# Quantized nonlinear Thouless pumping.

@article{Jrgensen2021QuantizedNT, title={Quantized nonlinear Thouless pumping.}, author={Marius J{\"u}rgensen and Sebabrata Mukherjee and Mikael C. Rechtsman}, journal={Nature}, year={2021}, volume={596 7870}, pages={ 63-67 } }

The topological protection of wave transport, originally observed in the context of the quantum Hall effect in two-dimensional electron gases1, has been shown to apply broadly to a range of physical platforms, including photonics2-5, ultracold atoms in optical lattices6-8 and others9-12. That said, the behaviour of such systems can be very different from the electronic case, particularly when interparticle interactions or nonlinearity play a major role13-22. A Thouless pump23 is a one…

## 15 Citations

Quantized Fractional Thouless Pumping of Solitons

- Physics
- 2022

In many contexts, the interaction between particles gives rise to emergent and perhaps unanticipated physical phenomena. An example is the fractional quantum Hall effect, where interaction between…

Nonlinear Thouless Pumping: Solitons and Transport Breakdown.

- Physics, EducationPhysical review letters
- 2022

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…

Nonparaxiality-triggered Landau-Zener transition in topological photonic waveguides

- Physics, Education
- 2022

Photonic lattices have been widely used for simulating quantum physics, ow-ing to the similar evolutions of paraxial waves and quantum particles. However, nonparaxial wave propagations in photonic…

Quantized transport of solitons in nonlinear Thouless pumps: From Wannier drags to ultracold topological mixtures

- Physics
- 2021

N. Mostaan, 2, 3, ∗ F. Grusdt, 2 and N. Goldman † Department of Physics and Arnold Sommerfeld Center for Theoretical Physics (ASC), Ludwig-Maximilians-Universität München, Theresienstr. 37, D-80333…

Quantum emulation of topological magneto-optical effects using ultracold atoms

- Physicsnpj Quantum Information
- 2022

Magneto-optical effect is a fundamental but broad concept in magnetic mediums. Here we propose a scheme for its quantum emulation using ultracold atoms. By representing the light-medium interaction…

Quantized transport of solitons in nonlinear Thouless pumps: From Wannier drags to topological polarons

- Physics
- 2021

N. Mostaan, 2, 3, ∗ F. Grusdt, 2 and N. Goldman † Department of Physics and Arnold Sommerfeld Center for Theoretical Physics (ASC), Ludwig-Maximilians-Universität München, Theresienstr. 37, D-80333…

Optical Thouless pumping transport and nonlinear switching in a topological low-dimensional discrete nematic liquid crystal array

- PhysicsPhysical Review A
- 2022

Pawel S. Jung, 2, ∗ Midya Parto, Georgios G. Pyrialakos, Hadiseh Nasari, Katarzyna Rutkowska, Marek Trippenbach, Mercedeh Khajavikhan, 5 Wieslaw Krolikowski, and Demetrios N. Christodoulides CREOL,…

Topologically protected second harmonic generation via doubly resonant high-order photonic modes

- PhysicsPhysical Review B
- 2021

Topology-driven nonlinear light-matter effects open up new paradigms for both topological photonics and nonlinear optics. Here, we propose to achieve high-efficiency second harmonic generation in a…

Universal transport in periodically driven systems without long-lived quasiparticles

- Physics
- 2022

Iliya Esin, Clemens Kuhlenkamp, 3, 4 Gil Refael, 5 Erez Berg, Mark S. Rudner, and Netanel H. Lindner Department of Physics, California Institute of Technology, Pasadena, CA 91125, USA Department of…

Topological power pumping in quantum circuits

- PhysicsPhysical Review Research
- 2022

J. Luneau, ∗ C. Dutreix, Q. Ficheux, P. Delplace, B. Douçot, B. Huard, and D. Carpentier ENS de Lyon, CNRS, Laboratoire de Physique, F-69342 Lyon, France Univ. Bordeaux, CNRS, LOMA, UMR 5798, F-33405…

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