# Topological Floquet-Thouless Energy Pump.

@article{Kolodrubetz2018TopologicalFE, title={Topological Floquet-Thouless Energy Pump.}, author={Michael H. Kolodrubetz and Frederik Nathan and Snir Gazit and Takahiro Morimoto and Joel E Moore}, journal={Physical review letters}, year={2018}, volume={120 15}, pages={ 150601 } }

We explore adiabatic pumping in the presence of a periodic drive, finding a new phase in which the topologically quantized pumped quantity is energy rather than charge. The topological invariant is given by the winding number of the micromotion with respect to time within each cycle, momentum, and adiabatic tuning parameter. We show numerically that this pump is highly robust against both disorder and interactions, breaking down at large values of either in a manner identical to the Thouless…

## 34 Citations

An ideal rapid-cycle Thouless pump

- Physics
- 2021

A non-contractible adiabatic cycle performed in the parameter space of a one-dimensional band insulator is known to result in a noise-free transfer of an integral multiple of charge across the length…

Localization, Topology, and Quantized Transport in Disordered Floquet Systems.

- Physics, MedicinePhysical review letters
- 2019

It is shown that, while instantaneous eigenstates are necessarily Anderson localized, the periodic driving plays a fundamental role in delocalizing Floquet states over the whole system, henceforth allowing for a steady-state nearly quantized current.

Heat pumping from braiding Majorana zero modes

- PhysicsPhysical Review B
- 2019

Majorana zero modes are non-Abelian quasiparticles that emerge on the edges of topological phases of superconductors. Evidence of their presence has been reported in transport measurements on…

Dimensional Crossover of the Integer Quantum Hall Plateau Transition and Disordered Topological Pumping.

- Physics, MedicinePhysical review letters
- 2020

The quantum Hall plateau transition on rectangular tori is studied and the crossover between the one- and two-dimensional regimes for finite torus thickness is characterized, where the average Thouless conductance also shows anomalous scaling.

Interacting topological frequency converter

- Physics
- 2020

We show that an interacting two-spin model subjected to two circularly polarized drives enables a feasible realization of a correlated topological phase in synthetic dimensions. The topological…

Robust temporal pumping in a magneto-mechanical topological insulator

- Physics, MedicineNature Communications
- 2020

A temporal topological pump that produces on-demand, robust transport of mechanical energy using a one-dimensional magneto-mechanical metamaterial is demonstrated and opens a path towards exploration of higher-dimensional topological physics with time as a synthetic dimension.

Floquet Hopf Insulators.

- Physics, MedicinePhysical review letters
- 2019

It is predicted the existence of a Floquet topological insulator in three-dimensional two-band systems, the Floquet Hopf insulator, which possesses two distinct topological invariants, which represents a condensed matter realization of the topology underlying the Witten anomaly in particle physics.

Dispersion-suppressed topological Thouless pumping

- PhysicsPhysical Review B
- 2019

In Thouless pumping, although non-flat band has no effects on the quantization of particle transport, it induces wave-packet dispersion which hinders the practical applications of Thouless pumping.…

Hierarchy of many-body invariants and quantized magnetization in anomalous Floquet insulators

- PhysicsSciPost Physics
- 2021

We uncover a new family of few-body topological phases in periodically driven fermionic systems in two dimensions.
These phases, which we term correlation-induced anomalous Floquet insulators…

Effective vacua for Floquet topological phases: A numerical perspective on switch function formalism

- Physics, Mathematics
- 2018

We propose a general edge index definition for two-dimensional Floquet topological phases, not relying on space-translation invariance and based on a switch function formalism. When the Floquet…

## References

SHOWING 1-10 OF 123 REFERENCES

Topological Thouless pumping of ultracold fermions

- Physics
- 2016

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…

Anomalous Floquet-Anderson Insulator as a Nonadiabatic Quantized Charge Pump

- Physics
- 2015

We show that two-dimensional periodically driven quantum systems with spatial disorder admit a unique topological phase, which we call the anomalous Floquet-Anderson insulator (AFAI). The AFAI is…

Radical chiral Floquet phases in a periodically driven Kitaev model and beyond

- Physics
- 2017

Chiral topological phases, like quantum Hall states, are characterized by anomalous unidirectional edge transport arising from a nontrivial insulating bulk. Recent developments suggest that they can…

Quantized adiabatic transport in momentum space.

- Physics, MedicinePhysical review letters
- 2012

A class of extended Floquet bands of one-dimensional driven quantum systems are characterized by Chern numbers, reveal topological phase transitions therein, and theoretically predict the quantization of adiabatic transport in momentum space.

Quantum charge pumping and electric polarization in Anderson insulators

- Physics
- 2007

We investigate adiabatic charge pumping in disordered system in one dimension with open and closed boundary conditions. In contrast to the Thouless charge pumping, the system has no gap even though…

Floquet fractional Chern insulators.

- Mathematics, MedicinePhysical review letters
- 2014

It is shown theoretically that periodically driven systems with short range Hubbard interactions offer a feasible platform to experimentally realize fractional Chern insulator states and an example of the spontaneous breaking of a continuous symmetry along with a topological phase transition is shown.

Quantized Magnetization Density in Periodically Driven Systems.

- Physics, MedicinePhysical review letters
- 2017

It is established that the topological index of this phase can be accessed directly in bulk measurements, and proposed an experimental protocol to do so using interferometry in cold-atom-based realizations.

Periodic table for Floquet topological insulators

- Physics
- 2017

Periodically driven systems have recently been shown to host topological phases that are inherently dynamical in character, opening up a new arena in which to explore topological physics. One…

Phase Structure of Driven Quantum Systems.

- Physics, MedicinePhysical review letters
- 2016

It is shown that their disordered Floquet many-body localized counterparts can exhibit distinct ordered phases delineated by sharp transitions, and these are analogs of equilibrium states with broken symmetries and topological order.

Geometrical Pumping with a Bose-Einstein Condensate.

- Physics, MedicinePhysical review letters
- 2016

This work realized a quantum geometric "charge" pump for a Bose-Einstein condensate (BEC) in the lowest Bloch band of a novel bipartite magnetic lattice and observed an overall displacement and a temporal modulation of the atomic wave packet's position in each unit cell, i.e., the polarization.