论文标题

Floquet量规泵作为光谱退化的传感器,受对称或拓扑保护

Floquet Gauge Pumps as Sensors for Spectral Degeneracies Protected by Symmetry or Topology

论文作者

Kumar, Abhishek, Ortiz, Gerardo, Richerme, Philip, Seradjeh, Babak

论文摘要

我们介绍了Floquet Gauge泵的概念,该泵介绍了动态工程的浮雕哈密顿量,以揭示相互作用系统中基态的固有变性。我们在具有定期驱动的耦合和横向场的一维XY模型中演示了这一概念。在高频限制中,我们获得了由静态XY和动态生成的Dzyaloshinsky-Moriya相互作用(DMI)项组成的浮动哈密顿量。动态生成的磁化电流取决于复杂耦合项的阶段,而XY相互作用作为真实和DMI作为假想部分。随着这些阶段的循环,电流揭示了区分有序相和无序相的基态变性。我们讨论实现相互作用捕获离子的合成量子自旋系统中的浮球量泵所需的实验要求。

We introduce the concept of a Floquet gauge pump whereby a dynamically engineered Floquet Hamiltonian is employed to reveal the inherent degeneracy of the ground state in interacting systems. We demonstrate this concept in a one-dimensional XY model with periodically driven couplings and transverse field. In the high-frequency limit, we obtain the Floquet Hamiltonian consisting of the static XY and dynamically generated Dzyaloshinsky-Moriya interaction (DMI) terms. The dynamically generated magnetization current depends on the phases of complex coupling terms, with the XY interaction as the real and DMI as the imaginary part. As these phases are cycled, the current reveals the ground-state degeneracies that distinguish the ordered and disordered phases. We discuss experimental requirements needed to realize the Floquet gauge pump in a synthetic quantum spin system of interacting trapped ions.

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