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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…

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…

光学 · 物理学 2021-08-05 Marius Jürgensen , Sebabrata Mukherjee , Mikael C. Rechtsman

A topological 'Thouless' pump represents the quantised motion of particles in response to a slow, cyclic modulation of external control parameters. The Thouless pump, like the quantum Hall effect, is of fundamental interest in physics…

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…

量子气体 · 物理学 2013-07-11 Lei Wang , Matthias Troyer , Xi Dai

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…

斑图形成与孤子 · 物理学 2025-02-21 Marius Jürgensen , Mikael C. Rechtsman

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…

介观与纳米尺度物理 · 物理学 2022-01-05 Nader Mostaan , Fabian Grusdt , Nathan Goldman

Thouless pumps are topologically nontrivial states of matter with quantized charge transport, which can be realized in atomic gases loaded into an optical lattice. This topological state is analogous to the quantum Hall state. However,…

量子气体 · 物理学 2020-12-04 Pasquale Marra , Muneto Nitta

The discovery of topological states of matter has profoundly augmented our understanding of phase transitions in physical systems. Instead of local order parameters, topological phases are described by global topological invariants and are…

量子气体 · 物理学 2018-01-18 Michael Lohse , Christian Schweizer , Hannah M. Price , Oded Zilberberg , Immanuel Bloch

A one-dimensional quantum charge pump transfers a quantized charge in each pumping cycle. This quantization is topologically robust being analogous to the quantum Hall effect. The charge transferred in a fraction of the pumping period is…

量子气体 · 物理学 2015-08-27 Pasquale Marra , Roberta Citro , Carmine Ortix

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…

介观与纳米尺度物理 · 物理学 2024-03-12 Tapio Simula , Niels Kjærgaard , Tilman Pfau

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…

量子气体 · 物理学 2023-02-13 Roberta Citro , Monika Aidelsburger

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…

介观与纳米尺度物理 · 物理学 2025-03-31 S. Ravets , N. Pernet , N. Mostaan , N. Goldman , J. Bloch

The discovery of the quantization of particle transport in adiabatic pumping cycles of periodic structures by Thouless [Phys. Rev. B 27, 6083 (1983)] linked the Chern number, a topological invariant characterizing the quantum Hall effect in…

介观与纳米尺度物理 · 物理学 2022-05-24 Wladimir A. Benalcazar , Jiho Noh , Mohan Wang , Sheng Huang , Kevin P. Chen , Mikael C. Rechtsman

Introduced by David Thouless in 1983, Thouless pumping exemplifies topological properties in topological systems, where the transported charge is quantized by the Chern number. Recently, returning Thouless pumping was theoretically…

介观与纳米尺度物理 · 物理学 2025-05-13 Zheyu Cheng , Sijie Yue , Yang Long , Wentao Xie , Zixuan Yu , Hau Tian Teo , Y. X. Zhao , Haoran Xue , Baile Zhang

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…

量子物理 · 物理学 2020-08-13 Zlata Fedorova , Haixin Qiu , Stefan Linden , Johann Kroha

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…

材料科学 · 物理学 2023-05-18 Paolo Pegolo , Federico Grasselli , Stefano Baroni

Topological quantum pumps are topologically equivalent to the quantum Hall state: In these systems, the charge pumped during each pumping cycle is quantized and coincides with the Chern invariant. However, differently from quantum Hall…

量子气体 · 物理学 2017-11-22 Pasquale Marra , Roberta Citro

Robust quantization of particle transport, as in a Thouless pump, is a hallmark of topological quantum systems with externally controlled system parameters. Here we instead propose and analyze a Thouless pump, for fermions in a…

量子物理 · 物理学 2026-05-11 Julius Bohm , James Anglin , Michael Fleischhauer

Thouless pumping is a mechanism to perform topologically protected transport of particles by adiabatically modulating the Hamiltonian. The transported current is a topological invariant that is intimately related to the integer quantum Hall…

量子物理 · 物理学 2023-01-06 V. M. Bastidas

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…

量子气体 · 物理学 2026-04-01 Xuzhen Cao , Xiaolin Li , Liang Bai , Zhaoxin Liang , Li-Chen Zhao , Ying Hu
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