Photon-mediated spin-mixing dynamics
Photon-mediated spin-mixing dynamics
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DOI：
10.1117/12.2515795
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发表时间：
2019-03
期刊：
影响因子：
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通讯作者：
Gregory S. Bentsen;E. Davis;Lukas Homeier;Avikar Periwal;Eric S. Cooper;K. Van Kirk;M. Schleier-Smith
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文献类型：
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作者：
Gregory S. Bentsen;E. Davis;Lukas Homeier;Avikar Periwal;Eric S. Cooper;K. Van Kirk;M. Schleier-Smith
我们分析了自旋为1的原子与高精细度光腔模耦合产生的自旋混合相互作用的动力学。我们表明，动力学可以理解的非紧李群SU（1，1）的生成元，并介绍了一组SU（1，1）的相干态下保持哈密顿演化。根据这些相干态，由此产生的动力学可以解释为单位圆盘上的经典运动。我们明确地计算了这种经典运动的轨迹，并表明这种运动等价于原子系综中的自旋压缩。原子系综和腔模式之间的非均匀耦合导致偏离这个简单的行为，我们引入一个玩具模型，捕捉这种非均匀性，并准确地解决它。
We analyze the dynamics of spin-mixing interactions generated by coupling spin-1 atoms to the mode of a high-finesse optical cavity. We show that the dynamics can be understood in terms of generators of the noncompact Lie group SU(1, 1) and introduce a set of SU(1, 1) coherent states which are preserved under Hamiltonian evolution. In terms of these coherent states the resulting dynamics may be interpreted as classical motion on the unit disk. We explicitly compute the trajectories of this classical motion and show that the motion is equivalent to spin-nematic squeezing in the atomic ensemble. Non-uniform coupling between the atomic ensemble and the cavity mode leads to departures from this simple behavior; we introduce a toy model that captures this non-uniformity and solve it exactly.