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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

We suggest a scheme for the preparation of highly correlated Laughlin (LN) states in the presence of synthetic gauge fields, realizing an analogue of the fractional quantum Hall effect in photonic or atomic systems of interacting bosons. It…

Quantum Gases · Physics 2014-10-15 Fabian Grusdt , Fabian Letscher , Mohammad Hafezi , Michael Fleischhauer

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…

In this paper we review some connections recently discovered between topological insulators and certain classes of quantum spin liquids, focusing on two and three spatial dimensions. In two dimensions we show the integer quantum Hall effect…

Strongly Correlated Electrons · Physics 2012-03-29 Gregory A. Fiete , Victor Chua , Mehdi Kargarian , Rex Lundgren , Andreas Ruegg , Jun Wen , Vladimir Zyuzin

Photonic systems provide a highly tunable platform for emulating quantum Hall physics. This tunability enables probing of the interplay between strong disorder and robust topological transport that remains difficult to access in solid-state…

There has been a growing interest in realizing topologically nontrivial states of matter in band insulators, where a quantum Hall effect can appear as an intrinsic property of the band structure. While the on-going progress is under way…

Strongly Correlated Electrons · Physics 2016-07-20 W. Zhu , S. S. Gong , D. N. Sheng

We use exact techniques to demonstrate theoretically the pumping of fractional charges in a single-level non-interacting quantum dot, when the dot-reservoir coupling is adiabatically driven from weak to strong coupling. The pumped charge…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 Masahiro Hasegawa , Etienne Jussiau , Robert S. Whitney

We report a theoretical study of the quantized spin pump in a traditional two-parameter quantum pump device that is based on the helical edge states of a quantum spin Hall insulator. By introducing two time-dependent magnetizations out of…

Mesoscale and Nanoscale Physics · Physics 2018-03-07 Mei-Juan Wang , J. Wang , Jun-Feng Liu

A spin strongly driven by two harmonic incommensurate drives can pump energy from one drive to the other at a quantized average rate, in close analogy with the quantum Hall effect. The pumping rate is a non-zero integer in the topological…

Mesoscale and Nanoscale Physics · Physics 2020-09-02 Philip J. D. Crowley , Ivar Martin , Anushya Chandran

The quantum Hall effect occuring in two-dimensional electron gases was first explained by Laughlin, who envisioned a thought experiment that laid the groundwork for our understanding of topological quantum matter. His proposal is based on a…

Topological gapless phases of matter have been a recent interest among theoretical and experimental condensed matter physicists. Fermionic chains with extended nearest neighbor couplings have been observed to show unique topological…

Quantum Physics · Physics 2025-04-08 Ranjith R Kumar , Hideaki Obuse

We analyze time-dependent transport through a quantum dot with electron-electron interaction that is statically tunable to both repulsive and attractive regimes, or even dynamically driven. Motivated by the recent experimental realization…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 B. A. Placke , T. Pluecker , J. Splettstoesser , M. R. Wegewijs

When adiabatically varied in time, certain one-dimensional band insulators allow for the quantized noiseless pumping of spin even in the presence of strong spin orbit scattering. These spin pumps are closely related to the quantum spin Hall…

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

Attractive interaction between spinless fermions in a two-dimensional lattice drives the formation of a topological superfluid. But the topological phase is dynamically unstable towards phase separation when the system has a high density of…

Quantum Gases · Physics 2021-10-04 Junhua Zhang , Sumanta Tewari , V. W. Scarola

We investigate whether there could exist topological invariants of gapped 2D materials related to dissipationless thermoelectric transport at low temperatures. We give both macroscopic and microscopic arguments showing that thermoelectric…

Strongly Correlated Electrons · Physics 2021-07-13 Michael Levin , Anton Kapustin , Lev Spodyneiko

Topological phases and topological phase transitions (TPT) are among the most fantastic phenomena in Nature. Here we show that injecting a current may lead to new topological phases, especially new gapless topological metallic phases with…

Mesoscale and Nanoscale Physics · Physics 2023-03-14 Fadi Sun , Jinwu Ye

We investigate a quasi-periodically driven four-level system that serves as a temporal analog of topological phenomena found in four-band models with intertwined spin and orbital degrees of freedom. Under a two-tone drive in the…

Mesoscale and Nanoscale Physics · Physics 2026-05-12 Vansh Kaushik , Sayan Choudhury , Tanay Nag

We study the quantized charge pumping of higher-order topological insulators (HOTIs) with edge-corner correspondences based on the combination of the rotation of in-plane magnetic field and the quantum spin Hall effect. A picture of a…

Mesoscale and Nanoscale Physics · Physics 2022-10-19 Bing-Lan Wu , Ai-Min Guo , Zhi-Qiang Zhang , Hua Jiang

We show that in a system of one dimensional spinless fermions a topological phase and phase transition can emerge only through interaction. By allowing a dimerized or bond-alternating nearest neighbour interaction we show that the system…

Strongly Correlated Electrons · Physics 2022-11-17 Suman Mondal , Ashirbad Padhan , Tapan Mishra

Quantized charge pumping in one-dimensional chiral wires has been widely studied in the context of topological physics in a (1+1)-dimensional synthetic space, yet the role of orbital and spin degrees of freedom in such topological pumps…

Mesoscale and Nanoscale Physics · Physics 2025-12-25 Esmaeil Taghizadeh Sisakht , Uiseok Jeong , Xiao jiang , Jinseok Oh , Yizhou Liu , Binghai Yan , Noejung Park