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Many physically interesting models show a quantum phase transition when a single parameter is varied through a critical point, where the ground state and the first excited state become degenerate. When this parameter appears as a coupling…

Quantum Physics · Physics 2008-09-24 Gernot Schaller

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

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,…

Quantum Gases · Physics 2020-12-04 Pasquale Marra , Muneto Nitta

A topological pump enables robust transport of quantized particles when the system parameters are varied in a cyclic process. In previous studies, topological pump was achieved inhomogeneous systems guaranteed by a topological invariant of…

Mesoscale and Nanoscale Physics · Physics 2021-04-08 Bi-Ye Xie , Oubo You , Shuang Zhang

Recent explorations of quantized solitons transport in optical waveguides have thrust nonlinear topological pumping into the spotlight. In this work, we introduce a unified topological invariant applicable across both weakly and strongly…

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 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…

Quantum Physics · Physics 2023-01-06 V. M. Bastidas

We analyze theoretically adiabatic quantum pumping through a normal conductor that couples the normal regions of two superconductor/normal metal/superconductor Josephson junctions. By using the phases of the superconducting order parameter…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. Russo , J. Tobiska , T. M. Klapwijk , A. F. Morpurgo

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…

Mesoscale and Nanoscale Physics · Physics 2025-05-13 Zheyu Cheng , Sijie Yue , Yang Long , Wentao Xie , Zixuan Yu , Hau Tian Teo , Y. X. Zhao , Haoran Xue , Baile Zhang

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

We investigate the quantization of adiabatic charge transport in the insulating ground state of finite systems. Topological charge pumps are used in experiments as an indicator of topological order. In the thermodynamic limit the transport…

Quantum Gases · Physics 2017-09-13 Rui Li , Michael Fleischhauer

Topological Thouless pumping and Aharonov-Bohm effect are both fundamental effects enabled by the topological properties of the system. Here, we study both effects together: topological pumping of interacting particles through Aharonov-Bohm…

Quantum Physics · Physics 2021-02-04 Tobias Haug , Rainer Dumke , Leong-Chuan Kwek , Luigi Amico

We propose a two-dimensional (2D) version of Thouless pumping that can be realized by using ultracold atoms in optical lattices. To be specific, we consider a 2D square lattice tight-binding model with an obliquely introduced superlattice.…

Quantum Gases · Physics 2020-11-03 Fuyuki Matsuda , Masaki Tezuka , Norio Kawakami

It has recently been theoretically predicted and experimentally observed that a soliton resulting from nonlinearity can be pumped across an integer or fractional number of unit cells as a system parameter is slowly varied over a pump…

Pattern Formation and Solitons · Physics 2026-01-21 Yu-Liang Tao , Jiong-Hao Wang , Yong Xu

Topological pumping of edge states in finite crystals or quasicrystals with non-trivial topological phases provides a powerful means for robust excitation transfer. In most schemes of topological pumping, the edge states become delocalized…

Quantum Physics · Physics 2021-02-19 Stefano Longhi

Adiabatic quantum pumping in one-dimensional lattices is extended by adding a tilted potential to probe better topologically nontrivial bands. This extension leads to almost perfectly quantized pumping for an arbitrary initial state…

Quantum Physics · Physics 2020-08-05 Yongguan Ke , Shi Hu , Bo Zhu , Jiangbin Gong , Yuri Kivshar , Chaohong Lee

Nonlinear Thouless pumping has been established in periodic lattices; its counterpart in quasiperiodic lattices remains unexplored. Here, we show a nonlinear topological pumping of gap solitons in quasiperiodic lattices where the local…

Quantum Physics · Physics 2026-04-02 Xiao-Xiao Hu , Dun Zhao , Hong-Gang Luo

We theoretically study nonadiabatic corrections for charge pumping in a noninteracting electron model of a single-level quantum dot. We derive a formula for the velocity limit of parameter driving to realize adiabatic pumping and illustrate…

Mesoscale and Nanoscale Physics · Physics 2022-06-15 Masahiro Hasegawa , Takeo Kato

Particle-particle interaction provides a new degree of freedom to induce novel topological phenomena. Here, we propose to use spatiotemporal modulation of interaction to realize topological pumping without single-particle counterpart.…

Mesoscale and Nanoscale Physics · Physics 2024-10-28 Boning Huang , Yongguan Ke , Wenjie Liu , Chaohong Lee

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…