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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…

介观与纳米尺度物理 · 物理学 2022-06-29 S. Malikis , V. Cheianov

In Thouless pump, the charge transport in a one-dimensional insulator over an adiabatic cycle is topologically quantized. For nonequilibrium initial states, however, interband coherence will induce a previously unknown contribution to…

介观与纳米尺度物理 · 物理学 2020-05-13 Gudapati Naresh Raghava , Longwen Zhou , Jiangbin Gong

Thouless pumping, the quantized transport of particles in a cyclic adiabatic evolution, faces a challenge: slow driving may exceed the coherent time, while fast driving may break quantization. To address this dilemma, we propose to speed up…

量子物理 · 物理学 2024-02-08 Wenjie Liu , Yongguan Ke , Chaohong Lee

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…

介观与纳米尺度物理 · 物理学 2024-10-01 Carlo Danieli , Valentina Brosco , Laura Pilozzi , Roberta Citro

A Thouless pump is a slowly driven one-dimensional band insulator which pumps charge at a quantised rate. Previous work showed that pumping persists in weakly disordered chains, and separately in clean chains at finite drive frequency. We…

无序系统与神经网络 · 物理学 2025-06-19 Dominik Vuina , David M. Long , Philip J. D. Crowley , Anushya Chandran

We propose a two-dimensional (2D) version of Thouless pumping that can be realized by using ultracold atoms in optical lattices. To be specific, we consider a 2D square lattice tight-binding model with an obliquely introduced superlattice.…

量子气体 · 物理学 2020-11-03 Fuyuki Matsuda , Masaki Tezuka , Norio Kawakami

Continuous and quantized transports are profoundly different. The latter is determined by the global rather than local properties of a system, it exhibits unique topological features, and its ubiquitous nature causes its occurrence in many…

The transfer of conserved charges through insulating matter via smooth deformations of the Hamiltonian is known as quantum adiabatic, or Thouless, pumping. Central to this phenomenon are Hamiltonians whose insulating gap is controlled by a…

介观与纳米尺度物理 · 物理学 2017-01-04 Pedro L. S. Lopes , Pouyan Ghaemi , Shinsei Ryu , Taylor L. Hughes

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…

Adiabatic cyclic modulation of a one-dimensional periodic potential will result in quantized charge transport, which is termed the Thouless pump. In contrast to the original Thouless pump restricted by the topology of the energy band, here…

We analyze the properties of the quasi-one-dimensional triangle lattice emphasizing the occurrence of flat bands and band touching via the tuning of the lattice hopping parameters and on-site energies. The spectral properties of the…

介观与纳米尺度物理 · 物理学 2013-01-22 M. Schulze , D. Bercioux , D. F. Urban

Dynamics of particle in a resonantly driven quantum well can be interpreted as that of a particle in a crystal-like structure, with the time playing the role of the coordinate. By introducing an adiabatically varied phase in the driving…

量子气体 · 物理学 2022-10-05 Y. Braver , C. -h. Fan , G. Žlabys , E. Anisimovas , K. Sacha

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…

量子气体 · 物理学 2013-07-11 Lei Wang , Matthias Troyer , Xi Dai

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…

光学 · 物理学 2021-08-05 Marius Jürgensen , Sebabrata Mukherjee , Mikael C. Rechtsman

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

We investigate the dynamics of nonlinear optical Thouless pumps in the presence of disorder, using optical waveguide arrays. It was previously known that the displacement of solitons in Thouless pumps is quantized and may exhibit integer…

介观与纳米尺度物理 · 物理学 2025-12-15 Abhijit P. Chaudhari , Marius Jürgensen , Mikael C. Rechtsman

We consider theoretically the nonlinear quantized Thouless pumping of a Bose-Einstein condensate loaded in a two-dimensional dynamical optical lattices. We encountered three different scenarios of the pumping: quasi-linear one occurring for…

斑图形成与孤子 · 物理学 2022-10-26 Qidong Fu , Peng Wang , Yaroslav V. Kartashov , Vladimir V. Konotop , Fangwei Ye

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,…

When it comes to applying the adiabatic theorem in practice, the key question to be answered is how slow "slowly enough" is. This question can be an intricate one, especially for many-body systems, where the limits of slow driving and large…

量子气体 · 物理学 2018-04-04 Oleg Lychkovskiy , Oleksandr Gamayun , Vadim Cheianov

We introduce a systematic procedure based on optimal control theory to address the full counting statistics of particle transport in a stochastic system. Our approach enhances the performance of a Thouless pump in the non-adiabatic regime…

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