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Thouless pumping enables the transport of particles in a one-dimensional periodic potential if the potential is slowly and periodically modulated in time. The change in the position of particles after each modulation period is quantized and…

Quantum Gases · Physics 2024-12-23 Ali Emami Kopaei , Krzysztof Giergiel , Krzysztof Sacha

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…

Mesoscale and Nanoscale Physics · Physics 2024-10-01 Carlo Danieli , Valentina Brosco , Laura Pilozzi , Roberta Citro

Recent progress in synthetic lattice systems has opened the door to novel explorations of topological matter. In particular, photonic devices and ultracold matter waves offer the unique possibility of studying the rich interplay between…

Mesoscale and Nanoscale Physics · Physics 2022-01-05 Nader Mostaan , Fabian Grusdt , Nathan Goldman

The effect of multiplicative white noise on the resonance capture in non-isochronous systems with time-decaying pumping is investigated. It is assumed that the intensity of perturbations decays with time, and its frequency is asymptotically…

Dynamical Systems · Mathematics 2025-03-11 Oskar A. Sultanov

Here we show that noisy coupling can lead to diffusive lossless energy transfer between individual quantum systems retaining a quantum character leading to entangled stationary states. Coherence might flow diffusively while being summarily…

Quantum Physics · Physics 2016-08-16 D. Mogilevtsev , G. Ya. Slepyan

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.…

Nonlinear dynamics have long been exploited in order to damp vibrations in solid mechanics. The phenomenon of irreversible energy transfer from a linear primary system to a nonlinear absorber has driven great attention to the optimal design…

Topological phases are robust against weak perturbations, but break down when disorder becomes sufficiently strong. However, moderate disorder can also induce topologically nontrivial phases. Thouless pumping, as a (1+1)D counterpart of the…

Different proposals for adiabatic quantum motors (AQMs) driven by DC currents have recently attracted considerable interest. However, the systems studied are often based on simplified models with highly ideal conditions where the…

Mesoscale and Nanoscale Physics · Physics 2017-04-12 Lucas J. Fernández-Alcázar , Horacio M. Pastawski , Raúl A. Bustos-Marún

The nonlinear Thouless pumping is an exciting frontier of topological physics. While recent works have revealed the quantized motion of solitons in Thouless pumps, the interplay between the topology, nonlinearity and disorder remains…

Quantum Gases · Physics 2024-07-19 Xuzhen Cao , Chunyu Jia , Ying Hu , Zhaoxin Liang

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

We investigate current-current correlations of adiabatic charge pumping through interacting quantum dots weakly coupled to reservoirs. To calculate the zero-frequency noise for a time-dependently driven system, possibly in the presence of…

Mesoscale and Nanoscale Physics · Physics 2013-06-05 Roman-Pascal Riwar , Janine Splettstoesser , Jürgen König

As the basis for generating multi-particle quantum correlations, inter-particle interaction plays a crucial role in collective quantum phenomena, quantum phase transitions, and quantum information processing. It can profoundly alter the…

In this article, we briefly review dynamical and thermodynamical aspects of different forms of quantum motors and quantum pumps. We then extend previous results to provide new theoretical tools for a systematic study of those phenomena at…

Mesoscale and Nanoscale Physics · Physics 2019-08-26 Raúl A. Bustos-Marún , Hernan L. Calvo

We discuss the statistical correlation properties of currents and energy flows generated by an adiabatic quantum pump. Our approach emphasizes the important role of quantized energy exchange between the sea of electrons and the oscillating…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Moskalets , M. Buttiker

Introduced by David Thouless in 1983, Thouless pumping exemplifies topological properties in topological systems, where the transported charge is quantized by the Chern number. Recently, returning Thouless pumping was theoretically…

Mesoscale and Nanoscale Physics · Physics 2025-05-13 Zheyu Cheng , Sijie Yue , Yang Long , Wentao Xie , Zixuan Yu , Hau Tian Teo , Y. X. Zhao , Haoran Xue , Baile Zhang

The non-Markovian nature of quantum systems recently turned to be a key subject for investigations on open quantum system dynamics. Many studies, from its theoretical grounding to its usefulness as a resource for quantum information…

Thouless charge pumps are quantum mechanical devices whose operation relies on topology. They provide the means for transporting quantum matter in space lattices with a single quantum precision. Contrasting space crystals that spontaneously…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 Tapio Simula , Niels Kjærgaard , Tilman Pfau

By means of time-dependent density matrix renormalization group calculations we study topological quantum pumping in a strongly interacting system. The system under consideration is described by the Hamiltonian of a one-dimensional extended…

Strongly Correlated Electrons · Physics 2013-02-26 Davide Rossini , Marco Gibertini , Vittorio Giovannetti , Rosario Fazio

We investigate quantum effects in pattern-formation for a degenerate optical parametric oscillator with walk-off. This device has a convective regime in which macroscopic patterns are both initiated and sustained by quantum noise. Familiar…

Quantum Physics · Physics 2009-11-07 Roberta Zambrini , Stephen M. Barnett , Pere Colet , Maxi San Miguel