Role of Coherence and Degeneracies in Quantum Synchronisation
Role of Coherence and Degeneracies in Quantum Synchronisation
复制标题
相干性和简并性在量子同步中的作用
DOI：
--
复制
发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Sai Vinjanampathy
中科院分区：
文献类型：
--
作者：
Parvinder Solanki;Noufal Jaseem;Michal Hajduvsek;Sai Vinjanampathy
量子系统中同步研究的进展主要是由特定的例子驱动的，这些例子导致了几个频率夹带和相互同步的例子。在这里，我们研究量子同步利用刘维尔空间微扰理论。我们开始澄清的作用，中心，对称性和振荡相干的背景下，量子同步。然后，我们分析的刘维超算子产生的量子系统的动力学的本征谱，并确定同步产生的条件。我们应用我们的框架来推导量子系统中能量守恒、简并和同步之间的强大关系。最后，我们通过分析两个相互耦合的热机和同步和热力学量之间的密切关系来证明我们的方法。
Progress on the study of synchronisation in quantum systems has been largely driven by specific examples which resulted in several examples of frequency entrainment as well as mutual synchronisation. Here we study quantum synchronisation by utilising Liouville space perturbation theory. We begin by clarifying the role of centers, symmetries and oscillating coherences in the context of quantum synchronisation. We then analyse the eigenspectrum of the Liouville superoperator generating the dynamics of the quantum system and determine the conditions under which synchronisation arises. We apply our framework to derive a powerful relationship between energy conservation, degeneracies and synchronisation in quantum systems. Finally, we demonstrate our approach by analysing two mutually coupled thermal machines and the close relationship between synchronisation and thermodynamic quantities.