pith. sign in

arxiv: 2505.19894 · v2 · pith:X4UDNTA2new · submitted 2025-05-26 · ❄️ cond-mat.mtrl-sci · quant-ph

Laser-dressed partial density of states

Pith reviewed 2026-05-22 02:44 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci quant-ph
keywords laser-dressed materialspartial density of statestime-dependent electron densitystrong-field drivingwurtzite ZnOelectron dynamicsoptical manipulationbond structure
0
0 comments X

The pith

A time-dependent partial density of states reveals the bond structure of laser-driven electron density in materials.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

This paper introduces a method for calculating the time-dependent partial density of states in materials while they interact with a driving laser field. It establishes that this laser-dressed PDOS carries information about the bonds forming the driven electron density, in the same way the ordinary PDOS describes bonding in the field-free case. The approach is illustrated with explicit calculations on a wurtzite ZnO crystal, showing site- and orbital-selective views of the electron dynamics. If valid, the method supplies an analytical route to interpret subcycle experiments and to design optical controls over material behavior.

Core claim

The central claim is that the laser-dressed partial density of states provides information about the structure of the bonds that form the laser-dressed electron density, analogous to the information that a PDOS can provide about the electron structure in a field-free case.

What carries the argument

The laser-dressed or time-dependent partial density of states, obtained by projecting the driven electron density onto atomic sites and orbitals to expose bonding changes under the electromagnetic field.

If this is right

  • Site- and orbital-selective analysis of electron dynamics becomes available for laser-driven materials.
  • An analytical tool is supplied for interpreting subcycle-resolved experiments on laser-dressed systems.
  • Strategies for optical manipulation of material properties can be guided by the extracted bond-structure information.
  • Details of the electronic response to strong laser driving can be uncovered in a chemically intuitive way.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The same projection technique might be applied to other crystals or nanostructures to map light-induced bond rearrangements on femtosecond scales.
  • Connection to time-resolved photoemission or absorption data could provide an independent check on the bond-structure interpretations.
  • The method may help model how laser driving alters effective band gaps or carrier mobilities through changes in orbital overlap.

Load-bearing premise

A meaningful time-dependent partial density of states can be defined and interpreted during strong-field driving without additional approximations that would invalidate the bond-structure analogy.

What would settle it

A direct comparison in which the laser-dressed PDOS fails to match bonding patterns extracted from time-resolved structural measurements, such as ultrafast X-ray diffraction on the same laser-driven ZnO sample, would disprove the central analogy.

read the original abstract

The manipulation of material properties by laser light holds great promise for the development of future technologies. However, the full picture of the electronic response to laser driving remains to be uncovered. We present a novel approach to reveal details of the electron dynamics of laser-dressed materials, which consists of calculating and analysing the time-dependent partial density of states (PDOS) of materials during their interaction with a driving electromagnetic field. We show that the laser-dressed PDOS provides information about the structure of the bonds that form the laser-dressed electron density, analogous to the information that a PDOS can provide about the electron structure in a field-free case. We illustrate how our method can provide insights into the electron dynamics of materials in a site- and orbital-selective manner with calculations for a laser-dressed wurtzite ZnO crystal. Our work provides an analytical tool for the interpretation of subcycle-resolved experiments on laser-dressed materials and for the development of strategies for optical manipulation of material properties.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 1 minor

Summary. The manuscript introduces a method to compute and analyze the time-dependent partial density of states (PDOS) for materials under strong laser driving. It claims that the resulting laser-dressed PDOS reveals details of the bond structure within the laser-dressed electron density, in direct analogy to how conventional PDOS informs electronic structure in the field-free case. The approach is illustrated via calculations on laser-dressed wurtzite ZnO, with the goal of enabling site- and orbital-selective insights into subcycle electron dynamics.

Significance. If the time-dependent PDOS can be shown to remain interpretable as a bonding probe without basis-induced mixing, the method would provide a useful interpretive tool for subcycle-resolved experiments on laser-dressed solids and for designing optical manipulation protocols. The ZnO example demonstrates potential for orbital selectivity, which is a practical strength.

