量子同步涌现中的Liouvillian奇异点
Liouvillian exceptional points in the emergence of quantum synchronization
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中文总结 AI 辅助
本研究通过分析量子Liouvillian慢模的谱流，发现同步转变由受广义PT对称性保护的奇异点级联控制，并在少粒子量子区域提供可观测的实验特征。
中文摘要 AI 辅助
自持振荡器（如激光或极化激元凝聚体）之间的耦合在不同条件下会导致不同的稳态。弱耦合允许振荡器独立运行，具有不同的频率和不相关的相位，而更强的耦合则能产生同步。在经典或半经典理论中，这些稳态之间的转变对应于相空间吸引子拓扑的变化，并发生在广义奇异点处。我们研究了耦合激光或凝聚体的量子理论中的相应变化。我们展示了经典极限的不同稳态区域如何导致Liouvillian慢模的谱和本征矩阵的不同形式。通过追踪不同区域之间的谱流，我们表明同步转变由这些慢模中的奇异点级联控制，并受到广义PT对称性的保护。我们的结果揭示了量子Liouvillian的奇点如何控制不同的动力学区域，并在由量子效应主导的少粒子区域中为同步转变提供了保持良好定义的实验特征。
英文摘要
The coupling between self-sustained oscillators, such as lasers or polariton condensates, leads to different steady-states in different regimes. Weak coupling allows the oscillators to behave independently, with different frequencies and uncorrelated phases, while stronger coupling can produce synchronization. In classical or semiclassical theories transitions between these steady-states correspond to changes in the topology of the phase space attractors and occur at generalized exceptional points. We investigate the corresponding changes in a quantum theory of coupled lasers or condensates. We show how the different steady-state regimes of the classical limit give rise to distinct forms for the spectra and eigenmatrices of the slow modes of the Liouvillian. By following the spectral flow between the different regimes we show that the synchronization transition is controlled by cascades of exceptional points in these slow modes, protected by a generalized PT symmetry. Our results show how singularities of the quantum Liouvillian control the different dynamical regimes, and give rise to experimental signatures of the synchronization transition which remain well-defined in the few-particle regime dominated by quantum effects.
发表机构
- School of Physics, Trinity College Dublin（都柏林三一学院物理学院）
- Trinity Quantum Alliance（三一量子联盟）
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