Topological strong-field physics on sub-laser-cycle timescale

Silva, R.E.F.; Jiménez-Galán, Álvaro; Amorim, B.; Smirnova, Olga; Ivanov, Misha

doi:10.1038/s41566-019-0516-1

Cited by 190 publications

(104 citation statements)

References 42 publications

(45 reference statements)

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“…It is known that topological invariants (i.e., in our case the winding number introduced in appendix B) are a bulk property while the presence of edge states in the band structure requires actual boundaries. Recently, it has been demonstrated for the Haldane model that the topological invariant (the Chern number) is imprinted in the phases of harmonics emitted from the bulk [29]. However, the harmonic feature of interest in our work is the dip or its absence in the sub-band-gap harmonics for phase A and B, respectively.…”

Section: "Measurable" Bulk-boundary Correspondence?mentioning

confidence: 87%

“…Topological phases became the focus of research directions such as topological insulators [14][15][16], topological superconductivity [17,18], cold atoms [19], topological photonics [20][21][22], toplogical electronic circuitry [23][24][25], and topological mechanics [26]. Only very recently, the exploration of the physics at the interface between strong-field attosecond science and topological condensed matter began theoretically [27][28][29][30][31][32] and experimentally [33,34]. Of particular interest there is the all-optical distinction of topological phases, the steering of electrons through Berry curvatures or along topologically protected edges on sub-laser-cycle time scales, with potential applications in coherent light-wave electronics [35][36][37][38].…”

Section: Introductionmentioning

confidence: 99%

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High-harmonic generation in Su-Schrieffer-Heeger chains

Jürß

Bauer

2019

Phys. Rev. B

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Su-Schrieffer-Heeger (SSH) chains are the simplest model systems that display topological edge states. We calculate high-harmonic spectra of SSH chains that are coupled to an external laser field of a frequency much smaller than the band gap. We find huge differences between the harmonic yield for the two topological phases, similar to recent results obtained with more demanding timedependent density functional calculations [D. Bauer, K.K. Hansen, Phys. Rev. Lett. 120, 177401 (2018)]. This shows that the tight-binding SSH model captures the essential topological aspects of the laser-chain interaction (while higher harmonics involving higher bands or screening in the metal phase are absent). We study the robustness of the topological difference with respect to disorder, a continuous phase transition in position space, and on-site potentials. Further, we address the question whether the edges need to be illuminated by the laser for the huge difference in the harmonic spectra to be present. arXiv:1902.04120v2 [physics.optics]

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Section: "Measurable" Bulk-boundary Correspondence?mentioning

confidence: 87%

Section: Introductionmentioning

confidence: 99%

High-harmonic generation in Su-Schrieffer-Heeger chains

Jürß

Bauer

2019

Phys. Rev. B

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“…One of the fascinating research directions in condensed matter physics, cold atoms, and photonics are topological phases with interesting properties, and transitions between them [25]. From the strong-field laser perspective, there are only very few investigations on that subject to date [26][27][28][29][30]. Many questions arise in that context, for instance: How are topological phases encoded in typical strong-field observables such as photoelectron or harmonic spectra?…”

Section: Introductionmentioning

confidence: 99%

Robustness of topologically sensitive harmonic generation in laser-driven linear chains

Drüeke

Bauer

2019

Phys. Rev. A

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A many-order-of-magnitude difference in the harmonic yield from the two topological phases of finite, dimerizing linear chains in laser fields has recently been observed in all-electron timedependent density functional simulations [D. Bauer, K. K. Hansen, Phys. Rev. Lett. 120, 177401 (2018)]. In this work, we explore the robustness of the effect concerning the length of the chains, a continuous transition between the two topological phases, and disorder. A high robustness of both the degeneracy of the edge states in the topologically non-trivial phase as well as of the pronounced destructive interference, causing a dip in the harmonic spectra, in the topologically trivial phase is observed.

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“…The OAM-temporal coupling in these ultrafast vortices with high OAM will then have an impact in ultrafast vortex applications such as classical and quantum information and entanglement [21][22][23][24], transfer of OAM to matter [25], material processing [26] or nanosurgery [27]. Understanding the effects of OAM-temporal coupling is also fundamental when using the chirality of these vortices to probe chiral properties of matter at ultrashort time scales [28,29].…”

Section: Introductionmentioning

confidence: 99%

Effects of the Coupling between the Orbital Angular Momentum and the Temporal Degrees of Freedom in the Most Intense Ring of Ultrafast Vortices

Porras

2020

Applied Sciences

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It has been recently shown that the orbital angular momentum (OAM) and temporal degrees of freedom in ultrafast (few-cycle) vortices are coupled. This coupling manifests itself with different effects in different parts of the vortex, as has been shown for the ring surrounding the vortex where the pulse energy is maximum, and also in the immediate vicinity of the vortex center. In may applications, however, the ring of maximum energy is not of primary interest, but that where the pulse peak intensity is maximum, which is particularly true in nonlinear optics applications such as the experiments with ultrafast vortices exciting high harmonics and attosecond pulses carrying also OAM. This article describes the effects of the OAM-temporal coupling at the ring of maximum pulse peak intensity, which does not always coincide with the ring of maximum pulse energy. We find that there exists an upper bound to the magnitude of the topological charge that an ultrafast vortex with prescribed pulse shape at its most intense ring can carry, and vice versa, a lower bound to the duration of the pulse at the most intense ring for a given magnitude of the topological charge. These bounds imply that with a given laser source spectrum, the duration of the synthesized ultrafast vortex increases with the magnitude of the topological charge. Explicit analytical expressions of ultrafast vortices containing these OAM-temporal couplings are given that can be of interest in a variety of applications, particularly in the study of their propagation and interaction with matter.

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Topological strong-field physics on sub-laser-cycle timescale

Cited by 190 publications

References 42 publications

High-harmonic generation in Su-Schrieffer-Heeger chains

High-harmonic generation in Su-Schrieffer-Heeger chains

Robustness of topologically sensitive harmonic generation in laser-driven linear chains

Effects of the Coupling between the Orbital Angular Momentum and the Temporal Degrees of Freedom in the Most Intense Ring of Ultrafast Vortices

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