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In the adiabatic and weak-modulation quantum pump, net electron flow is driven from one reservoir to the other by absorbing or emitting an energy quantum $\hbar \omega $ from or to the reservoirs. In our approach, high-order dependence of…

Mesoscale and Nanoscale Physics · Physics 2009-11-09 Rui Zhu

Topological phases of matter is an exotic phenomena in modern condense matter physics, which has attracted much attention due to the unique boundary states and transport properties. Recently, this topological concept in electronic materials…

Quantum Physics · Physics 2021-08-06 Zheng-Yuan Xue , Yong Hu

Nonlinear interaction enables topological phenomena impossible in linear systems. A paradigm is nonlinear Thouless pump, where the transport of solitons can be topologically quantized even when band occupation is nonuniform. Such nonlinear…

Quantum Gases · Physics 2026-04-01 Xuzhen Cao , Xiaolin Li , Liang Bai , Zhaoxin Liang , Li-Chen Zhao , Ying Hu

Topological phases in quantum and classical systems have been of significant recent interest due to their fascinating physical properties. While a range of different mechanisms to induce topological order have been introduced, a quest for…

Materials Science · Physics 2019-08-07 Mengyao Li , Xiang Ni , Matthew Weiner , Andrea Alù , Alexander B. Khanikaev

Recent work (PRX 7, 041008) has shown that a spin coupled to two externally supplied circularly-polarized electromagnetic modes can effectuate a topological, quantized transfer of photons from one mode to the other. Here we study the effect…

Mesoscale and Nanoscale Physics · Physics 2019-03-29 Frederik Nathan , Ivar Martin , Gil Refael

Many robust physical phenomena in quantum physics are based on topological invariants arising due to intriguing geometrical properties of quantum states. Prime examples are the integer and fractional quantum Hall effects that demonstrate…

Superconductivity · Physics 2023-10-18 Hannes Weisbrich , Raffael L. Klees , Oded Zilberberg , Wolfgang Belzig

Thouless charge pumping protocol provides an effective route for realizing topological particle transport. To date, the first-order and higher-order topological pumps, exhibiting transitions of edge-bulk-edge and corner-bulk-corner states,…

Mesoscale and Nanoscale Physics · Physics 2023-09-11 Tianzhi Xia , Yuzeng Li , Qicheng Zhang , Xiying Fan , Meng Xiao , Chunyin Qiu

Nanoscale conductors are interesting for thermoelectrics because of their particular spectral features connecting separated heat and particle currents. Multiterminal devices in the quantum regime benefit from phase-coherent phenomena, which…

Mesoscale and Nanoscale Physics · Physics 2026-02-23 José Balduque , Rafael Sánchez

The paradigm of Floquet engineering of topological states of matter can be generalized into the time-quasiperiodic scenario, where a lower dimensional time-dependent system maps into a higher dimensional one by combining the physical…

Mesoscale and Nanoscale Physics · Physics 2021-12-07 Zihao Qi , Gil Refael , Yang Peng

The bulk-boundary correspondence relates quantized edge states to bulk topological invariants in topological phases of matter. In one-dimensional symmetry-protected topological systems (SPTs), quantized topological Thouless pumps directly…

Strongly Correlated Electrons · Physics 2022-06-20 Julian F. Wienand , Friederike Horn , Monika Aidelsburger , Julian Bibo , Fabian Grusdt

Novel classical wave phenomenon analogs of the quantum spin Hall effect are mostly based on the construction of pseudo-spins. Here we show that the non-trivial topology of a system can also be realized using orbital angular momentum through…

Mesoscale and Nanoscale Physics · Physics 2018-08-17 Tianshu Jiang , Meng Xiao , Wenjie Chen , Lechen Yang , Yawen Fang , Wing Yim Tam , C. T. Chan

The Adler equation is a well-known one-dimensional model describing phase locking and synchronization. Motivated by recent experiments using optomechanical oscillators, we extend the model to include overtone-synthesized sinusoidal coupling…

Quantum Physics · Physics 2026-05-21 Hiroshi Yamaguchi , Motoki Asano

Quantized charge pumping is a robust adiabatic phenomenon uniquely existing in topologically nontrivial systems. Such topological pumping not only brings fundamental insights to the evolution of states under the protection of topology but…

Applied Physics · Physics 2021-02-10 Ze-Guo Chen , Weiyuan Tang , Ruo-Yang Zhang , Guancong Ma

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

Recent studies indicated that helical organic molecules, such as DNA and $\alpha$-helical protein, can behave as Thouless quantum pumps when a rotating electric field is applied perpendicularly to their helical axes. Here we investigate the…

Mesoscale and Nanoscale Physics · Physics 2020-10-14 Ai-Min Guo , Pei-Jia Hu , Xiao-Hui Gao , Tie-Feng Fang , Qing-Feng Sun

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…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Pedro L. S. Lopes , Pouyan Ghaemi , Shinsei Ryu , Taylor L. Hughes

Topological data analysis is a powerful framework for extracting useful topological information from complex datasets. Recent work has shown its application for the dynamical analysis of classical dissipative systems through a…

Quantum Physics · Physics 2023-04-26 Harvey Cao , Daniel Leykam , Dimitris G. Angelakis

We study a quantum phase transition between a phase which is topologically ordered and one which is not. We focus on a spin model, an extension of the toric code, for which we obtain the exact ground state for all values of the coupling…

Strongly Correlated Electrons · Physics 2009-09-29 C. Castelnovo , C. Chamon

We theoretically propose a quantum simulation scheme for the toric-code Hamiltonian, the paradigmatic model of a quantum spin liquid, based on time-periodic driving. We develop a hybrid continuous-digital strategy that exploits the…

Quantum Physics · Physics 2025-11-04 Francesco Petiziol , Sandro Wimberger , André Eckardt , Florian Mintert

Certain band insulators allow for the adiabatic pumping of quantized charge or spin for special time-dependences of the Hamiltonian. These "topological pumps" are closely related to two dimensional topological insulating phases of matter…

Mesoscale and Nanoscale Physics · Physics 2013-07-31 Dganit Meidan , Tobias Micklitz , Piet W. Brouwer