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arXiv 1407.7446quant-ph
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超强耦合振子中$A^2$项的特征

Signatures of the $A^2$ term in ultrastrongly-coupled oscillators

Tommaso Tufarelli, K. R. McEnery, S. A. Maier, M. S. Kim

摘要:

研究了玻色子物质激发与单模腔场通过电偶极子耦合的情况。相互作用模型中包括反向旋转项和$A^2$项,${\mathbf A}$是腔场的矢量势。在超强耦合区,裸模的真空不再是哈密顿量的基态,而是包含非零的极化激元,即系统的真简正模。当模型参数满足K-R求和规则时,我们发现两个极化激元总是等布居的。我们展示了如何在淬火实验中测试这种预测,通过快速切换耦合和分析腔体发出的辐射。还提供了一个细化的微观最小耦合哈密顿的基础上的模型,其后果对我们的结果进行了分析。

英文摘要:

We study a bosonic matter excitation coupled to a single-mode cavity field via electric dipole. Counter-rotating and $A^2$ terms are included in the interaction model, ${\mathbf A}$ being the vector potential of the cavity field. In the ultrastrong coupling regime the vacuum of the bare modes is no longer the ground state of the Hamiltonian and contains a nonzero population of polaritons, the true normal modes of the system. If the parameters of the model satisfy the Thomas-Reiche-Kuhn sum rule, we find that the two polaritons are always equally populated. We show how this prediction could be tested in a quenching experiment, by rapidly switching on the coupling and analyzing the radiation emitted by the cavity. A refinement of the model based on a microscopic minimal coupling Hamiltonian is also provided, and its consequences on our results are characterized analytically.

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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