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We investigate the effect of inter-particle interaction on the quantized Thouless pump in the bosonic quasiperiodic Aubry-Andr{\'e} model and find that the quantization of the pumped charge breaks down already for weak interactions.…

Quantum Gases · Physics 2026-01-27 Suman Mondal , Emmanuel Gottlob , Fabian Heidrich-Meisner , Ulrich Schneider

The Thouless pump is a phenomenon in which $\mathrm{U}(1)$ charges are pumped from an edge of a fermionic system to another edge. The Thouless pump has been generalized in various dimensions and for various charges. In this paper, we…

Strongly Correlated Electrons · Physics 2023-03-09 Shuhei Ohyama , Ken Shiozaki , Masatoshi Sato

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

We define and study analogs of the Thouless charge pump for many-body gapped systems in dimension $D$. We show how to attach a topological invariant to a $D$-dimensional family of such systems, provided all of them have an on-site $U(1)$…

Strongly Correlated Electrons · Physics 2020-03-24 Anton Kapustin , Lev Spodyneiko

Topological pumps offer a promising route to operate as connecting buses, supplying efficient and robust connectivity between non-neighboring elements in a network. Here, we investigate a finite quasiperiodic Fibonacci-type photonic chain…

Mesoscale and Nanoscale Physics · Physics 2026-05-14 Arnob Kumar Ghosh , Ang Chen , Ashraf El Hassan , Patric Holmvall , Mohamed Bourennane , Annica M. Black-Schaffer

Thouless pumping is a transport phenomenon where a periodically varying Hamiltonian can transfer a quantized amount of charge when the time-dependence of the Hamiltonian is quasi-adiabatic. Past proposals to speed up this process involving…

Quantum Physics · Physics 2024-02-19 Joshua Chiel , Christopher Jarzynski , Jay Sau

We present a realization of quantized charge pumping. A lateral quantum dot is defined by metallic split gates in a GaAs/AlGaAs heterostructure. A surface acoustic wave whose wavelength is twice the dot length is used to pump single…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. Ebbecke , N. E. Fletcher , T. J. B. M. Janssen , F. J. Ahlers , M. Pepper , H. E. Beere , D. A. Ritchie

We investigated the topological pumping charge of a dimerized Kitaev chain with spatially modulated chemical potential, which hosts nodal loops in parameter space and violates particle number conservation. In the simplest case, with…

Strongly Correlated Electrons · Physics 2024-01-18 E. S. Ma , Z. Song

Quantized transport is a prominent feature in topological physics, with canonical examples being the quantum Hall effect and adiabatic Thouless pump, which are based on the Chern number, a topological invariant of 2D systems. Going beyond…

The topological pumping [1-3] is revisited from a view point of the bulk-edge correspondence. Shift of the center of mass (CM) as a pumped charge is explicitly given by the Berry connection in time direction. We show that observed pumping…

Mesoscale and Nanoscale Physics · Physics 2016-07-27 Y. Hatsugai , T. Fukui

Experimental realizations of topological quantum systems and detections of topological invariants in ultracold atomic systems have been a greatly attractive topic. In this work, we propose a scheme to realize topologically different phases…

Quantum Gases · Physics 2017-07-19 Zhihao Xu , Yunbo Zhang , Shu Chen

Quantum pumping holds great potential for future applications in micro- and nanotechnology. Its main feature, dissipationless charge transport, is theoretically possible via several different mechanisms. However, since no unambiguous…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Markku Jaaskelainen , Frank Corvino , Christopher P. Search , Vassilios Fessatidis

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

The robustness of topological properties, such as quantized currents, generally depends on the existence of gaps surrounding the relevant energy levels or on symmetry-forbidden transitions. Here, we observe quantized currents that survive…

Mesoscale and Nanoscale Physics · Physics 2025-08-21 Emmanuel Gottlob , Dan S. Borgnia , Robert-Jan Slager , Ulrich Schneider

The transfer of conserved charges through insulating matter via smooth deformations of the Hamiltonian is known as quantum adiabatic, or Thouless, pumping. Central to this phenomenon are Hamiltonians whose insulating gap is controlled by a…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Pedro L. S. Lopes , Pouyan Ghaemi , Shinsei Ryu , Taylor L. Hughes

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…

For an open quantum system, we investigate the pumped current induced by a slow modulation of control parameters on the basis of the quantum master equation and full counting statistics. We find that the average and the cumulant generating…

Mesoscale and Nanoscale Physics · Physics 2012-12-20 Tatsuro Yuge , Takahiro Sagawa , Ayumu Sugita , Hisao Hayakawa

We realized a quantum geometric "charge" pump for a Bose-Einstein condensate (BEC) in the lowest Bloch band of a novel bipartite magnetic lattice. Topological charge pumps in filled bands yield quantized pumping set by the global --…

Quantum Gases · Physics 2016-05-25 Hsin-I Lu , Max Schemmer , Lauren M. Aycock , Dina Genkina , Seiji Sugawa , Ian B. Spielman

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 have numerically studied a non-adiabatic charge transport in the quantum Hall system pumped by a magnetic flux, as one of the simplest theoretical realizations of non-adiabatic Thouless pumping. In the adiabatic limit, a pumped charge is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 I. Maruyama , Y. Hatsugai