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Photonic systems provide a highly tunable platform for emulating quantum Hall physics. This tunability enables probing of the interplay between strong disorder and robust topological transport that remains difficult to access in solid-state…

It has recently been theoretically predicted and experimentally observed that a soliton resulting from nonlinearity can be pumped across an integer or fractional number of unit cells as a system parameter is slowly varied over a pump…

Pattern Formation and Solitons · Physics 2026-01-21 Yu-Liang Tao , Jiong-Hao Wang , Yong Xu

We investigate topological charge pumping in a system of interacting bosons in the tight-binding limit, described by the Rice-Mele model. An appropriate topological invariant for the many-body case is the change of polarization per pump…

Quantum Gases · Physics 2019-01-02 A. L. C. Hayward , C. Schweizer , M. Lohse , M. Aidelsburger , F. Heidrich-Meisner

The ability to pump quantised amounts of charge is one of the hallmarks of topological materials. An archetypical example is Laughlin's gauge argument for transporting an integer number of electrons between the edges of a quantum Hall…

Strongly Correlated Electrons · Physics 2020-05-13 Mariya A. Lizunova , Florian Schreck , Cristiane Morais Smith , Jasper van Wezel

We study the quantized charge pumping of higher-order topological insulators (HOTIs) with edge-corner correspondences based on the combination of the rotation of in-plane magnetic field and the quantum spin Hall effect. A picture of a…

Mesoscale and Nanoscale Physics · Physics 2022-10-19 Bing-Lan Wu , Ai-Min Guo , Zhi-Qiang Zhang , Hua Jiang

The Schroedinger equation with a potential periodically varying in time is used to model adiabatic quantum pumps. The systems considered may be either infinitely extended and gapped or finite and connected to gapless leads. Correspondingly,…

Mathematical Physics · Physics 2015-05-13 G. Braeunlich , G. M. Graf , G. Ortelli

Particle-particle interaction provides a new degree of freedom to induce novel topological phenomena. Here, we propose to use spatiotemporal modulation of interaction to realize topological pumping without single-particle counterpart.…

Mesoscale and Nanoscale Physics · Physics 2024-10-28 Boning Huang , Yongguan Ke , Wenjie Liu , Chaohong Lee

Recent progress in synthetic lattice systems has opened the door to novel explorations of topological matter. In particular, photonic devices and ultracold matter waves offer the unique possibility of studying the rich interplay between…

Mesoscale and Nanoscale Physics · Physics 2022-01-05 Nader Mostaan , Fabian Grusdt , Nathan Goldman

The adiabatic topological pumping is proposed by periodically modulating a semiconductor nanowire double-quantum-dot chain. We demonstrate that the quantized charge transport can be achieved by a nontrivial modulation of the quantum-dot…

Mesoscale and Nanoscale Physics · Physics 2021-11-23 Zhi-Hai Liu , H. Q. Xu

Recent work [M. H. Kolodrubetz et al, PRL 120, 150601] has demonstrated that periodically driven one-dimensional fermionic systems can support quantized energy pumping resulting from an adiabatic modulation of a second parameter. In this…

Mesoscale and Nanoscale Physics · Physics 2021-10-19 Frederik Nathan , Rongchun Ge , Snir Gazit , Mark S. Rudner , Michael Kolodrubetz

Quantum Electrodynamics can be formulated as the theory of an antisymmetric tensor gauge field. In this formulation the topological current of this field appears as an additional source for the electromagnetic field. The topological charge…

High Energy Physics - Theory · Physics 2007-05-23 E. C. Marino

The discovery of the quantization of particle transport in adiabatic pumping cycles of periodic structures by Thouless [Phys. Rev. B 27, 6083 (1983)] linked the Chern number, a topological invariant characterizing the quantum Hall effect in…

Mesoscale and Nanoscale Physics · Physics 2022-05-24 Wladimir A. Benalcazar , Jiho Noh , Mohan Wang , Sheng Huang , Kevin P. Chen , Mikael C. Rechtsman

Quantized charge pumping is a robust adiabatic phenomenon uniquely existing in topologically nontrivial systems. Such topological pumping not only brings fundamental insights to the evolution of states under the protection of topology but…

Applied Physics · Physics 2021-02-10 Ze-Guo Chen , Weiyuan Tang , Ruo-Yang Zhang , Guancong Ma

We study topological charge pumping in one-dimensional quasiperiodic systems. Since these systems lack periodicity, we cannot use the conventional approach based on the topological Chern number defined in the momentum space. Here, we…

Mesoscale and Nanoscale Physics · Physics 2021-10-29 Mao Yoshii , Sota Kitamura , Takahiro Morimoto

In Thouless pump, the charge transport in a one-dimensional insulator over an adiabatic cycle is topologically quantized. For nonequilibrium initial states, however, interband coherence will induce a previously unknown contribution to…

Mesoscale and Nanoscale Physics · Physics 2020-05-13 Gudapati Naresh Raghava , Longwen Zhou , Jiangbin Gong

Topological charge pumping occurs in the adiabatic limit, and the non-adiabatic effect due to finite ramping velocity reduces the pumping efficiency and leads to deviation from quantized charge pumping. In this work, we discuss the relation…

Mesoscale and Nanoscale Physics · Physics 2024-02-09 Fan Yang , Xingyu Li , Hui Zhai

Thouless pumping, the quantized transport of particles in a cyclic adiabatic evolution, faces a challenge: slow driving may exceed the coherent time, while fast driving may break quantization. To address this dilemma, we propose to speed up…

Quantum Physics · Physics 2024-02-08 Wenjie Liu , Yongguan Ke , Chaohong Lee

The nonlinear Thouless pumping is an exciting frontier of topological physics. While recent works have revealed the quantized motion of solitons in Thouless pumps, the interplay between the topology, nonlinearity and disorder remains…

Quantum Gases · Physics 2024-07-19 Xuzhen Cao , Chunyu Jia , Ying Hu , Zhaoxin Liang

We study one-dimensional topological models with dimerization and trimerization and show that these models can be generated using interaction or optical superlattice. The topological properties of these models are demonstrated by the…

Strongly Correlated Electrons · Physics 2015-06-16 Huaiming Guo

A spin strongly driven by two harmonic incommensurate drives can pump energy from one drive to the other at a quantized average rate, in close analogy with the quantum Hall effect. The pumping rate is a non-zero integer in the topological…

Mesoscale and Nanoscale Physics · Physics 2020-09-02 Philip J. D. Crowley , Ivar Martin , Anushya Chandran