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首页> 外文期刊>Physical review >Dynamical generation of Majorana edge correlations in a ramped Kitaev chain coupled to nonthermal dissipative channels
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Dynamical generation of Majorana edge correlations in a ramped Kitaev chain coupled to nonthermal dissipative channels

机译：动态耦合非热耗散通道的Kitaev斜链中Majorana边缘相关的动态生成

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摘要

We quantitatively study the out-of-equilibrium edge-Majorana correlation in a linearly ramped one-dimensional Kitaev chain of finite length in a dissipative environment. The chemical potential is dynamically ramped to drive the chain from its topologically trivial to nontrivial phase in the presence of couplings to nonthermal Markovian baths. We consider two distinctive situations: In the first situation, the bath is quasilocal in the site basis (local in quasiparticle basis) while in the other it is local. Following a Lindbladian approach, we compute the early time dynamics as well as the asymptotic behavior of the edge-Majorana correlation to probe the interplay between two competing timescales-one due to the coherent ramping while the other to the dissipative coupling. For the quasilocal bath, we establish that there is a steady generation of Majorana correlations in asymptotic time and the presence of an optimal ramping time which facilitates a quicker approach to the topological steady state. In the second scenario, we analyze the action of a local particle-loss type of bath in which we have established the existence of an optimal ramping time which results from the competing dynamics between the unitary ramp and the dissipative coupling. While the defect generated by the former decays exponentially with increasing ramp duration, the later scales linearly with the same. This linear scaling is further established through a perturbation theory formulated using the nondimensionalized coupling to the bath as a small parameter.
机译：我们在耗散环境中定量研究有限长度的线性倾斜一维Kitaev链中的不平衡边-Majorana相关性。在与非热马尔可夫浴耦合的情况下，化学势会动态增加，以将链从拓扑上的琐碎相转变为琐碎的相。我们考虑两种不同的情况：第一种情况，熔池在站点基础上是准局部的（在准粒子基础上局部），而在另一种情况下，它是局部的。遵循Lindbladian方法，我们计算了边缘-Majorana相关性的早期动态以及渐近行为，以探究两个相互竞争的时标之间的相互影响-一个是由于相干斜坡而另一个是耗散耦合。对于准局部浴，我们确定在渐近时间中稳定生成了Majorana相关性，并且存在最佳缓变时间，这有利于更快地接近拓扑稳态。在第二种情况下，我们分析了局部颗粒损失型熔池的作用，在该浴中，我们确定了最佳升温时间的存在，该时间是由整体升温和耗散耦合之间的竞争动力学产生的。前者产生的缺陷随着斜坡持续时间的增加呈指数衰减，而后者则以相同的比例线性扩展。该线性标度通过微扰理论进一步建立，该微扰理论使用与浴槽的无量纲耦合作为小参数制定。

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