# Breakdown of quantisation in a Hubbard-Thouless pump

@inproceedings{Walter2022BreakdownOQ, title={Breakdown of quantisation in a Hubbard-Thouless pump}, author={Anne Walter and Zijie Zhu and Marius Gachter and Joaqu'in Minguzzi and Stephan Roschinski and Kilian Sandholzer and Konrad Viebahn and Tilman Esslinger}, year={2022} }

fate of transport in the on the role of geometry in

## References

SHOWING 1-10 OF 42 REFERENCES

Observation of topological transport quantization by dissipation in fast Thouless pumps

- Physics2020 Conference on Lasers and Electro-Optics (CLEO)
- 2020

It is demonstrated both theoretically and experimentally that using time-periodic dissipation Thouless pumping can be restored outside of the adiabatic limit.

A Thouless quantum pump with ultracold bosonic atoms in an optical superlattice

- Physics
- 2016

Thouless introduced the idea of a topological charge pump: the quantized motion of charge due to the slow cyclic variation of a periodic potential. This topologically protected transport has now been…

Quantised adiabatic charge transport in the presence of substrate disorder and many-body interaction

- Physics
- 1984

The result for the quantised charge transport induced by an adiabatically varying substrate potential is generalised to the case in which both substrate disorder and many-body interaction are…

Relaxation dynamics of a Fermi gas in an optical superlattice.

- PhysicsPhysical review letters
- 2014

This Letter comprises an experimental and theoretical investigation of the time evolution of a Fermi gas following fast and slow quenches of a one-dimensional optical double-well superlattice…

Two-Dimensional Magnetotransport in the Extreme Quantum Limit

- Physics
- 1982

A quantized Hall plateau of ρxy=3he2, accompanied by a minimum in ρxx, was observed at T<5 K in magnetotransport of high-mobility, two-dimensional electrons, when the lowest-energy, spin-polarized…

Quantized pumping and topology of the phase diagram for a system of interacting bosons.

- PhysicsPhysical review letters
- 2011

It is shown that encircling this critical point adiabatically pumps one boson across the system, which leads to strict constraints on the topology of the phase diagram of systems of quasi-one-dimensional interacting bosons.

Breakdown of topological Thouless pumping in the strongly interacting regime

- PhysicsPhysical Review B
- 2018

We elucidate the mechanism for instability of topological Thouless pumping in strongly interacting systems from a viewpoint of symmetry-protected topological phases. If the protecting symmetries of…

Quantum-Mechanical Position Operator in Extended Systems

- Physics
- 1998

The position operator (defined within the Schroedinger representation in the standard way) becomes meaningless when periodic boundary conditions are adopted for the wavefunction, as usual in…

Colloquium : Zoo of quantum-topological phases of matter

- Physics
- 2017

The subject of this Colloquium is related to the topic of the 2016 Physics Nobel Prize that was awarded to David J. Thouless, F. Duncan M. Haldane, and J. Michael Kosterlitz ``for theoretical…

Fractional quantization of the topological charge pumping in a one-dimensional superlattice

- Physics
- 2015

A one-dimensional quantum charge pump transfers a quantized charge in each pumping cycle. This quantization is topologically robust being analogous to the quantum Hall effect. The charge transferred…