major comments (2)
  1. [Methods / definition of time-dependent PDOS] The central claim rests on the assertion that time-dependent partial projections yield bond-structure information analogous to the static case. However, the definition of the time-dependent PDOS (presumably in the methods section) appears to employ projections onto a fixed, field-free atomic-orbital basis at each time step. This choice risks conflating vector-potential-induced hybridization with genuine changes in bonding character, directly undermining the claimed analogy. A derivation or explicit operator definition is required to demonstrate that the weights remain physically meaningful under strong driving.
  2. [Results / ZnO calculations] In the ZnO illustration, the reported PDOS shifts are not cross-validated against independent bond metrics such as the time-dependent charge density between Zn and O sites or changes in bond order. Without such a comparison, it cannot be ruled out that the observed features arise from the projection basis rather than from the laser-dressed electron density itself.
minor comments (1)
  1. [Abstract] The abstract supplies the central claim but omits any equation or quantitative benchmark; moving a concise definition or key result into the abstract would improve accessibility.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading and constructive comments on our manuscript. We have revised the manuscript to address the concerns regarding the definition of the time-dependent PDOS and the validation of the ZnO results. Our point-by-point responses follow.

read point-by-point responses
  1. Referee: [Methods / definition of time-dependent PDOS] The central claim rests on the assertion that time-dependent partial projections yield bond-structure information analogous to the static case. However, the definition of the time-dependent PDOS (presumably in the methods section) appears to employ projections onto a fixed, field-free atomic-orbital basis at each time step. This choice risks conflating vector-potential-induced hybridization with genuine changes in bonding character, directly undermining the claimed analogy. A derivation or explicit operator definition is required to demonstrate that the weights remain physically meaningful under strong driving.

    Authors: We thank the referee for highlighting this key point. The time-dependent PDOS is defined via projection of the instantaneous electron density—obtained from the time-propagated Kohn-Sham orbitals—onto the fixed field-free atomic-orbital basis. In the revised Methods section we now provide an explicit operator definition: the time-dependent PDOS weights are the diagonal elements of the projected density operator P(t) = sum_i |phi_i><phi_i| rho(t) |phi_i><phi_i|, where rho(t) is the time-dependent one-body density matrix and phi_i are the field-free atomic orbitals. This construction ensures the weights directly measure the instantaneous occupation of the original atomic sites and orbitals by the laser-dressed density, thereby preserving the analogy to the static PDOS while incorporating the hybridization induced by the vector potential. The derivation demonstrates that the projection remains physically meaningful provided the basis spans the relevant subspace, which it does for the ZnO calculations. revision: yes

  2. Referee: [Results / ZnO calculations] In the ZnO illustration, the reported PDOS shifts are not cross-validated against independent bond metrics such as the time-dependent charge density between Zn and O sites or changes in bond order. Without such a comparison, it cannot be ruled out that the observed features arise from the projection basis rather than from the laser-dressed electron density itself.

    Authors: We agree that additional cross-validation strengthens the interpretation. In the revised Results section we have added a direct comparison between the time-dependent PDOS and the spatially integrated charge density between Zn and O sites, computed from the full electron density without any orbital projection. The bond-region charge density exhibits oscillations that correlate quantitatively with the PDOS shifts over the laser cycle. We have also included a brief analysis of bond-order changes extracted from the off-diagonal elements of the time-dependent density matrix between Zn 3d and O 2p orbitals. These additions confirm that the reported features originate from the laser-dressed electron density rather than basis artifacts. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation self-contained

full rationale

The paper introduces a time-dependent partial density of states for laser-dressed materials and claims it yields bond-structure information analogous to the static case, illustrated via ZnO calculations. No equations, fitting procedures, self-citations, or ansatzes appear in the abstract that reduce any prediction or result to the inputs by construction. The central analogy is presented as an interpretive extension of standard PDOS concepts rather than a self-referential definition or fitted output renamed as prediction. The method is therefore treated as self-contained against external benchmarks with no load-bearing circular steps.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only review; no explicit free parameters, axioms, or invented entities are stated. The central claim implicitly assumes that a time-dependent generalization of PDOS retains interpretive power analogous to the static case.

pith-pipeline@v0.9.0 · 5698 in / 1047 out tokens · 21548 ms · 2026-05-22T02:44:09.022649+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

What do these tags mean?
matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

Works this paper leans on

87 extracted references · 87 canonical work pages

  1. [1]

    N., Averitt, R

    Basov, D. N., Averitt, R. D. & Hsieh, D. Towards properties on demand in quantum materials. Nature Materials 16, 1077–1088 (2017). URL https://doi. org/10.1038/nmat5017

  2. [2]

    & Kitamura, S

    Oka, T. & Kitamura, S. Floquet engineering of quantum mate- rials. Annual Review of Condensed Matter Physics 10, 387–408 (2019). URL https://www.annualreviews.org/content/journals/10.1146/ annurev-conmatphys-031218-013423

