Kitaev Lindblad系统中的混合态量子自旋液体与动态任意子凝聚
Mixed-State Quantum Spin Liquids and Dynamical Anyon Condensations in Kitaev Lindbladians
AI总结：
该研究通过Lindblad主方程研究Kitaev自旋液体和环面码开放系统，发现退相干和耗散可导致任意子凝聚，实现从初始态到稳态自旋液体的拓扑转变，开辟了开放量子系统拓扑现象研究的新途径。
AI中文摘要：
量子自旋液体和任意子，曾经是凝聚态物理的研究课题，现在已在各种量子比特平台中得到实现，为研究多体量子纠缠态的基础物理提供了前所未有的机会。量子比特不可避免地暴露于环境效应，如退相干和耗散，这些效应被认为对多体纠缠是有害的。在这里，我们认为与普遍看法相反，退相干和耗散可以在量子自旋液体中产生新颖的拓扑现象。我们通过Lindblad主方程方法研究Kitaev自旋液体和环面码的开放量子系统。利用精确解和数值方法，我们展示了由退相干和耗散引起的任意子凝聚的动态发生，这导致了从初始态自旋液体到稳态自旋液体的拓扑转变。阐明了Lindblad动力学引起任意子凝聚转变的机制。我们还提供了在任意子凝聚图像中Kitaev自旋液体与环面码之间关系的见解。我们的工作表明开放量子系统是量子自旋液体和任意子拓扑现象的新场所。
英文摘要：
Quantum spin liquids and anyons, used to be subjects of condensed matter physics, now are realized in various platforms of qubits, offering unprecedented opportunities to investigate fundamental physics of many-body quantum entangled states. Qubits are inevitably exposed to environment effects such as decoherence and dissipation, which are believed to be detrimental to many-body entanglement. Here, we argue that unlike the common belief decoherence and dissipation can give rise to novel topological phenomena in quantum spin liquids. We study open quantum systems of the Kitaev spin liquid and the toric code via the Lindblad master equation approach. By using exact solutions and numerical approaches, we show the dynamical occurrence of anyon condensation by decoherence and dissipation, which results in a topological transition from the initial state spin liquid to the steady state spin liquid. The mechanism of the anyon condensation transition by the Lindblad dynamics is elucidated. We also provide an insight into the relationship between the Kitaev spin liquid and the toric code in the picture of anyon condensation. Our work suggests open quantum systems to be a new venue for topological phenomena of quantum spin liquids and anyons.
