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Thouless pump with quantized transports is topologically robust against small perturbations and disorders, while breaks down under sufficiently strong disorders. Here we propose counter-intuitive topological pumps induced by disorders in…

Quantum Gases · Physics 2025-05-29 Yi-Piao Wu , Ling-Zhi Tang , Guo-Qing Zhang , Dan-Wei Zhang

We show how to implement topological or Thouless pumping of interacting photons in one dimensional nonlinear resonator arrays, by simply modulating the frequency of the resonators periodically in space and time. The interplay between…

Thouless pumps are time-periodic one-dimensional systems that capture the physics of the two-dimensional quantum Hall effect via the quantized pumping of particles under adiabatic modulation. Recent work in photonics has shown that…

Pattern Formation and Solitons · Physics 2025-02-21 Marius Jürgensen , Mikael C. Rechtsman

One-dimensional topological pumping of matter waves in two overlaid optical lattices moving with respect to each other is considered in the presence of attractive nonlinearity. It is shown that there exists a threshold nonlinearity level…

Pattern Formation and Solitons · Physics 2022-04-27 Qidong Fu , Peng Wang , Yaroslav V. Kartashov , Vladimir V. Konotop , Fangwei Ye

Thouless pumping is a paradigmatic example of topologically protected, directed transport in linear systems. Recent extensions to nonlinear pumps often overlook the need to reassess the conventional framework of linear topology. In this…

Mesoscale and Nanoscale Physics · Physics 2025-08-19 Markus Bestler , Oded Zilberberg

High-order topological phases of matter refer to the systems of $n$-dimensional bulk with the topology of $m$-th order, exhibiting $(n-m)$-dimensional boundary modes and can be characterized by topological pumping. Here, we experimentally…

We present a method for quantum entanglement distribution over a so-called code-division-multiple-access network, in which two pairs of users share the same quantum channel to transmit information. The main idea of this method is to use…

Quantum Physics · Physics 2015-11-04 Chang-long Zhu , Nan Yang , Yu-xi Liu , Franco Nori , Jing Zhang

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,…

Recent experiments with ultracold quantum gases have successfully realized integer-quantized topological charge pumping in optical lattices. Motivated by this progress, we study the effects of static disorder on topological Thouless charge…

Quantum Gases · Physics 2021-05-03 A. L. C. Hayward , E. Bertok , U. Schneider , F. Heidrich-Meisner

Particle transport and localization phenomena in condensed-matter systems can be modeled using a tight-binding lattice Hamiltonian. The ideal experimental emulation of such a model utilizes simultaneous, high-fidelity control and readout of…

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

We theoretically study the transport of time-bin entangled photon pairs in a two-dimensional topological photonic system of coupled ring resonators. This system implements the integer quantum Hall model using a synthetic gauge field and…

Optics · Physics 2016-08-02 Sunil Mittal , Venkata Vikram Orre , Mohammad Hafezi

We study soliton Thouless pumping in an extended diagonal Aubry-Andr\'e-Harper model with on-site nonlinearities and inter-site nonlinearities. We show that the inter-site nonlinearities can make solitons acquire anomalous transport…

Pattern Formation and Solitons · Physics 2026-01-06 Tao Jiang , Li-Chen Zhao

The exploitation of quantum coherence at the level of propagation represents a powerful paradigm for quantum communication networks. In this work, we show that the coherent superposition of spatially distinct communication links enables…

Quantum Physics · Physics 2026-05-14 Claudio Pellitteri , Rajiuddin Sk , Marcello Caleffi , Angela Sara Cacciapuoti

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

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…

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.…

Entangled multiphoton states lie at the heart of quantum information, computing, and communications. In recent years, topology has risen as a new avenue to robustly transport quantum states in the presence of fabrication defects, disorder…

We explain how centrosymmetry, together with a dominant doublet in the local density of states, can guarantee interference-assisted, strongly enhanced, strictly coherent quantum excitation transport between two predefined sites of a random…

Quantum Physics · Physics 2015-05-04 Mattia Walschaers , Roberto Mulet , Thomas Wellens , Andreas Buchleitner

One of the hallmarks of topological systems is the robust quantization of particle transport. It is the origin of the integer-valued quantum Hall conductivity and a potential tool for quantum information technology. Recent experiments on…

Mesoscale and Nanoscale Physics · Physics 2026-03-02 Julius Bohm , Hugo Gerlitz , Christina Jörg , Michael Fleischhauer