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One of the hallmarks of topological systems is the robust quantization of particle transport. It is the origin of the integer-valued quantum Hall conductivity and a potential tool for quantum information technology. Recent experiments on…

Mesoscale and Nanoscale Physics · Physics 2026-03-02 Julius Bohm , Hugo Gerlitz , Christina Jörg , Michael Fleischhauer

We elucidate the multi-particle transport of pair- and spin-tunnelings in strongly correlated interfaces. Not only usual single-particle tunneling but also interaction-induced multi-particle tunneling processes naturally arise from a…

Quantum Gases · Physics 2024-03-20 Hiroyuki Tajima , Daigo Oue , Mamoru Matsuo

Topological charge pumping represents an important quantum phenomenon that shows the fundamental connection to the topological properties of dynamical systems. Here, we introduce a pumping process in a spin-dependent double-well optical…

Quantum Gases · Physics 2020-04-29 Qianqian Chen , Jianming Cai , Shaoliang Zhang

We analyze a tight binding model of two coupled chains with strongly interacting fermions. Depending on the parameter $w$, the many body lowest energy band consists of either single particles or bound pairs. A topological quantum pump can…

Strongly Correlated Electrons · Physics 2019-02-20 Bart van Voorden , Kareljan Schoutens

The sharply quantized transport observed in the integer quantum Hall effect can be explained via a simple one-dimensional model with a time-periodic, adiabatically varying potential in which electronic charge is pumped from one side of the…

Optics · Physics 2021-08-05 Marius Jürgensen , Sebabrata Mukherjee , Mikael C. Rechtsman

We propose a realistic cold-atom quantum setting where nontrivial energy-band topology induces non-reciprocal pumping. This is an intriguing non-Hermitian phenomenon that illustrates how topology, when assisted with atom loss, can act as a…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Linhu Li , Ching Hua Lee , Jiangbin Gong

Robustness against perturbations lies at the heart of topological phenomena. If, however, a perturbation such as disorder becomes dominant, it may cause a topological phase transition between topologically non-trivial and trivial phases.…

Quantized dynamics is essential for natural processes and technological applications alike. The work of Thouless on quantized particle transport in slowly varying potentials (Thouless pumping) has played a key role in understanding that…

Quantum Physics · Physics 2020-08-13 Zlata Fedorova , Haixin Qiu , Stefan Linden , Johann Kroha

We show how to implement quantum transport, generate entangled state and achieve spatial entanglement distribution via topological Thouless pumping in one-dimensional disordered lattices. We introduce the on-site disorders to suppress the…

Quantum Physics · Physics 2020-05-20 Shi Hu , Yongguan Ke , Chaohong Lee

The engineering of artificial systems hosting topological excitations is at the heart of current condensed matter research. Most of these efforts focus on single-particle properties neglecting possible engineering routes via the…

Strongly Correlated Electrons · Physics 2021-03-23 Malte Rösner , Jose L. Lado

Nonlinear Thouless pumping has been established in periodic lattices; its counterpart in quasiperiodic lattices remains unexplored. Here, we show a nonlinear topological pumping of gap solitons in quasiperiodic lattices where the local…

Quantum Physics · Physics 2026-04-02 Xiao-Xiao Hu , Dun Zhao , Hong-Gang Luo

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 quantum interference emerges from the interplay between quantum mechanics and topology. We present evidence for two types of such interference phenomenon that can result from the quantum dynamics of initial topological states.…

Quantum Physics · Physics 2022-06-08 Zeng-Zhao Li , Juan Atalaya , K. Birgitta Whaley

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

Thouless charge pumps are quantum mechanical devices whose operation relies on topology. They provide the means for transporting quantum matter in space lattices with a single quantum precision. Contrasting space crystals that spontaneously…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 Tapio Simula , Niels Kjærgaard , Tilman Pfau

Thouless pump with quantized transports is topologically robust against small perturbations and disorders, while breaks down under sufficiently strong disorders. Here we propose counter-intuitive topological pumps induced by disorders in…

Quantum Gases · Physics 2025-05-29 Yi-Piao Wu , Ling-Zhi Tang , Guo-Qing Zhang , Dan-Wei Zhang

Thouless pumping is a fundamental phenomenon recognized as being widespread across various areas of physics, with optics holding a particularly prominent role. Here, we study this effect for optical solitons in a medium where the refractive…

Pattern Formation and Solitons · Physics 2025-07-09 Fangwei Ye , Aidar H. Ryazhapov , Yaroslav V. Kartashov , Vladimir V. Konotop

The existence of boundary states and their protection against symmetry-preserving perturbations are a hallmark feature of topological systems. While this concept originally emerged in the context of sin-gle-particle phenomena in…

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

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