Integrable Quantum Dynamics of Open Collective Spin Models.
Integrable Quantum Dynamics of Open Collective Spin Models.
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DOI：
10.1103/physrevlett.122.010401
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发表时间：
2018-07
影响因子：
8.6
通讯作者：
P. Ribeiro;T. Prosen
中科院分区：
文献类型：
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作者：
P. Ribeiro;T. Prosen
我们考虑与马尔可夫自旋极化槽接触的集体量子自旋s。利用一个守恒的超算子电荷，构造了一个刘维廉的微分表示，以找到它的精确谱和本征模。利用半经典量化条件研究了该模型在大s极限下的谱密度，并证明了谱密度在复平面上沿某些曲线可能发散。我们利用我们的精确解来表征稳态特性，特别是在非极化环境中出现的不连续相变，并确定相干和种群的衰减率。我们的方法提供了一种系统的方法来寻找具有非平凡稳态的可积Liouvillian算子，并提供了一种研究其谱性质和特征模态的方法。
We consider a collective quantum spin s in contact with Markovian spin-polarized baths. Using a conserved superoperator charge, a differential representation of the Liouvillian is constructed to find its exact spectrum and eigenmodes. We study the spectral properties of the model in the large-s limit using a semiclassical quantization condition and show that the spectral density may diverge along certain curves in the complex plane. We exploit our exact solution to characterize steady-state properties, in particular at the discontinuous phase transition that arises for unpolarized environments, and to determine the decay rates of coherences and populations. Our approach provides a systematic way of finding integrable Liouvillian operators with nontrivial steady states as well as a way to study their spectral properties and eigenmodes.