非均匀对偶粒子链中的低能物理和有限尺寸效应。

IF 3.9 2区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES
Mohammad Mahdi Nasiri Fatmehsari, Mohammad-Sadegh Vaezi
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引用次数: 0

摘要

非均匀对称基塔耶夫链,包括交替的拓扑区域和正常区域,在其界面处拥有称为边零模式(ezm)的局部状态。这些ezm可以配对形成具有量子退相干弹性的量子位,这一特性有望扩展到更高的对称链,即对偶粒子链。然而,有限尺寸效应可能会影响这一理想图像。诊断这些效应首先需要彻底了解可能出现ezm的低能物理。以前的研究主要集中在均匀链上,从这些结果中推断出不均匀的情况。而最近的研究[Narozhny, Sci。报告7,1447(2017)]为两个拓扑区域被一个正常区域分隔的非均匀链提供了一个富有洞察力的分析解决方案,其复杂性限制了其对具有更多区域或更高对称性的链的适用性。在这里,我们提出了一种基于抽取最高能量项的新方法,促进了具有任意数量区域的[公式:见文本]链的可扩展分析。我们提供了[公式:见文本]和[公式:见文本]链的分析结果,并得到数值结果的支持,并确定了保持良好分离的ezm所需的临界长度。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Low-energy physics and finite-size effects in nonuniform parafermion chains.

Low-energy physics and finite-size effects in nonuniform parafermion chains.

Low-energy physics and finite-size effects in nonuniform parafermion chains.

Low-energy physics and finite-size effects in nonuniform parafermion chains.

The nonuniform [Formula: see text] symmetric Kitaev chain, comprising alternating topological and normal regions, hosts localized states known as edge-zero modes (EZMs) at its interfaces. These EZMs can pair to form qubits that are resilient to quantum decoherence, a feature expected to extend to higher symmetric chains, i.e., parafermion chains. However, finite-size effects may impact this ideal picture. Diagnosing these effects requires first a thorough understanding of the low-energy physics where EZMs may emerge. Previous studies have largely focused on uniform chains, with nonuniform cases inferred from these results. While recent work [Narozhny, Sci. Rep. 7, 1447 (2017)] provides an insightful analytical solution for a nonuniform [Formula: see text] chain with two topological regions separated by a normal one, its complexity limits its applicability to chains with more regions or higher symmetries. Here, we present a new approach based on decimating the highest-energy terms, facilitating the scalable analysis of [Formula: see text] chains with any number of regions. We provide analytical results for both [Formula: see text] and [Formula: see text] chains, supported by numerical findings, and identify the critical lengths necessary to preserve well-separated EZMs.

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来源期刊
Scientific Reports
Scientific Reports Natural Science Disciplines-
CiteScore
7.50
自引率
4.30%
发文量
19567
审稿时长
3.9 months
期刊介绍: We publish original research from all areas of the natural sciences, psychology, medicine and engineering. You can learn more about what we publish by browsing our specific scientific subject areas below or explore Scientific Reports by browsing all articles and collections. Scientific Reports has a 2-year impact factor: 4.380 (2021), and is the 6th most-cited journal in the world, with more than 540,000 citations in 2020 (Clarivate Analytics, 2021). •Engineering Engineering covers all aspects of engineering, technology, and applied science. It plays a crucial role in the development of technologies to address some of the world''s biggest challenges, helping to save lives and improve the way we live. •Physical sciences Physical sciences are those academic disciplines that aim to uncover the underlying laws of nature — often written in the language of mathematics. It is a collective term for areas of study including astronomy, chemistry, materials science and physics. •Earth and environmental sciences Earth and environmental sciences cover all aspects of Earth and planetary science and broadly encompass solid Earth processes, surface and atmospheric dynamics, Earth system history, climate and climate change, marine and freshwater systems, and ecology. It also considers the interactions between humans and these systems. •Biological sciences Biological sciences encompass all the divisions of natural sciences examining various aspects of vital processes. The concept includes anatomy, physiology, cell biology, biochemistry and biophysics, and covers all organisms from microorganisms, animals to plants. •Health sciences The health sciences study health, disease and healthcare. This field of study aims to develop knowledge, interventions and technology for use in healthcare to improve the treatment of patients.
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