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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…

介观与纳米尺度物理 · 物理学 2022-05-24 Wladimir A. Benalcazar , Jiho Noh , Mohan Wang , Sheng Huang , Kevin P. Chen , Mikael C. Rechtsman

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…

介观与纳米尺度物理 · 物理学 2018-05-09 Ken-Ichiro Imura , Yukinori Yoshimura , Takahiro Fukui , Yasuhiro Hatsugai

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…

量子气体 · 物理学 2019-01-02 A. L. C. Hayward , C. Schweizer , M. Lohse , M. Aidelsburger , F. Heidrich-Meisner

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…

介观与纳米尺度物理 · 物理学 2025-02-24 Abhishek Kumar , Sarbajit Mazumdar , S D Mahanti , Kush Saha

It is well known that quantized topological charge pumping takes place in the half filled Rice-Mele chain performing a closed cycle in parameter space. We extend previous studies to the case of charge and heat transport at arbitrary filling…

介观与纳米尺度物理 · 物理学 2025-02-04 P. Roura-Bas , A. A. Aligia

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…

量子物理 · 物理学 2021-02-19 Stefano Longhi

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…

强关联电子 · 物理学 2024-01-18 E. S. Ma , Z. Song

We analyze a tight binding model of two coupled chains with strongly interacting fermions. Depending on the parameter $w$, the many body lowest energy band consists of either single particles or bound pairs. A topological quantum pump can…

强关联电子 · 物理学 2019-02-20 Bart van Voorden , Kareljan Schoutens

Quantized adiabatic transport can occur when a system is slowly modulated over time. In most realizations however, the efficiency of such transport is reduced by unwanted dissipation, back-scattering, and non-adiabatic effects. In this…

Recent experiments with ultracold quantum gases have successfully realized integer-quantized topological charge pumping in optical lattices. Motivated by this progress, we study the effects of static disorder on topological Thouless charge…

量子气体 · 物理学 2021-05-03 A. L. C. Hayward , E. Bertok , U. Schneider , F. Heidrich-Meisner

The topological pumping [1-3] is revisited from a view point of the bulk-edge correspondence. Shift of the center of mass (CM) as a pumped charge is explicitly given by the Berry connection in time direction. We show that observed pumping…

介观与纳米尺度物理 · 物理学 2016-07-27 Y. Hatsugai , T. Fukui

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…

介观与纳米尺度物理 · 物理学 2016-01-15 M. N. Chen , L. Sheng , R. Shen , D. N. Sheng , D. Y. Xing

The ability to pump quantised amounts of charge is one of the hallmarks of topological materials. An archetypical example is Laughlin's gauge argument for transporting an integer number of electrons between the edges of a quantum Hall…

强关联电子 · 物理学 2020-05-13 Mariya A. Lizunova , Florian Schreck , Cristiane Morais Smith , Jasper van Wezel

We establish the concept of topological pumping in one-dimensional systems with long-range couplings and apply it to the transport of a photon in quantum optical systems. In our theoretical investigation, we introduce an extended version of…

量子物理 · 物理学 2024-10-02 Mathias B. M. Svendsen , Marcel Cech , Max Schemmer , Beatriz Olmos

Quantized particle or spin transport upon cyclic parameter variations, determined by topological invariants, is a key signature of Chern insulators in the ground state. While measurable many-body observables exist that preserve the…

量子物理 · 物理学 2021-10-26 Lukas Wawer , Razmik Unanyan , Michael Fleischhauer

By means of time-dependent density matrix renormalization group calculations we study topological quantum pumping in a strongly interacting system. The system under consideration is described by the Hamiltonian of a one-dimensional extended…

强关联电子 · 物理学 2013-02-26 Davide Rossini , Marco Gibertini , Vittorio Giovannetti , Rosario Fazio

The one-dimensional Rice-Mele lattice consisting of two-site unit cells enables topological charge pumping at low enough temperatures. We show here that energy pumping is feasible in this system. We analyze energy polarization using the…

介观与纳米尺度物理 · 物理学 2023-03-06 Kiminori Hattori , Kodai Ishikawa , Yuma Kaneko

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…

介观与纳米尺度物理 · 物理学 2019-09-18 Masahiro Hasegawa , Etienne Jussiau , Robert S. Whitney

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…

量子物理 · 物理学 2025-03-18 Ipsita Mandal

We study a non-Hermitian Rice-Mele model without breaking time-reversal symmetry, with the non-Hermiticity arising from imbalanced hopping rates. The Berry connection, Berry curvature and Chern number are introduced in the context of…

量子物理 · 物理学 2018-10-24 R. Wang , X. Z. Zhang , Z. Song
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