# Floquet-engineering of nodal rings and nodal spheres and their characterization using the quantum metric

@article{Salerno2019FloquetengineeringON, title={Floquet-engineering of nodal rings and nodal spheres and their characterization using the quantum metric}, author={Grazia Salerno and Nathan Goldman and Giandomenico Palumbo}, journal={arXiv: Mesoscale and Nanoscale Physics}, year={2019} }

Semimetals exhibiting nodal lines or nodal surfaces represent a novel class of topological states of matter. While conventional Weyl semimetals exhibit momentum-space Dirac monopoles, these more exotic semimetals can feature unusual topological defects that are analogous to extended monopoles. In this work, we describe a scheme by which nodal rings and nodal spheres can be realized in synthetic quantum matter through well-defined periodic-driving protocols. As a central result of our work, we…

## 7 Citations

Relating the topology of Dirac Hamiltonians to quantum geometry: When the quantum metric dictates Chern numbers and winding numbers

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Quantum geometry has emerged as a central and ubiquitous concept in quantum sciences, with direct consequences on quantum metrology and many-body quantum physics. In this context, two fundamental…

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Wang et al. (2) realized Weyl-type band structures for ultracold atoms with a high degree of control and tunability and paves the way for the exploration of the properties of Wey- type band structures with a bottom-up, tunable approach and incremental complexity.

Universal semiclassical equations based on the quantum metric for a two-band system

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We derive semiclassical equations of motion for an accelerated wavepacket in a two-band system. We show that these equations can be formulated in terms of the static band geometry described by the…

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Syed Tahir Amin‡ Instituto de Telecomunicações, Av. Rovisco Pais 1, 1049-001 Lisbon, Portugal Departamento de F́ısica, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais 1, 1049-001…

Liste de publications de PHYS

- 2017

Sirunyan, A., Beghin, D., Bilin, B., Brun, H., Clerbaux, B., De Lentdecker, G., Delannoy, H., Dorney, B., Fasanella, G., Favart, L., Goldouzian, R., Grebenyuk, A., Kalsi, A. K., Lenzi, T., Luetic,…

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Time-periodic driving in the form of coherent radiation provides powerful tool for the manipulation of topological materials or synthetic quantum matter. In this paper we propose a scheme to realize…

## References

SHOWING 1-10 OF 127 REFERENCES

Realistic Floquet Semimetal with Exotic Topological Linkages between Arbitrarily Many Nodal Loops.

- Physics, MedicinePhysical review letters
- 2018

This Letter presents a class of exotic Floquet topological phases that has hitherto not been proposed in any realistic setup and proposes to use both a Berry-phase related winding number and the Alexander polynomial topological invariant to characterize the fascinating linkages among the nodal loops.

Observation of nodal-line semimetal with ultracold fermions in an optical lattice

- PhysicsNature Physics
- 2019

The observation of topological phases beyond two dimensions, as widely reported in solid-state systems1,2, has been an open challenge for ultracold atoms. Although many theoretical schemes have been…

Revealing Tensor Monopoles through Quantum-Metric Measurements.

- Medicine, PhysicsPhysical review letters
- 2018

This work investigates the possibility of creating and measuring a tensor monopole in condensed-matter physics by introducing a realistic three-band model defined over a four-dimensional parameter space, and proposes a realisticThree-level atomic system, where Tensor monopoles could be generated and revealed through quantum-metric measurements.

Momentum-space cigar geometry in topological phases

- Physics
- 2017

Abstract.In this paper, we stress the importance of momentum-space geometry in the understanding of two-dimensional topological phases of matter. We focus, for simplicity, on the gapped boundary of…

Topological Characterization of Periodically-Driven Quantum Systems

- Physics
- 2010

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…

Measuring quantized circular dichroism in ultracold topological matter

- PhysicsNature Physics
- 2019

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…

Topological nodal semimetals

- Physics
- 2011

We present a study of “nodal-semimetal” phases in which nondegenerate conduction and valence bands touch at points (the “Weyl semimetal”) or lines (the “line-node semimetal”) in three-dimensional…

Classifying and measuring geometry of a quantum ground state manifold

- Physics
- 2013

From the Aharonov-Bohm effect to general relativity, geometry plays a central role in modern physics. In quantum mechanics, many physical processes depend on the Berry curvature. However, recent…

Topological nodal line semimetals

- Physics
- 2016

We review the recent, mainly theoretical, progress in the study of topological nodal line semimetals in three dimensions. In these semimetals, the conduction and the valence bands cross each other…

Topological semimetals with a double-helix nodal link

- Physics
- 2017

Topological nodal line semimetals are characterized by the crossing of the conduction and valence bands along one or more closed loops in the Brillouin zone. Usually, these loops are either isolated…