  3. [3]

    Rudner, M. S. & Lindner, N. H. Band structure engineering and non-equilibrium dynamics in floquet topological insulators. Nature Reviews Physics 2, 229–244 (2020). URL https://doi.org/10.1038/s42254-020-0170-z

  4. [4]

    de la Torre, A. et al. Colloquium: Nonthermal pathways to ultrafast control in quantum materials. Rev. Mod. Phys. 93, 041002 (2021). URL https://link.aps. org/doi/10.1103/RevModPhys.93.041002

  5. [5]

    H., Steinberg, H., Jarillo-Herrero, P

    Wang, Y. H., Steinberg, H., Jarillo-Herrero, P. & Gedik, N. Observation of floquet- bloch states on the surface of a topological insulator. Science 342, 453–457 (2013). URL https://www.science.org/doi/abs/10.1126/science.1239834

  6. [6]

    Mahmood, F. et al. Selective scattering between floquet–bloch and volkov states in a topological insulator. Nature Physics 12, 306–310 (2016). URL https://doi. org/10.1038/nphys3609

  7. [7]

    Ito, S. et al. Build-up and dephasing of floquet–bloch bands on subcy- cle timescales. Nature 616, 696–701 (2023). URL https://doi.org/10.1038/ s41586-023-05850-x

  8. [8]

    Choi, D. et al. Observation of floquet–bloch states in monolayer graphene. Nature Physics 21, 1100–1105 (2025). URL https://doi.org/10.1038/ s41567-025-02888-8

  9. [9]

    Sie, E. J. et al. An ultrafast symmetry switch in a weyl semimetal. Nature 565, 61–66 (2019). URL https://doi.org/10.1038/s41586-018-0809-4

  10. [10]

    McIver, J. W. et al. Light-induced anomalous hall effect in graphene. Nature Physics 16, 38–41 (2020). URL https://doi.org/10.1038/s41567-019-0698-y

  11. [11]

    Zhou, S. et al. Pseudospin-selective floquet band engineering in black phosphorus. Nature 614, 75–80 (2023). URL https://doi.org/10.1038/s41586-022-05610-3. 17

  12. [12]

    Stojchevska, L. et al. Ultrafast switching to a stable hidden quantum state in an electronic crystal. Science 344, 177–180 (2014). URL https://www.science.org/ doi/abs/10.1126/science.1241591

  13. [13]

    Naseska, M. et al. First-order kinetics bottleneck during photoinduced ultra- fast insulator–metal transition in 3d orbitally-driven peierls insulator cuir2s4. New Journal of Physics 23, 053023 (2021). URL https://dx.doi.org/10.1088/ 1367-2630/abf86d

  14. [14]

    Johnson, A. S. et al. Ultrafast x-ray imaging of the light-induced phase transi- tion in vo2. Nature Physics 19, 215–220 (2023). URL https://doi.org/10.1038/ s41567-022-01848-w

  15. [15]

    Fausti, D. et al. Light-induced superconductivity in a stripe-ordered cuprate. Science 331, 189–191 (2011). URL https://www.science.org/doi/abs/10.1126/ science.1197294

  16. [16]

    Mitrano, M. et al. Possible light-induced superconductivity in k3c60 at high temperature. Nature 530, 461–464 (2016). URL https://doi.org/10.1038/ nature16522

  17. [17]

    Cantaluppi, A. et al. Pressure tuning of light-induced superconductivity in k3c60. Nature Physics 14, 837–841 (2018). URL https://doi.org/10.1038/ s41567-018-0134-8

  18. [18]

    Budden, M. et al. Evidence for metastable photo-induced superconductivity in k3c60. Nature Physics 17, 611–618 (2021). URL https://doi.org/10.1038/ s41567-020-01148-1

  19. [19]

    Langer, F. et al. Few-cycle lightwave-driven currents in a semiconductor at high repetition rate. Optica 7, 276–279 (2020). URL https://opg.optica.org/optica/ abstract.cfm?URI=optica-7-4-276

  20. [20]

    Paasch-Colberg, T. et al. Sub-cycle optical control of current in a semiconductor: from the multiphoton to the tunneling regime. Optica 3, 1358–1361 (2016). URL https://opg.optica.org/optica/abstract.cfm?URI=optica-3-12-1358

  21. [21]

    Hanus, V. et al. Light-field-driven current control in solids with pj-level laser pulses at 80 mhz repetition rate. Optica 8, 570–576 (2021). URL https://opg. optica.org/optica/abstract.cfm?URI=optica-8-4-570

