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arXiv 0907.0539quant-ph
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一维Jaynes-Cummings-Hubbard Hamilton量的时间演化

Time evolution of the one-dimensional Jaynes-Cummings-Hubbard Hamiltonian

M. I. Makin, Jared H. Cole, Charles D. Hill, Andrew D. Greentree, Lloyd C. L. Hollenberg

摘要:

Jaynes-Cummings-Hubbard(JCH)系统描述了通过倏逝波耦合连接的单模光子腔的网络。每个腔包含一个单一的两个层次的系统,可以调谐谐振腔。在这里,我们探讨的行为,单激发(其中激发可以是光子或原子)的线性JCH系统,它描述了耦合腔波导。我们使用直接,分析对角化的哈密顿研究腔间耦合是均匀的或沿链抛物线变化的情况下。这两个激发位于一个单一的腔,以及一个激发作为高斯脉冲分布在许多腔,作为初始状态进行了研究。我们预测这个系统在时域中的不寻常的行为,包括慢于预期的传播的激励,也分裂的激励成两个不同的脉冲,以不同的速度旅行。在一定的限制下,我们表明,JCH系统模仿两个海森堡自旋链。

英文摘要:

The Jaynes-Cummings-Hubbard (JCH) system describes a network of single-mode photonic cavities connected via evanescent coupling. Each cavity contains a single two level system which can be tuned in resonance with the cavity. Here we explore the behavior of single excitations (where an excitation can be either photonic or atomic) in the linear JCH system, which describes a coupled cavity waveguide. We use direct, analytic diagonalization of the Hamiltonian to study cases where inter-cavity coupling is either uniform or varies parabolically along the chain. Both excitations located in a single cavity, as well as one excitation as a Gaussian pulse spread over many cavities, are investigated as initial states. We predict unusual behavior of this system in the time domain, including slower than expected propagation of the excitation, and also splitting of the excitation into two distinct pulses, which travel at distinct speeds. In certain limits, we show that the JCH system mimics two Heisenberg spin chains.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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