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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…

We investigate adiabatic charge pumping in disordered system in one dimension with open and closed boundary conditions. In contrast to the Thouless charge pumping, the system has no gap even though all the states are localized, i.e., strong…

Disordered Systems and Neural Networks · Physics 2009-11-13 Chyh-Hong Chern , Shigeki Onoda , Shuichi Murakami , Naoto Nagaosa

Non-Abelian Thouless pumping intertwines adiabatic quantum control and topological quantum transport and it holds potential for quantum metrology and computing. In this work, we introduce a ladder model featuring two doubly-degenerate bands…

Mesoscale and Nanoscale Physics · Physics 2024-10-01 Carlo Danieli , Valentina Brosco , Laura Pilozzi , Roberta Citro

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

Certain band insulators allow for the adiabatic pumping of quantized charge or spin for special time-dependences of the Hamiltonian. These "topological pumps" are closely related to two dimensional topological insulating phases of matter…

Mesoscale and Nanoscale Physics · Physics 2013-07-31 Dganit Meidan , Tobias Micklitz , Piet W. Brouwer

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

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…

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

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

Thouless's quantum adiabatic pumping is of fundamental interest to condensed-matter physics. It originally considered a zero-temperature equilibrium state uniformly occupying all the bands below a Fermi surface. In the light of recent…

Quantum Physics · Physics 2015-12-16 Longwen Zhou , Da Yang Tan , Jiangbin Gong

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

Nonlinear interaction enables topological phenomena impossible in linear systems. A paradigm is nonlinear Thouless pump, where the transport of solitons can be topologically quantized even when band occupation is nonuniform. Such nonlinear…

Quantum Gases · Physics 2026-04-01 Xuzhen Cao , Xiaolin Li , Liang Bai , Zhaoxin Liang , Li-Chen Zhao , Ying Hu

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

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

Thouless pumps are time-periodic one-dimensional systems that capture the physics of the two-dimensional quantum Hall effect via the quantized pumping of particles under adiabatic modulation. Recent work in photonics has shown that…

Pattern Formation and Solitons · Physics 2025-02-21 Marius Jürgensen , Mikael C. Rechtsman

We present a geometric formalism for the non-equilibrium thermodynamics of a small system coupled to external isothermal reservoirs as an application of Thouless pumping, where the electrochemical potentials of the reservoirs and parameters…

Statistical Mechanics · Physics 2025-05-23 Ryosuke Yoshii , Hisao Hayakawa

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

A gas of electrons in a one-dimensional periodic potential can be transported even in the absence of a voltage bias if the potential is modulated slowly and periodically in time. Remarkably, the transferred charge per cycle is only…

Dynamics of particle in a resonantly driven quantum well can be interpreted as that of a particle in a crystal-like structure, with the time playing the role of the coordinate. By introducing an adiabatically varied phase in the driving…

Quantum Gases · Physics 2022-10-05 Y. Braver , C. -h. Fan , G. Žlabys , E. Anisimovas , K. Sacha

We study Thouless pumps, i.e., adiabatic topological transport, in an interacting spin chain described by the dimerized XXZ Hamiltonian. In the noninteracting case, quantized Thouless pumps can only occur when a topological singularity is…

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