Interacting topological frequency converter

@article{Krber2020InteractingTF,
  title={Interacting topological frequency converter},
  author={Simon K{\"o}rber and Lorenzo Privitera and Jan Carl Budich and Bjorn Trauzettel},
  journal={Physical Review Research},
  year={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 observable is given by a quantized frequency conversion between the dynamical drives, which is why we coin it the interacting topological frequency converter (ITFC). The ITFC is characterized by the interplay of interaction and synthetic dimension. This gives rise to striking topological phenomena that… 
View PDF on arXiv
7 Citations
Background Citations
2
Methods Citations
1

Figures and Tables from this paper

7 Citations

Photon pumping in a weakly-driven quantum cavity–spin system

Topological dynamics of adiabatic cat states

We consider a qubit topologically coupled to two quantum modes. We show that any initial separable state of this system generically evolves into an adiabatic cat state. Such a state is a…

Topological Two-Dimensional Floquet Lattice on a Single Superconducting Qubit.

This work implements quasiperiodic driving of a single qubit in the IBM Quantum Experience and experimentally realizes a temporal version of the half-Bernevig-Hughes-Zhang Chern insulator, and theoretically study the many-qubit case, and shows that one can implement a wide class of Floquet Hamiltonians, or time-dependent Hamiltonians in general.

Random Multipolar Driving: Tunably Slow Heating through Spectral Engineering.

Despite the absence of periodicity in the drive, and in spite of its eventual heat death, the prethermal regime can host versatile nonequilibrium phases, which is illustrated with a random multipolar discrete time crystal.

Sensing of Arbitrary-Frequency Fields Using a Quantum Mixer

Quantum sensors such as spin defects in diamond have achieved excellent performance by combining high sensitivity with spatial resolution. Unfortunately, these sensors can only detect signal fields…

Localization persisting under aperiodic driving

Hongzheng Zhao,1, 2 Florian Mintert,2 Johannes Knolle,3, 4, 2 and Roderich Moessner1 Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden, Germany Blackett…

Quantum entangled fractional topology and curvatures

Topological spaces have numerous applications for quantum matter with protected chiral edge modes related to an integer-valued Chern number, which also characterizes the global response of a spin-1/2…

References

SHOWING 1-10 OF 104 REFERENCES

Topological energy conversion through the bulk or the boundary of driven systems

Combining physical and synthetic dimensions allows a controllable realization and manipulation of high-dimensional topological states. In our work, we introduce two quasiperiodically driven…

Topological Characterization of Periodically-Driven Quantum Systems

Topological properties of physical systems can lead to robust behaviors that are insensitive to microscopic details. Such topologically robust phenomena are not limited to static systems but can also…

Topological Floquet-Thouless Energy Pump.

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…

Topological superfluid transition induced by a periodically driven optical lattice

We propose a scenario to create a topological superfluid in a periodically driven two-dimensional square optical lattice. We study the phase diagram of a spin-orbit coupled s-wave pairing superfluid…

Floquet-Bloch theory and topology in periodically driven lattices.

It is demonstrated that nonadiabaticity drives a transition from topological invariants defined in D+1 to D dimensions, which has potential applications in topological states of matter and nonadiABatic topological quantum computation, predicting novel outcomes for future experiments.

Topological frequency conversion in strongly driven quantum systems

When a physical system is subjected to a strong external multifrequency drive, its dynamics can be conveniently represented in the multidimensional Floquet lattice. The number of Floquet lattice…

Topological signatures in quantum transport in anomalous Floquet-Anderson insulators

Topological states require the presence of extended bulk states, as usually found in the picture of energy bands and topological states bridging the bulk gaps. But in driven systems this can be…

Periodic table for Floquet topological insulators

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…

Floquet Chiral Magnetic Effect.

A topological classification of Floquet unitary operators in the Altland-Zirnbauer symmetry classes for all dimensions is given, and it is used to predict that all gapless surface states of topological insulators and superconductors can emerge in bulk quasienergy spectra ofFloquet systems.

Floquet topological phases with symmetry in all dimensions

Periodically driven Floquet systems can host dynamical phases, including a range of exotic topological phases that have no static analogs. This work presents a homotopy approach to the study of…
...