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Geometric properties of waves and wave functions can explain the appearance of integer-valued observables throughout physics. For example, these 'topological' invariants describe the plateaux observed in the quantised Hall effect and the…

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…

When it comes to applying the adiabatic theorem in practice, the key question to be answered is how slow "slowly enough" is. This question can be an intricate one, especially for many-body systems, where the limits of slow driving and large…

Quantum Gases · Physics 2018-04-04 Oleg Lychkovskiy , Oleksandr Gamayun , Vadim Cheianov

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

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

As the basis for generating multi-particle quantum correlations, inter-particle interaction plays a crucial role in collective quantum phenomena, quantum phase transitions, and quantum information processing. It can profoundly alter the…

A Thouless pump transports an integer amount of charge when pumping adiabatically around a singularity. We study the splitting of such a critical point into two separate critical points by adding a Hubbard interaction. Furthermore, we…

Quantum Gases · Physics 2022-08-02 E. Bertok , F. Heidrich-Meisner , A. A. Aligia

Thouless pumping represents a powerful concept to probe quantized topological invariants in quantum systems. We explore this mechanism in a generalized Rice-Mele Fermi-Hubbard model characterized by the presence of competing onsite and…

We study charge pumping when a combination of static potentials and potentials oscillating with a time period T is applied in a one-dimensional system of non-interacting electrons. We consider both an infinite system using the Dirac…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Abhiram Soori , Diptiman Sen

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 investigate the dynamics of nonlinear optical Thouless pumps in the presence of disorder, using optical waveguide arrays. It was previously known that the displacement of solitons in Thouless pumps is quantized and may exhibit integer…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 Abhijit P. Chaudhari , Marius Jürgensen , Mikael C. Rechtsman

We study Thouless pumping out of the adiabatic limit. Our findings show that despite its topological nature, this phenomenon is not {generically} robust to non-adiabatic effects. Indeed we find that the Floquet diagonal ensemble value of…

Quantum Gases · Physics 2018-03-14 Lorenzo Privitera , Angelo Russomanno , Roberta Citro , Giuseppe E. Santoro

We investigate an adiabatic spin pumping through a quantum dot with a single orbital energy level under the Zeeman effect. Electron pumping is produced by two periodic time dependent parameters, a magnetic field and a difference of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tomosuke Aono

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

We study adiabatic pumping through a two-level quantum dot with spin-orbit coupling. Using a diagrammatic real-time approach, we calculate both the pumped charge and spin for a periodic variation of the dot's energy levels in the limit of…

Mesoscale and Nanoscale Physics · Physics 2013-02-11 Stephan Rojek , Jürgen König , Alexander Shnirman

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

Quantized charge pumping in one-dimensional chiral wires has been widely studied in the context of topological physics in a (1+1)-dimensional synthetic space, yet the role of orbital and spin degrees of freedom in such topological pumps…

Mesoscale and Nanoscale Physics · Physics 2025-12-25 Esmaeil Taghizadeh Sisakht , Uiseok Jeong , Xiao jiang , Jinseok Oh , Yizhou Liu , Binghai Yan , Noejung Park

Periodically driven quantum systems provide a novel and versatile platform for realizing topological phenomena. Among these are analogs of topological insulators and superconductors, attainable in static systems; however, some of these…

Mesoscale and Nanoscale Physics · Physics 2016-05-12 Paraj Titum , Erez Berg , Mark S. Rudner , Gil Refael , Netanel H. Lindner

We present a field theoretic treatment of an adiabatic quantum motor. We explicitly discuss a motor termed Thouless motor which is based on a Thouless pump operating in reverse. When a sliding periodic potential is considered as the motor…

Mesoscale and Nanoscale Physics · Physics 2018-05-16 Anton Bruch , Silvia Viola Kusminskiy , Gil Refael , Felix von Oppen

We consider adiabatic charge transport through an almost open quantum dot. We show that the charge transmitted in one cycle is quantized in the limit of vanishing temperature and one-electron mean level spacing in the dot. The explicit…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 I. L. Aleiner , A. V. Andreev