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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…

Pattern Formation and Solitons · Physics 2022-10-26 Qidong Fu , Peng Wang , Yaroslav V. Kartashov , Vladimir V. Konotop , Fangwei Ye

In this article, we develop a description of topological pumps as slow classical dynamical variables coupled by a quantum system. We discuss the cases of quantum Hall pumps, Thouless pumps, and the more recent Floquet pumps based frequency…

Mesoscale and Nanoscale Physics · Physics 2022-03-04 Jacquelin Luneau , Clément Dutreix , Quentin Ficheux , Pierre Delplace , Benoît Douçot , Benjamin Huard , David Carpentier

Recent studies have shown that a soliton can be {\it fractionally} transported by slowly varying a system parameter over one period in a nonlinear system. This phenomenon is attributed to the nontrivial topology of the corresponding energy…

Pattern Formation and Solitons · Physics 2025-02-11 Yu-Liang Tao , Yongping Zhang , Yong Xu

Quantized charge pumping in one-dimensional chiral wires has been widely studied in the context of topological physics in a (1+1)-dimensional synthetic space, yet the role of orbital and spin degrees of freedom in such topological pumps…

Mesoscale and Nanoscale Physics · Physics 2025-12-25 Esmaeil Taghizadeh Sisakht , Uiseok Jeong , Xiao jiang , Jinseok Oh , Yizhou Liu , Binghai Yan , Noejung Park

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…

Quantum Physics · Physics 2024-10-02 Mathias B. M. Svendsen , Marcel Cech , Max Schemmer , Beatriz Olmos

Chains of Rydberg atoms have emerged as a powerful platform for exploring low-dimensional quantum physics. This success originates from the precise control of lattice geometries provided by optical tweezers, which allows access to a wide…

Strongly Correlated Electrons · Physics 2026-04-21 Jose Soto-Garcia , Natalia Chepiga

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…

Mesoscale and Nanoscale Physics · Physics 2022-05-24 Wladimir A. Benalcazar , Jiho Noh , Mohan Wang , Sheng Huang , Kevin P. Chen , Mikael C. Rechtsman

Particle-particle interaction provides a new degree of freedom to induce novel topological phenomena. Here, we propose to use spatiotemporal modulation of interaction to realize topological pumping without single-particle counterpart.…

Mesoscale and Nanoscale Physics · Physics 2024-10-28 Boning Huang , Yongguan Ke , Wenjie Liu , Chaohong Lee

We demonstrate that linear and nonlinear Thouless pumping can be realized in two-component elongated Bose-Einstein condensates using helicoidal spin-orbit coupling that slides with respect to a static optical lattice, identical for both…

Quantum Gases · Physics 2026-04-06 Yaroslav V. Kartashov , Vladimir V. Konotop , Dmitry A. Zezyulin

Thouless's quantum adiabatic pumping is of fundamental interest to condensed-matter physics. It originally considered a zero-temperature equilibrium state uniformly occupying all the bands below a Fermi surface. In the light of recent…

Quantum Physics · Physics 2015-12-16 Longwen Zhou , Da Yang Tan , Jiangbin Gong

Arrays of Rydberg atoms constitute a highly tunable, strongly interacting venue for the pursuit of exotic states of matter. We develop a new strategy for accessing a family of fractionalized phases known as quantum spin liquids in…

Strongly Correlated Electrons · Physics 2022-10-05 Kevin Slagle , Yue Liu , David Aasen , Hannes Pichler , Roger S. K. Mong , Xie Chen , Manuel Endres , Jason Alicea

Single atoms in dipole microtraps or optical tweezers have recently become a promising platform for quantum computing and simulation. Here we report a detailed theoretical analysis of the physics underlying an implementation of a Rydberg…

Quantum transport in a one-dimensional (1D) quasiperiodic lattice with mobility edges is explored. We first investigate the adiabatic pumping between left and right edge modes by resorting to two edge-bulk-edge channels and demonstrate that…

Quantum Physics · Physics 2022-06-22 Yan Xing , Lu Qi , Xuedong Zhao , Zhe Lü , Shutian Liu , Shou Zhang , Hong-Fu Wang

Nonadiabatic Thouless pumping of electrons is studied within the framework of topological Floquet engineering, particularly focused on how atomic lattice dynamics affect the emergent Floquet topological phase in trans-polyacetylene under…

Materials Science · Physics 2025-06-16 Ruiyi Zhou , Yosuke Kanai

Robustness against perturbations lies at the heart of topological phenomena. If, however, a perturbation such as disorder becomes dominant, it may cause a topological phase transition between topologically non-trivial and trivial phases.…

We analyze a quantized pumping in a nonlinear non-Hermitian photonic system with nonadiabatic driving. The photonic system is made of a waveguide array, where the distances between adjacent waveguides are modulated. It is described by the…

Mesoscale and Nanoscale Physics · Physics 2024-09-10 Motohiko Ezawa , Natsuko Ishida , Yasutomo Ota , Satoshi Iwamoto

It has recently been theoretically predicted and experimentally observed that a soliton resulting from nonlinearity can be pumped across an integer or fractional number of unit cells as a system parameter is slowly varied over a pump…

Pattern Formation and Solitons · Physics 2026-01-21 Yu-Liang Tao , Jiong-Hao Wang , Yong Xu

Circular Rydberg atoms (CRAs), i.e., Rydberg atoms with maximal orbital momentum, ideally combine long coherence times and strong interactions, a key property of quantum systems, in particular for the development of quantum technologies.…

We investigate the Rice-Mele model with on-cell Kerr-type nonlinearities, where the interaction depends on the total particle number within each unit cell rather than on individual sites. This interaction enables a nontrivial interplay…

Strongly Correlated Electrons · Physics 2026-03-11 Zhe Wang , Xi-Wang Luo , Bo-Ye Sun , Zheng-Wei Zhou

We study topological features of interacting spin- 1 2 particles in one-dimensional state-dependent optical lattices. Due to the co-translational symmetry, we introduce the center-of-mass Zak phase with the help of center-of-mass momentum.…

Mesoscale and Nanoscale Physics · Physics 2020-03-04 Ling Lin , Yongguan Ke , Chaohong Lee