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Recent explorations of quantized solitons transport in optical waveguides have thrust nonlinear topological pumping into the spotlight. In this work, we introduce a unified topological invariant applicable across both weakly and strongly…

Thouless pumping is a paradigmatic example of topologically protected, directed transport in linear systems. Recent extensions to nonlinear pumps often overlook the need to reassess the conventional framework of linear topology. In this…

Mesoscale and Nanoscale Physics · Physics 2025-08-19 Markus Bestler , Oded Zilberberg

Thouless pumping enables the transport of particles in a one-dimensional periodic potential if the potential is slowly and periodically modulated in time. The change in the position of particles after each modulation period is quantized and…

Quantum Gases · Physics 2024-12-23 Ali Emami Kopaei , Krzysztof Giergiel , Krzysztof Sacha

Thouless pumping provides one of the simplest manifestations of topology in quantum systems, and has attracted a lot of recent interest, both theoretically and experimentally. Since the seminal works by Thouless and Niu in 1983 and 1984, it…

Quantum Gases · Physics 2023-02-13 Roberta Citro , Monika Aidelsburger

One-dimensional topological pumping of matter waves in two overlaid optical lattices moving with respect to each other is considered in the presence of attractive nonlinearity. It is shown that there exists a threshold nonlinearity level…

Pattern Formation and Solitons · Physics 2022-04-27 Qidong Fu , Peng Wang , Yaroslav V. Kartashov , Vladimir V. Konotop , Fangwei Ye

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

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

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.…

Thouless pumping is an emblematic manifestation of topology in physics, referring to the ability to induce a quantized transport of charge across a system by simply varying one of its parameters periodically in time. The original concept of…

Mesoscale and Nanoscale Physics · Physics 2025-03-31 S. Ravets , N. Pernet , N. Mostaan , N. Goldman , J. Bloch

We report on the topological pumping of quadratic optical solitons, observed through their quantized transport in a dynamic optical potential. A distinctive feature of this system is that the two fields with different frequencies, which…

Optics · Physics 2025-02-27 Yaroslav V. Kartashov , Fangwei Ye , Vladimir V. Konotop

We study a Thouless pump realized with an elastically \textit{deformable quantum dot} whose center of mass follows a non-linear stochastic dynamics. The interplay of noise, non-linear effects, dissipation and interaction with an external…

Mesoscale and Nanoscale Physics · Physics 2015-11-26 C. A. Perroni , F. Romeo , A. Nocera , V. Marigliano Ramaglia , R. Citro , V. Cataudella

We show how to implement topological or Thouless pumping of interacting photons in one dimensional nonlinear resonator arrays, by simply modulating the frequency of the resonators periodically in space and time. The interplay between…

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

Topological phases are robust against weak perturbations, but break down when disorder becomes sufficiently strong. However, moderate disorder can also induce topologically nontrivial phases. Thouless pumping, as a (1+1)D counterpart of the…

Nonlinear Thouless pumps for bosons exhibit quantized pumping via soliton motion, despite the lack of a meaningful notion of filled bands. However, the theoretical underpinning of this quantization, as well as its relationship to the Chern…

Mesoscale and Nanoscale Physics · Physics 2022-03-22 Marius Jürgensen , Mikael C. Rechtsman

The interplay between topology and soliton is a central topic in nonlinear topological physics. So far, most studies have been confined to conservative settings. Here, we explore Thouless pumping of dissipative temporal solitons in a…

Quantum Gases · Physics 2024-09-06 Xuzhen Cao , Chunyu Jia , Ying Hu , Zhaoxin Liang

Recent experiments with ultracold quantum gases have successfully realized integer-quantized topological charge pumping in optical lattices. Motivated by this progress, we study the effects of static disorder on topological Thouless charge…

Quantum Gases · Physics 2021-05-03 A. L. C. Hayward , E. Bertok , U. Schneider , F. Heidrich-Meisner

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

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

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