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More than 30 years ago, Thouless introduced the concept of a topological charge pump that would enable the robust transport of charge through an adiabatic cyclic evolution of the underlying Hamiltonian. In contrast to classical transport,…

Adiabatic quantum pumping in one-dimensional lattices is extended by adding a tilted potential to probe better topologically nontrivial bands. This extension leads to almost perfectly quantized pumping for an arbitrary initial state…

Quantum Physics · Physics 2020-08-05 Yongguan Ke , Shi Hu , Bo Zhu , Jiangbin Gong , Yuri Kivshar , Chaohong Lee

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

Nonlinear lattice models can support "discrete breather" excitations that stay localized in space for all time. By contrast, the localized Wannier states of linear lattice models are dynamically unstable. Nevertheless, symmetric and…

Mesoscale and Nanoscale Physics · Physics 2025-03-04 Frank Schindler , Vir B. Bulchandani , Wladimir A. Benalcazar

Non-Abelian gauge symmetries are cornerstones of modern theoretical physics, underlying fundamental interactions and the geometric structure of quantum mechanics. However, their potential to control quantum coherence, entangle- ment, and…

Mesoscale and Nanoscale Physics · Physics 2025-10-21 Carlo Danieli , Laura Pilozzi , Claudio Conti , Valentina Brosco

In nonlinear topological physics, Thouless pumping of nonlinear excitations is a central topic, often illustrated by scalar solitons. Vector solitons, with the additional spin degree of freedom, exhibit phenomena absent in scalar solitons…

Quantum Gases · Physics 2025-03-04 Xuzhen Cao , Chunyu Jia , Ying Hu , Zhaoxin Liang

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 investigate the non-Abelian Thouless pumping in a disorder tunable Lieb chain with degenerate flat bands. The results reveal that quasiperiodic disorder will cause a topological phase transition from the trivial (without non-Abelian…

Disordered Systems and Neural Networks · Physics 2024-04-30 Sen Huang , Yan-Qing Zhu , Zhi Li

Thouless pumping is a mechanism to perform topologically protected transport of particles by adiabatically modulating the Hamiltonian. The transported current is a topological invariant that is intimately related to the integer quantum Hall…

Quantum Physics · Physics 2023-01-06 V. M. Bastidas

Adiabatic cyclic modulation of a one-dimensional periodic potential will result in quantized charge transport, which is termed the Thouless pump. In contrast to the original Thouless pump restricted by the topology of the energy band, here…

Continuous and quantized transports are profoundly different. The latter is determined by the global rather than local properties of a system, it exhibits unique topological features, and its ubiquitous nature causes its occurrence in many…

A Thouless pump can be regarded as a dynamical version of the integer quantum Hall effect. In a finite-size configuration, such topological pump displays edge modes that emerge dynamically from one bulk-band and dive into the opposite…

Mesoscale and Nanoscale Physics · Physics 2020-11-24 Wenting Cheng , Emil Prodan , Camelia Prodan

Topological quantum pumps are topologically equivalent to the quantum Hall state: In these systems, the charge pumped during each pumping cycle is quantized and coincides with the Chern invariant. However, differently from quantum Hall…

Quantum Gases · Physics 2017-11-22 Pasquale Marra , Roberta Citro

Topology can imbue lattice systems with special properties, notably the presence of robust eigenstates living at their boundary. Through dimensional reduction, the robust bulk band topology of, e.g., the integer quantum Hall system can be…

We investigate the effect of inter-particle interaction on the quantized Thouless pump in the bosonic quasiperiodic Aubry-Andr{\'e} model and find that the quantization of the pumped charge breaks down already for weak interactions.…

Quantum Gases · Physics 2026-01-27 Suman Mondal , Emmanuel Gottlob , Fabian Heidrich-Meisner , Ulrich Schneider

Quantized Thouless pumps in periodic systems, set by Chern numbers or Wannier-center winding, is by now fairly well established, whereas its quasi-periodic extensions still require further clarification. Here, we develop a general…

Strongly Correlated Electrons · Physics 2026-05-07 Zixun Xu , Yuan Yao

Adiabatic and periodic variation of the lattice parameters can make it possible to transport charge through a system even without net external electric or magnetic fields, known as Thouless charge pumping. The amount of charge pumped in a…

Quantum Gases · Physics 2024-01-17 Suman Mondal , Eric Bertok , Fabian Heidrich-Meisner

A topological pump enables robust transport of quantized particles when the system parameters are varied in a cyclic process. In previous studies, topological pump was achieved inhomogeneous systems guaranteed by a topological invariant of…

Mesoscale and Nanoscale Physics · Physics 2021-04-08 Bi-Ye Xie , Oubo You , Shuang Zhang

Nonadiabatic Thouless pumping of electrons is studied in the framework of topological Floquet engineering, particularly focused on how changes to chemical moieties can control the emergence of the Floquet topological phase. We employ…

Chemical Physics · Physics 2025-06-17 Ruiyi Zhou , Yosuke Kanai

A topological charge pump [1] transfers charge in a quantized fashion. The quantization is stable against the detailed form of the pumping protocols and external noises and shares the same topological origin as the quantum Hall effect. We…

Quantum Gases · Physics 2013-07-11 Lei Wang , Matthias Troyer , Xi Dai