论文标题
在驱动的旋转玻色子模型中，受拓扑保护的量子发电机效应
A topologically protected quantum dynamo effect in a driven spin-boson model
论文作者
论文摘要
我们描述了驱动系统中的量子发电机效应，该系统与谐波振荡器相连，该振荡器描述了腔模式或形成欧姆玻色子浴的模式的集合。当哈密顿系统的时间变化时，这会诱导具有与驱动速度具有谐振频率的骨气模式中的动态场。该领域以一种让人联想到法拉第归纳定律的方式反对外部驾驶场的变化，证明了“量子发电机效应”一词是合理的。对于定期驱动的自旋 - $ \ frac {1} {2} $在Bloch Sphere上，我们表明，通过将旋转从北极到南极进行的工作可以有效地转化为共振的波斯型模式的连贯位移，因此效果与工作对应于工作对应的能量，可以将其解释为浴的能量，并可以将其解释为浴室的工作。我们研究了这种效果，其性能和局限性详细介绍了驱动的自旋 - $ \ frac {1} {2} $，在存在径向磁场的情况下，通过在球体核心中形成有效电荷来解决与拓扑系统的关系。我们表明，发电机效应与该自旋的动态测量拓扑直接相关 - $ \ frac {1} {2} $，因此在绝热极限中提供了一种受拓扑保护的方法，可以将驱动工作转换为储层中的连贯场。量子发电机模型在介观和原子系统中可实现。
We describe a quantum dynamo effect in a driven system coupled to a harmonic oscillator describing a cavity mode or to a collection of modes forming an Ohmic bosonic bath. When the system Hamiltonian changes in time, this induces a dynamical field in the bosonic modes having resonant frequencies with the driving velocity. This field opposes the change of the external driving field in a way reminiscent of Faraday's law of induction, justifying the term 'quantum dynamo effect'. For the specific situation of a periodically driven spin-$\frac{1}{2}$ on the Bloch sphere, we show that the work done by rolling the spin from north to south pole can efficiently be converted into a coherent displacement of the resonant bosonic modes, the effect thus corresponds to a work-to-work conversion and allows to interpret this transmitted energy into the bath as work. We study this effect, its performance and limitations in detail for a driven spin-$\frac{1}{2}$ in the presence of a radial magnetic field addressing a relation with topological systems through the formation of an effective charge in the core of the sphere. We show that the dynamo effect is directly related to the dynamically measured topology of this spin-$\frac{1}{2}$ and thus in the adiabatic limit provides a topologically protected method to convert driving work into a coherent field in the reservoir. The quantum dynamo model is realizable in mesoscopic and atomic systems.
