Topological pumping in an inhomogeneous Aubry–André model

IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY
Muhammad Sajid , Niaz Ali Khan , Muzamil Shah
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引用次数: 0

Abstract

The Aubry–André model is a fundamental theoretical model that exhibits interesting topological features. In this paper, we examine topologically protected boundary states in the inhomogeneous off-diagonal Aubry–André model. In contrast to the homogeneous case, the inhomogeneity triggers boundary states at phase boundaries that separate two distinct non-trivial topological domains. Remarkably, the topological character of the boundary states is predicted through topological pumping, where a boundary state is transferred from one boundary across the bulk region to the other by adiabatically tuning the pump parameter. Moreover, the role of the off-diagonal modulation strength (λ) on the transfer efficiency of the topological pumping is addressed. To support our results, we investigate the time evolution of a continuous-time quantum walk and show that its spread rate and λ are inversely related. Our work provides a new avenue to harness topological features of the Aubry–André model, where topological pumping can be used for robust quantum transport.

Abstract Image

非均质奥布里-安德烈模型中的拓扑抽水
奥布里-安德烈(Aubry-André)模型是一个基本理论模型,具有有趣的拓扑特征。本文研究了非均质非对角奥布里-安德烈模型中的拓扑保护边界态。与同质情况不同的是,不均匀性会在相边界引发边界态,将两个不同的非三维拓扑域分开。值得注意的是,边界态的拓扑特性是通过拓扑抽运来预测的,即通过绝热调整抽运参数,将边界态从一个边界穿过体区域转移到另一个边界。此外,我们还探讨了非对角线调制强度(λ)对拓扑泵浦传输效率的作用。为了支持我们的研究结果,我们研究了连续时间量子行走的时间演化,并证明其扩散率和λ成反比关系。我们的工作为利用奥布里-安德烈模型的拓扑特征提供了一条新途径,拓扑抽运可用于稳健的量子传输。
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来源期刊
Chinese Journal of Physics
Chinese Journal of Physics 物理-物理:综合
CiteScore
8.50
自引率
10.00%
发文量
361
审稿时长
44 days
期刊介绍: The Chinese Journal of Physics publishes important advances in various branches in physics, including statistical and biophysical physics, condensed matter physics, atomic/molecular physics, optics, particle physics and nuclear physics. The editors welcome manuscripts on: -General Physics: Statistical and Quantum Mechanics, etc.- Gravitation and Astrophysics- Elementary Particles and Fields- Nuclear Physics- Atomic, Molecular, and Optical Physics- Quantum Information and Quantum Computation- Fluid Dynamics, Nonlinear Dynamics, Chaos, and Complex Networks- Plasma and Beam Physics- Condensed Matter: Structure, etc.- Condensed Matter: Electronic Properties, etc.- Polymer, Soft Matter, Biological, and Interdisciplinary Physics. CJP publishes regular research papers, feature articles and review papers.
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