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We propose and analyze theoretically a one-dimensional solid-state electronic setup that operates as a topological charge pump in the complete absence of superimposed oscillating local voltages. The system consists of a semiconducting…

Mesoscale and Nanoscale Physics · Physics 2018-06-20 Sudhakar Pandey , Niccolo' Scopigno , Paola Gentile , Mario Cuoco , Carmine Ortix

We investigate the formation of quasisteady states in one-dimensional pumps of interacting fermions at non-integer filling fraction, in the regime where the driving frequency and interaction strength are small compared to the instantaneous…

Quantum Gases · Physics 2022-05-24 Raffael Gawatz , Ajit C. Balram , Erez Berg , Netanel H. Lindner , Mark S. Rudner

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…

Quantum Gases · Physics 2013-07-11 Lei Wang , Matthias Troyer , Xi Dai

We demonstrate the existence of a conceptually distinct topological pumping phenomenon in one-dimensional chains undergoing topological adiabatic cycles. Specifically, for a stack of two semi-infinite chains cycled in opposite directions…

Strongly Correlated Electrons · Physics 2023-05-03 Bryan Leung , Emil Prodan

We investigate topological charge pumping in a system of interacting bosons in the tight-binding limit, described by the Rice-Mele model. An appropriate topological invariant for the many-body case is the change of polarization per pump…

Quantum Gases · Physics 2019-01-02 A. L. C. Hayward , C. Schweizer , M. Lohse , M. Aidelsburger , F. Heidrich-Meisner

We study the properties of the quantum states in the one-dimensional system with a shifted periodic potential in both the discrete model and the continuous model. With open boundary conditions, the edge states appear in the energy gaps…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Yi Zheng , Shi-Jie Yang

Pure spin currents are shown to be generated by an electrically controlled quantum pump applied at the edges of a topological insulator. The electric rather than the more conventional magnetic control offers several advantages and avoids,…

Mesoscale and Nanoscale Physics · Physics 2012-02-23 R. Citro , F. Romeo , N. Andrei

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 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…

Mesoscale and Nanoscale Physics · Physics 2022-05-24 Wladimir A. Benalcazar , Jiho Noh , Mohan Wang , Sheng Huang , Kevin P. Chen , Mikael C. Rechtsman

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…

Quantum Gases · Physics 2017-11-22 Pasquale Marra , Roberta Citro

We consider quantum condensed matter systems without particle-number conservation. Since the particle number is not a good quantum number, states belonging to different particle-number sectors can hybridize, which causes topological…

Mesoscale and Nanoscale Physics · Physics 2025-07-24 Alexander Mook , Rhea Hoyer , Jelena Klinovaja , Daniel Loss

The nonlinear Thouless pumping is an exciting frontier of topological physics. While recent works have revealed the quantized motion of solitons in Thouless pumps, the interplay between the topology, nonlinearity and disorder remains…

Quantum Gases · Physics 2024-07-19 Xuzhen Cao , Chunyu Jia , Ying Hu , Zhaoxin Liang

Topological insulators (TIs) are a new quantum state of matter discovered recently, which are characterized by unconventional bulk topological invariants. Proposals for practical applications of the TIs are mostly based upon their metallic…

Mesoscale and Nanoscale Physics · Physics 2016-01-15 M. N. Chen , L. Sheng , R. Shen , D. N. Sheng , D. Y. Xing

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

Based on a topological transition of the symmetry protected topological phase (SPT), an interaction induced topological charge pump (iTCP) is proposed with the symmetry breaking parameter as a synthetic dimension. It implies that the phase…

Quantum Gases · Physics 2020-11-04 Yoshihito Kuno , Yasuhiro Hatsugai

Topological states of matter are peculiar quantum phases showing different edge and bulk transport properties connected by the bulk-boundary correspondence. While non-interacting fermionic topological insulators are well established by now…

Quantum Gases · Physics 2016-10-18 M. Di Liberto , A. Hemmerich , C. Morais Smith

One-dimensional topological pumping of matter waves in two overlaid optical lattices moving with respect to each other is considered in the presence of attractive nonlinearity. It is shown that there exists a threshold nonlinearity level…

Pattern Formation and Solitons · Physics 2022-04-27 Qidong Fu , Peng Wang , Yaroslav V. Kartashov , Vladimir V. Konotop , Fangwei Ye

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

The simulation of synthetic dimensions by manipulating internal states of atoms and molecules has opened the door to investigate regimes outside those of more traditional quantum many-body platforms. Highly excited Rydberg states of atoms…

Quantum Physics · Physics 2024-06-14 Martin Trautmann , Inti Sodemann Villadiego , Johannes Deiglmayr

We investigate charge pumping in the vicinity of order-obstructed topological phases, i.e. symmetry protected topological phases masked by spontaneous symmetry breaking in the presence of strong correlations. To explore this, we study a…

Strongly Correlated Electrons · Physics 2021-01-27 Jacob Marks , Michael Schüler , Jan C. Budich , Thomas P. Devereaux
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