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Related papers: Topological charge pumping in a one-dimensional op…

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The active manipulation of topologically protected states represents a pivotal frontier for quantum technologies, offering a unique confluence of topological robustness and precise quantum control. We propose an adiabatic pumping scheme for…

Quantum Physics · Physics 2025-12-01 Yang Peng , Rui-Shan Li , Yan-Jue Lv , Yi Zheng

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…

Mesoscale and Nanoscale Physics · Physics 2020-05-13 Gudapati Naresh Raghava , Longwen Zhou , Jiangbin Gong

The topological charge is studied on lattices of large physical volume and fine lattice spacing. We illustrate how a parity transformation on the SU(3) link-variables of lattice gauge configurations reverses the sign of the topological…

High Energy Physics - Lattice · Physics 2010-03-04 Derek B. Leinweber , Anthony G. Williams , Jian-bo Zhang , Frank X. Lee

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 propose the realization of topological quantum states with cold atoms trapped in an optical lattice. We discuss an experimental setup that generates a two-dimensional hexagonal lattice in the presence of a light-induced periodic vector…

Mesoscale and Nanoscale Physics · Physics 2009-07-21 Tudor D. Stanescu , Victor Galitski , J. Y. Vaishnav , Charles W. Clark , S. Das Sarma

We present an economical dynamical control scheme to perform quantum computation on a one dimensional optical lattice, where each atom encodes one qubit. The model is based on atom tunneling transitions between neighboring sites of the…

Quantum Physics · Physics 2009-11-10 Jiannis Pachos , Peter L. Knight

We explore adiabatic pumping in the presence of periodic drive, finding a new phase in which the topologically quantized pumped quantity is energy rather than charge. The topological invariant is given by the winding number of the…

We study a Thouless pump realized with an elastically \textit{deformable quantum dot} whose center of mass follows a non-linear stochastic dynamics. The interplay of noise, non-linear effects, dissipation and interaction with an external…

Mesoscale and Nanoscale Physics · Physics 2015-11-26 C. A. Perroni , F. Romeo , A. Nocera , V. Marigliano Ramaglia , R. Citro , V. Cataudella

We consider transport properties of a two dimensional topological insulator in a double quantum point contact geometry in presence of a time-dependent external field. In the proposed setup an external gate is placed above a single…

Mesoscale and Nanoscale Physics · Physics 2017-03-15 F. Ronetti , M. Carrega , D. Ferraro , J. Rech , T. Jonckheere , T. Martin , M. Sassetti

Recently it has been proposed and experimentally demonstrated that a spin-orbit coupled multi-component gas in 1d lattice can be viewed as spinless gas in a synthetic 2d lattice with a magnetic flux. In this letter we consider interaction…

Quantum Gases · Physics 2015-09-02 Tian-Sheng Zeng , Ce Wang , Hui Zhai

Identifying novel topological properties of topological quantum states of matter, such as exemplified by the quantized Hall conductance, is a valuable step towards realizing materials with attractive topological attributes that guarantee…

Mesoscale and Nanoscale Physics · Physics 2023-05-17 Guodong Jiang , YingKang Chen , Srividya Iyer-Biswas , Rudro R Biswas

The Thouless theory of quantum pumps establishes the conditions for quantized particle transport per cycle, and determines its value. When describing the pump from a moving reference frame, transported and existing charges transform, though…

Mathematical Physics · Physics 2025-04-15 Tilman Esslinger , Gian Michele Graf , Filippo Santi

We describe a novel mechanism for charge pumping through tunnel-coupled quantum dots in the regime of strong Coulomb blockade. The quantum state of an additional electron within the structure is steered by changing the tunneling couplings…

Condensed Matter · Physics 2009-11-07 F. Renzoni , T. Brandes

The quantum Hall effect is a fascinating electrical transport phenomenon signified by precise quantization of Hall conductivity $\sigma_\mathrm{xy}$ and vanishing longitudinal conductivity $\sigma_\mathrm{xx}$. Laughlin proposed an elegant…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Renfei Wang , Xiao Liu , Adbhut Gupta , Kirk W. Baldwin , Loren Pfeiffer , Wenfeng Zhang , Rui-Rui Du , Mansour Shayegan , Xi Lin , Ying-Hai Wu , Yang Liu

Topological pumps offer a promising route to operate as connecting buses, supplying efficient and robust connectivity between non-neighboring elements in a network. Here, we investigate a finite quasiperiodic Fibonacci-type photonic chain…

Mesoscale and Nanoscale Physics · Physics 2026-05-14 Arnob Kumar Ghosh , Ang Chen , Ashraf El Hassan , Patric Holmvall , Mohamed Bourennane , Annica M. Black-Schaffer

The realization of artificial gauge fields in ultracold atomic gases has opened up a path towards experimental studies of topological insulators and, as an ultimate goal, topological quantum matter in many-body systems. As an alternative to…

Strongly Correlated Electrons · Physics 2020-10-29 Leo Stenzel , Andrew L. C. Hayward , Claudius Hubig , Ulrich Schollwöck , Fabian Heidrich-Meisner

We find an optical Raman lattice without spin-orbit coupling showing chiral topological orders for cold atoms. Two incident plane-wave lasers are applied to generate simultaneously a double-well square lattice and periodic Raman couplings,…

Strongly Correlated Electrons · Physics 2016-03-08 Xiong-Jun Liu , Zheng-Xin Liu , K. T. Law , W. Vincent Liu , T. K. Ng

We formulate a quantum coherent state picture for topological and non-topological solitons. We recognize that the topological charge arises from the infinite occupation number of zero momentum quanta flowing in one direction. Thus, the…

High Energy Physics - Theory · Physics 2015-11-17 Gia Dvali , Cesar Gomez , Lukas Gruending , Tehseen Rug

Non-Abelian gauge symmetries are cornerstones of modern theoretical physics, underlying fundamental interactions and the geometric structure of quantum mechanics. However, their potential to control quantum coherence, entangle- ment, and…

Mesoscale and Nanoscale Physics · Physics 2025-10-21 Carlo Danieli , Laura Pilozzi , Claudio Conti , Valentina Brosco

We consider the adiabatic pumping of charge through a mesoscopic one dimensional wire in the presence of electron-electron interactions. A two-delta potential model is used to describe the wire, which allows to obtain exactly the scattering…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Pierre Devillard , Vladimir Gasparian , Thierry Martin