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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

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

Motivated by experimental realizations of integer quantized charge pumping in one-dimensional superlattices~[Nat. Phys. 12, 350 (2016); Nat. Phys. 12, 296 (2016)], we generalize and propose the adiabatic pumping of a fractionalized charge…

Strongly Correlated Electrons · Physics 2016-12-19 Tian-Sheng Zeng , W. Zhu , D. N. Sheng

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,…

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

The topological property in one dimension (1D) is protected by symmetry. Based on a concrete model, we show that since a 1D topological model usually contain two of the three Pauli matrix, the left one automatically become the protecting…

Mesoscale and Nanoscale Physics · Physics 2016-04-21 Jihong Qin , Huaiming Guo

We study one-dimensional topological models with dimerization and trimerization and show that these models can be generated using interaction or optical superlattice. The topological properties of these models are demonstrated by the…

Strongly Correlated Electrons · Physics 2015-06-16 Huaiming Guo

We propose a theoretical scenario for pumping of fractionally charged quasi-particle in the context of $\nu=1/3$ fractional quantum Hall liquid. We consider quasi-particle pumping across an anti-dot level tuned close to the resonance.…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Sourin Das , Vadim Shpitalnik

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

Quantum charge pumping phenomenon connects band topology through the dynamics of a one-dimensional quantum system. In terms of a microscopic model, the Su-Schrieffer-Heeger/Rice-Mele quantum pump continues to serve as a fruitful starting…

Quantum Gases · Physics 2017-07-26 Ning Sun , Lih-King Lim

Topological pumping of ultracold atomic gases has recently been demonstrated in two experiments (Nat. Phys. 12, 296; 12, 350 (2016)). Here we study the topological pumping of a single magnon in a dynamically controlled spin-dependent…

Quantum Gases · Physics 2019-01-18 Feng Mei , Gang Chen , Liantuan Xiao , Suotang Jia

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

We study electron pumping through a system of barriers, whose heights are deformed adiabatically. We derive a simple formula for the pumped charge $Q$ in terms of the total reflection and transmission amplitudes and phases. The pumped…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Argha Banerjee , Sourin Das , Sumathi Rao

A gas of electrons in a one-dimensional periodic potential can be transported even in the absence of a voltage bias if the potential is modulated slowly and periodically in time. Remarkably, the transferred charge per cycle is only…

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

The discovery of topological states of matter has profoundly augmented our understanding of phase transitions in physical systems. Instead of local order parameters, topological phases are described by global topological invariants and are…

Quantization of particle transport lies at the heart of topological physics. In Thouless pumps - dimensionally reduced versions of the integer quantum Hall effect - quantization is dictated by the integer winding of single-band Wannier…

Strongly Correlated Electrons · Physics 2025-08-28 Marius Jürgensen , Jacob Steiner , Gil Refael , Mikael C. Rechtsman

We study topological charge pumping in one-dimensional quasiperiodic systems. Since these systems lack periodicity, we cannot use the conventional approach based on the topological Chern number defined in the momentum space. Here, we…

Mesoscale and Nanoscale Physics · Physics 2021-10-29 Mao Yoshii , Sota Kitamura , Takahiro Morimoto

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…

Strongly Correlated Electrons · Physics 2013-02-26 Davide Rossini , Marco Gibertini , Vittorio Giovannetti , Rosario Fazio

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…

Quantum Physics · Physics 2021-10-26 Lukas Wawer , Razmik Unanyan , Michael Fleischhauer
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