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arXiv 1612.02595cond-mat.quant-gas
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偶极耦合二能级系统的稳定集体动力学

Stable Collective Dynamics of Two-Level Systems Coupled by Dipole Interactions

C. D. Parmee, N. R. Cooper

摘要:

我们研究了一组由偶极相互作用耦合的二能级系统在共振外部拉比驱动下的动力学行为。两个级别的系统最初准备在一个连贯的产品状态,我们问如何驱动器所造成的非平衡条件影响这种连贯性。我们研究了经典近似下耦合二能级系统的完全非线性动力学,通过数值分析运动方程,并确定经典Floquet理论中集体相干态的稳定性。我们建立的行为分析在高拉比耦合限制,采用马格纳斯展开和自旋波分析。我们的研究结果表明,通常情况下,偶极之间的相互作用的两个能级系统导致的不稳定性,导致集体拉比振荡的故障。然而,我们确定参数制度的两级系统进行集体相干拉比振荡,即使在偶极相互作用的存在下。

英文摘要:

We study the dynamics of a set of two-level systems coupled by dipolar interactions under a resonant external Rabi drive. The two-level systems are prepared initially in a coherent product state, and we ask how the non-equilibrium conditions caused by the drive affect this coherence. We study the full non-linear dynamics of the coupled two-level systems within a classical approximation by analysing numerically the equations of motion and determining the stability of the collective coherent state within classical Floquet theory. We establish the behaviour analytically in the high Rabi coupling limit by employing a Magnus expansion and spin wave analysis. Our results show that, typically, the dipole interactions between the two-level systems lead to instabilities that cause a breakdown of the collective Rabi oscillations. However, we identify parameter regimes for which the two-level systems undergo collective coherent Rabi oscillations even in the presence of the dipole interactions.

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