• Corpus ID: 245669125

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

@inproceedings{Mostaan2021QuantizedTO,
  title={Quantized transport of solitons in nonlinear Thouless pumps: From Wannier drags to ultracold topological mixtures},
  author={Nader Mostaan and Fabian Grusdt and Nathan Goldman},
  year={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 München, Germany Munich Center for Quantum Science and Technology (MCQST), Schellingstr. 4, D-80799 München, Germany CENOLI, Université Libre de Bruxelles, CP 231, Campus Plaine, B-1050 Brussels, Belgium (Dated: January 5, 2022) 

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References

SHOWING 1-10 OF 65 REFERENCES
The Chern Number Governs Soliton Motion in Nonlinear Thouless Pumps
Nonlinear Thouless pumps for bosons exhibit quantized pumping via soliton motion, despite the lack of a meaningful notion of filled bands. However, the theoretical underpinning of this quantization,
Quantized nonlinear Thouless pumping.
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
Topological gap solitons in a 1D non-Hermitian lattice
Nonlinear topological photonics is an emerging field aiming at extending the fascinating properties of topological states to the realm where interactions between the system constituents cannot be
Creation and mobility of discrete solitons in Bose-Einstein condensates
We analyze the generation and mobility of discrete solitons in Bose-Einstein condensates confined in an optical lattice under realistic experimental conditions. We discuss first the creation of
Tracing non-Abelian anyons via impurity particles
Niccolò Baldelli, Bruno Juliá-Dı́az, 3 Utso Bhattacharya, 4 Maciej Lewenstein, 5 and Tobias Graß ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860
Topological pumping over a photonic Fibonacci quasicrystal
Quasiperiodic lattices have recently been shown to be a non-trivial topological phase of matter. Charge pumping -- one of the hallmarks of topological states of matter -- was recently realized for
Formation and propagation of matter-wave soliton trains
TLDR
The formation of bright solitons of 7Li atoms in a quasi-one-dimensional optical trap is reported, by magnetically tuning the interactions in a stable Bose–Einstein condensate from repulsive to attractive.
Topological Thouless pumping of ultracold fermions
Charge transport in a cyclically time-modulated periodic potential, also known as a topological Thouless pump, has been realized in an ultracold gas of fermionic atoms. An electron gas in a
Peierls-Nabarro potential barrier for highly localized nonlinear modes.
  • Kivshar, Campbell
  • Physics, Medicine
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 1993
TLDR
It is shown that the discreteness effects may be understood in the «standard» discrete NLS model as arising from an effective periodic potential similar to the Peierls-Nabarro (PN) barrier potential for kinks in the Frenkel-Kontorova model.
Measuring quantized circular dichroism in ultracold topological matter
The topology of two-dimensional materials traditionally manifests itself through the quantization of the Hall conductance, which is revealed in transport measurements1–3. Recently, it was predicted
...
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3
4
5
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