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We study topological charge pumping (TCP) in the Rice-Mele (RM) model with irreciprocal hopping. The non-Hermiticity gives rise to interesting pumping physics, owing to the presence of skin effect and exceptional points. In the static 1D RM…

Mesoscale and Nanoscale Physics · Physics 2025-02-24 Abhishek Kumar , Sarbajit Mazumdar , S D Mahanti , Kush Saha

A Thouless pump transports an integer amount of charge when pumping adiabatically around a singularity. We study the splitting of such a critical point into two separate critical points by adding a Hubbard interaction. Furthermore, we…

Quantum Gases · Physics 2022-08-02 E. Bertok , F. Heidrich-Meisner , A. A. Aligia

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

Thouless pumping is a fundamental instance of quantized transport, which is topologically protected. Although its theoretical importance, the adiabaticity condition is an obstacle for further practical applications. Here, focusing on the…

Mesoscale and Nanoscale Physics · Physics 2022-06-29 S. Malikis , V. Cheianov

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

The thermodynamic quantities which are related to energy-level statistics are used to characterize the real-space topology of the Rice-Mele model. Through studying the energy spectrum of the model under different boundary conditions, we…

Other Condensed Matter · Physics 2018-02-14 Jia-Bin You , Wanli Yang

Topological charge pumping occurs in the adiabatic limit, and the non-adiabatic effect due to finite ramping velocity reduces the pumping efficiency and leads to deviation from quantized charge pumping. In this work, we discuss the relation…

Mesoscale and Nanoscale Physics · Physics 2024-02-09 Fan Yang , Xingyu Li , Hui Zhai

We investigate the interacting, one-dimensional Rice-Mele model, a prototypical fermionic model of topological properties. To set the stage, we firstly compute the single-particle spectral function, the local density, and the boundary…

Strongly Correlated Electrons · Physics 2020-09-03 Y. -T. Lin , D. M. Kennes , M. Pletyukhov , C. S. Weber , H. Schoeller , V. Meden

We show that two particles interacting via spin exchange exhibit topological features found in one-dimensional single particle lattice models. This is accomplished by absorbing all of the spatial degrees of freedom of the lattices into the…

Quantum Physics · Physics 2023-03-15 J. Mumford

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 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

We address the nature of the Thouless charge-pumping for a non-Hermitian (NH) generalization of the one-dimensional (1d) Rice-Mele model, considering a variety which allows closed-form analytical solutions for the eigensystems. The two-band…

Quantum Physics · Physics 2025-03-18 Ipsita Mandal

Non-Abelian Thouless pumping intertwines adiabatic quantum control and topological quantum transport and it holds potential for quantum metrology and computing. In this work, we introduce a ladder model featuring two doubly-degenerate bands…

Mesoscale and Nanoscale Physics · Physics 2024-10-01 Carlo Danieli , Valentina Brosco , Laura Pilozzi , Roberta Citro

The Thouless pump, a cornerstone of topological physics, enables unidirectional quantized wave/particle transport via geometric Berry phase engineering in periodically driven systems. While decades of research have been dedicated to…

Mesoscale and Nanoscale Physics · Physics 2025-10-17 Qingyang Mo , Shanjun Liang , Xiangke Lan , Jie Zhu , Shuang Zhang

The adiabatic topological pumping is proposed by periodically modulating a semiconductor nanowire double-quantum-dot chain. We demonstrate that the quantized charge transport can be achieved by a nontrivial modulation of the quantum-dot…

Mesoscale and Nanoscale Physics · Physics 2021-11-23 Zhi-Hai Liu , H. Q. Xu

Thouless pumping is a paradigmatic example of topologically protected, directed transport in linear systems. Recent extensions to nonlinear pumps often overlook the need to reassess the conventional framework of linear topology. In this…

Mesoscale and Nanoscale Physics · Physics 2025-08-19 Markus Bestler , Oded Zilberberg

The bulk-edge correspondence (BEC) refers to a one-to-one relation between the bulk and edge properties ubiquitous in topologically nontrivial systems. Depending on the setup, BEC manifests in different forms and govern the spectral and…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 Ken-Ichiro Imura , Yukinori Yoshimura , Takahiro Fukui , Yasuhiro Hatsugai

The Rice-Mele (RM) model, as a paradigmatic extension of the Su-Schrieffer-Heeger (SSH) chain, plays a pivotal role in understanding topological phases and quantized adiabatic transport in one-dimensional systems. Its realization in…

Mesoscale and Nanoscale Physics · Physics 2026-03-06 Tianzhi Xia , Xiying Fan , Qi Chen , Yuanlei Zhang , Zhe Li

We study topological features of interacting spin- 1 2 particles in one-dimensional state-dependent optical lattices. Due to the co-translational symmetry, we introduce the center-of-mass Zak phase with the help of center-of-mass momentum.…

Mesoscale and Nanoscale Physics · Physics 2020-03-04 Ling Lin , Yongguan Ke , Chaohong Lee

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
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