Thermal states of anyonic systems
Thermal states of anyonic systems
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DOI：
10.1016/j.nuclphysb.2009.11.009
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发表时间：
2008-12
期刊：
影响因子：
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通讯作者：
Sofyan Iblisdir;David Pérez-García;Miguel Aguado;J. Pachos
中科院分区：
文献类型：
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作者：
Sofyan Iblisdir;David Pérez-García;Miguel Aguado;J. Pachos
本文研究了二维拓扑格点模型的热性质。这项工作是相关的，以评估这些系统作为量子存储器的有用性。为了我们的目的，我们使用拓扑互信息Itopo作为“拓扑序参数”。对于阿贝尔模型，我们展示了Itop如何依赖于热拓扑电荷概率分布。更一般地说，我们提出了一个猜想，Itopocan（渐近）可以写为这个概率分布之间的Kullback-Leitner距离和诱导的量子尺寸的模型在手。我们还解释了为什么Itopois更适合我们的目的比更熟悉的纠缠熵Stopo。的标度律，编码的相互作用的体积和温度的影响，以及不同的限制程序，详细推导。一个非阿贝尔模型接下来进行了分析，发现类似的结果。最后，我们还考虑，在一个plaquette复曲面代码的情况下，环境模型引起的模拟的热效应的时间。
A study of the thermal properties of two-dimensional topological lattice models is presented. This work is relevant to assess the usefulness of these systems as a quantum memory. For our purposes, we use the topological mutual information Itopoas a “topological order parameter”. For Abelian models, we show how Itopodepends on the thermal topological charge probability distribution. More generally, we present a conjecture that Itopocan (asymptotically) be written as a Kullback–Leitner distance between this probability distribution and that induced by the quantum dimensions of the model at hand. We also explain why Itopois more suitable for our purposes than the more familiar entanglement entropy Stopo. A scaling law, encoding the interplay of volume and temperature effects, as well as different limit procedures, are derived in detail. A non-Abelian model is next analyzed and similar results are found. Finally, we also consider, in the case of a one-plaquette toric code, an environment model giving rise to a simulation of thermal effects in time.