on equal footing. In the unitarily transformed representation, we find that it is the multiple-harmonic terms shown in the transformed Hamiltonian that make a crucial contribution to the generation of the exotic plateau phenomenon. By comparing the results of the numerically exact calculation and several other methods, we show that the CHRW results obtained by analytical formalism involving the collective effects of multiple harmonics are in good agreement with the numerical results, which illustrates not only the general tendency of the dynamical evolution of strongly driven TLS, but also the interesting phenomena of plateaus. The developed CHRW method reveals two kinds of plateau patterns: zigzag plateau and armchair plateau. The plateau phenomenon has a periodical pattern whose frequency is double the driving frequency, and possesses quantized oscillations the number of which has a certain, precise value. Besides, fast oscillation is produced on every plateau which is determined by the relevant driving parameters of the TLS. Our main results are as follows: (i) in the large-amplitude oscillatory case, it turns out that the collective effects of all even harmonics contribute to the generation of zigzag plateau with quantized oscillation; (ii) in the small-amplitude oscillatory case, the dynamics of the coherent destruction of tunneling under strong driving is exactly exhibited by including the odd-harmonic effect, namely, armchair plateau possessing a two-stair structure rather than the complete destruction.
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DOI：
--
发表时间：
1998-03
期刊：
Dictionary of Geotourism
影响因子：
--
作者：
Klaus Völker
通讯作者：
Klaus Völker
与多个耗散储层耦合的强驱动两能级系统的共振荧光
影响因子：
3
作者：
Yan Yiying;Zhiguo Lv;Hang Zheng
通讯作者：
Hang Zheng
DOI：
10.1103/physreve.59.r4709
发表时间：
1999-05
期刊：
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
影响因子：
--
作者：
J. Stockburger
通讯作者：
J. Stockburger
通过周期性驱动控制海森堡自旋链中的状态转移
影响因子：
4.6
作者：
Shan HJ;Dai CM;Shen HZ;Yi XX
通讯作者：
Yi XX
双光子量子拉比模型的量子动力学
DOI：
10.1088/1751-8121/aa5537
发表时间：
2017-01
期刊：
Journal of Physics A: Math & Theoretical
影响因子：
--
作者：
Zhiguo Lü;Chunjian Zhao;Hang Zheng
通讯作者：
Hang Zheng