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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

We introduce a classification scheme for symmetry protected topological phases applicable to stationary states of open systems based on a generalization of the many-body polarization. The polarization can be used to probe the topological…

Quantum Gases · Physics 2016-11-15 Dominik Linzner , Lukas Wawer , Fabian Grusdt , Michael Fleischhauer

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

Thouless pumping, not only achieving quantized transport but also immune to moderate disorder, has attracted growing attention in both experiments and theories. Here, we explore how particle-particle interactions affect topological…

Quantum Physics · Physics 2022-08-18 Wenjie Liu , Shi Hu , Li Zhang , Yongguan Ke , Chaohong Lee

We study topological charge pumping (TCP) in the Rice-Mele (RM) model with irreciprocal hopping. The non-Hermiticity gives rise to interesting pumping physics, owing to the presence of skin effect and exceptional points. In the static 1D RM…

Mesoscale and Nanoscale Physics · Physics 2025-02-24 Abhishek Kumar , Sarbajit Mazumdar , S D Mahanti , Kush Saha

Recent foundational studies have established the bulk-edge correspondence for nonlinear eigenvalue problems using auxiliary eigenvalues $\hat{H}\Psi=\omega S(\omega)\Psi$, spanning both linear [T. Isobe et al., Phys. Rev. Lett. 132, 126601…

Mesoscale and Nanoscale Physics · Physics 2025-10-28 Chenxi Bai , Zhaoxin Liang

We investigate the formation of quasisteady states in one-dimensional pumps of interacting fermions at non-integer filling fraction, in the regime where the driving frequency and interaction strength are small compared to the instantaneous…

Quantum Gases · Physics 2022-05-24 Raffael Gawatz , Ajit C. Balram , Erez Berg , Netanel H. Lindner , Mark S. Rudner

Quantization of particle transport lies at the heart of topological physics. In Thouless pumps - dimensionally reduced versions of the integer quantum Hall effect - quantization is dictated by the integer winding of single-band Wannier…

Strongly Correlated Electrons · Physics 2025-08-28 Marius Jürgensen , Jacob Steiner , Gil Refael , Mikael C. Rechtsman

Thouless' quantization of adiabatic particle transport permits to associate an integer topological charge with each atom of an electronically gapped material. If these charges are additive and independent of atomic positions, they provide a…

Materials Science · Physics 2023-05-18 Paolo Pegolo , Federico Grasselli , Stefano Baroni

Thouless pump is a one-dimensional dynamic topological effect that stems from the same topological mechanism as the renowned two-dimensional Chern insulators, with one momentum dimension replaced by a time variant evolution parameter. The…

Mesoscale and Nanoscale Physics · Physics 2022-06-29 Oubo You , Shanjun Liang , Biye Xie , Wenlong Gao , Weimin Ye , Jie Zhu , Shuang Zhang

The Thouless pump, a cornerstone of topological physics, enables unidirectional quantized wave/particle transport via geometric Berry phase engineering in periodically driven systems. While decades of research have been dedicated to…

Mesoscale and Nanoscale Physics · Physics 2025-10-17 Qingyang Mo , Shanjun Liang , Xiangke Lan , Jie Zhu , Shuang Zhang

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

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 is a slowly driven one-dimensional band insulator which pumps charge at a quantised rate. Previous work showed that pumping persists in weakly disordered chains, and separately in clean chains at finite drive frequency. We…

Disordered Systems and Neural Networks · Physics 2025-06-19 Dominik Vuina , David M. Long , Philip J. D. Crowley , Anushya Chandran

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

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…

Recent studies indicated that helical organic molecules, such as DNA and $\alpha$-helical protein, can behave as Thouless quantum pumps when a rotating electric field is applied perpendicularly to their helical axes. Here we investigate the…

Mesoscale and Nanoscale Physics · Physics 2020-10-14 Ai-Min Guo , Pei-Jia Hu , Xiao-Hui Gao , Tie-Feng Fang , Qing-Feng Sun

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

The dynamics of solitons driven in a nonlinear Thouless pump and its connection with the system's topology were recently explored for both weak and strong nonlinear strength. This work uncovers the fate of nonlinear Thouless pumping in the…

Pattern Formation and Solitons · Physics 2023-09-12 Thomas Tuloup , Raditya Weda Bomantara , Jiangbin Gong

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