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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

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

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

In many contexts, the interaction between particles gives rise to emergent and perhaps unanticipated physical phenomena. An example is the fractional quantum Hall effect, where interaction between electrons gives rise to fractionally…

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

More than 30 years ago, Thouless introduced the concept of a topological charge pump that would enable the robust transport of charge through an adiabatic cyclic evolution of the underlying Hamiltonian. In contrast to classical transport,…

The dynamics of solitons driven in a nonlinear Thouless pump and its connection with the system's topology were recently explored for both weak and strong nonlinear strength. This work uncovers the fate of nonlinear Thouless pumping in the…

Pattern Formation and Solitons · Physics 2023-09-12 Thomas Tuloup , Raditya Weda Bomantara , Jiangbin Gong

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

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

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

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…

Quantum Gases · Physics 2023-02-13 Roberta Citro , Monika Aidelsburger

The interplay between nonlinear and topological physics has led to intriguing emergent phenomena, such as quantized and fractionally quantized Thouless pumping of solitons dictated by the topological invariants of the underlying band…

Optics · Physics 2025-11-05 Ankitkumar Maisuriya , Siddhi Mali , Sunil Mittal

The interplay between topology and soliton is a central topic in nonlinear topological physics. So far, most studies have been confined to conservative settings. Here, we explore Thouless pumping of dissipative temporal solitons in a…

Quantum Gases · Physics 2024-09-06 Xuzhen Cao , Chunyu Jia , Ying Hu , Zhaoxin Liang

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…

Mesoscale and Nanoscale Physics · Physics 2022-01-05 Nader Mostaan , Fabian Grusdt , Nathan Goldman

We report on the topological pumping of quadratic optical solitons, observed through their quantized transport in a dynamic optical potential. A distinctive feature of this system is that the two fields with different frequencies, which…

Optics · Physics 2025-02-27 Yaroslav V. Kartashov , Fangwei Ye , Vladimir V. Konotop

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…

Nonlinearity enables the emergence of localized waves such as solitons that maintain their shapes during propagation. Solitons are broadly classified into bright and dark solitons. While a bright soliton exhibits a density peak, a dark…

Pattern Formation and Solitons · Physics 2025-08-12 Yu-Liang Tao , Huaxin He , Hao Lyu , Yongping Zhang , Yong Xu

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

We consider theoretically the nonlinear quantized Thouless pumping of a Bose-Einstein condensate loaded in a two-dimensional dynamical optical lattices. We encountered three different scenarios of the pumping: quasi-linear one occurring for…

Pattern Formation and Solitons · Physics 2022-10-26 Qidong Fu , Peng Wang , Yaroslav V. Kartashov , Vladimir V. Konotop , Fangwei Ye

We study a Thouless pump realized with an elastically \textit{deformable quantum dot} whose center of mass follows a non-linear stochastic dynamics. The interplay of noise, non-linear effects, dissipation and interaction with an external…

Mesoscale and Nanoscale Physics · Physics 2015-11-26 C. A. Perroni , F. Romeo , A. Nocera , V. Marigliano Ramaglia , R. Citro , V. Cataudella
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