双线性-双二次模型中的Haldane相动力学
Dynamics for the Haldane phase in the Bilinear-Biquadratic Model
AI总结：
本文研究BBM中线性淬火进入Haldane相的Kibble-Zurek物理，提出最小化末态缺陷的理想淬火协议，并揭示从Néel相到Haldane相的淬火路径可产生超过初末态基态的弦序。
摘要：
BBM（双线性-双二次模型）是研究自旋-1系统以及基于其底层哈密顿量设计量子模拟器的一个有前景的候选模型。其多种不同相中包含Haldane相等有价值和奇异的相。我们研究了线性淬火进入Haldane相的Kibble-Zurek物理。我们概述了理想的淬火协议，以最小化末态中的缺陷，同时利用通过单轴项或相互作用项实现的不同线性淬火协议。此外，我们研究了从拓扑非平凡相淬火到平凡相时弦序的命运。我们的研究表明，这在很大程度上取决于淬火所选择的路径；例如，我们发现从Néel相到Haldane相的淬火在中间淬火时间可以达到比其初态或末态基态对应物更大的弦序。
英文摘要：
The BBM is a promising candidate to study spin-one systems and to design quantum simulators based on its underlying Hamiltonian. The variety of different phases contains amongst other valuable and exotic phases the Haldane phase. We study the Kibble-Zurek physics of linear quenches into the Haldane phase. We outline ideal quench protocols to minimize defects in the final state while exploiting different linear quench protocols via the uniaxial or interaction term. Furthermore, we look at the fate of the string order when quenching from a topologically non-trivial phase to a trivial phase. Our studies show this depends significantly on the path chosen for quenching; for example, we discover quenches from \Neel{} to Haldane phase which reach a string order greater than their ground state counterparts for the initial or final state at intermediate quench times.
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