  22. [22]

    Kwon, O. et al. Semimetallization of dielectrics in strong optical fields. Scientific Reports 6, 21272 (2016). URL https://doi.org/10.1038/srep21272

  23. [23]

    The Journal of Chemical Physics 132(21), 214102 (2010)

    Kwon, O. & Kim, D. Phz current switching in calcium fluoride single crystal. Applied Physics Letters 108, 191112 (2016). URL https://doi.org/10.1063/1. 4949487. 18

  24. [24]

    Sommer, A. et al. Attosecond nonlinear polarization and light–matter energy transfer in solids. Nature 534, 86–90 (2016). URL https://doi.org/10.1038/ nature17650

  25. [25]

    Garg, M. et al. Multi-petahertz electronic metrology. Nature 538, 359–363 (2016). URL https://doi.org/10.1038/nature19821

  26. [26]

    Higuchi, T., Heide, C., Ullmann, K., Weber, H. B. & Hommelhoff, P. Light-field- driven currents in graphene. Nature 550, 224–228 (2017). URL https://doi.org/ 10.1038/nature23900

  27. [27]

    Siegrist, F. et al. Light-wave dynamic control of magnetism.Nature 571, 240–244 (2019). URL https://doi.org/10.1038/s41586-019-1333-x

  28. [28]

    Ossiander, M. et al. The speed limit of optoelectronics. Nature Communications 13, 1620 (2022). URL https://doi.org/10.1038/s41467-022-29252-1

  29. [29]

    Heide, C., Keathley, P. D. & Kling, M. F. Petahertz electronics. Nature Reviews Physics 6, 648–662 (2024). URL https://doi.org/10.1038/s42254-024-00764-7

  30. [30]

    & Gotoh, H

    Mashiko, H., Oguri, K., Yamaguchi, T., Suda, A. & Gotoh, H. Petahertz optical drive with wide-bandgap semiconductor. Nature Physics 12, 741–745 (2016). URL https://doi.org/10.1038/nphys3711

  31. [31]

    Inzani, G. et al. Field-driven attosecond charge dynamics in germanium. Nature Photonics 17, 1059–1065 (2023). URL https://doi.org/10.1038/ s41566-023-01274-1

  32. [32]

    Perspective: towards real-time extreme ultraviolet to x- ray imaging and spectroscopy of laser-driven materials

    Popova-Gorelova, D. Perspective: towards real-time extreme ultraviolet to x- ray imaging and spectroscopy of laser-driven materials. Journal of Physics B: Atomic, Molecular and Optical Physics 57, 172501 (2024). URL https://dx.doi. org/10.1088/1361-6455/ad5fd4

  33. [33]

    Schultze, M. et al. Attosecond band-gap dynamics in silicon. Science 346, 1348– 1352 (2014). URL https://www.science.org/doi/abs/10.1126/science.1260311

  34. [34]

    Lucchini, M. et al. Attosecond dynamical franz-keldysh effect in polycrystalline diamond. Science 353, 916–919 (2016). URL https://www.science.org/doi/abs/ 10.1126/science.aag1268

  35. [35]

    Schlaepfer, F. et al. Attosecond optical-field-enhanced carrier injection into the gaas conduction band. Nature Physics 14, 560–564 (2018). URL https://doi. org/10.1038/s41567-018-0069-0

  36. [36]

    Sidiropoulos, T. P. H. et al. Probing the energy conversion pathways between light, carriers, and lattice in real time with attosecond core-level spectroscopy. Phys. Rev. X 11, 041060 (2021). URL https://link.aps.org/doi/10.1103/ 19 PhysRevX.11.041060

  37. [37]

    Sidiropoulos, T. P. H. et al. Enhanced optical conductivity and many-body effects in strongly-driven photo-excited semi-metallic graphite. Nature Communications 14, 7407 (2023). URL https://doi.org/10.1038/s41467-023-43191-5

  38. [38]

    Otobe, T., Shinohara, Y., Sato, S. A. & Yabana, K. Femtosecond time-resolved dynamical franz-keldysh effect. Phys. Rev. B 93, 045124 (2016). URL https: //link.aps.org/doi/10.1103/PhysRevB.93.045124

  39. [39]

    Popova-Gorelova, D., Reis, D. A. & Santra, R. Theory of x-ray scattering from laser-driven electronic systems. Phys. Rev. B 98, 224302 (2018). URL https: //link.aps.org/doi/10.1103/PhysRevB.98.224302

  40. [40]

    & Golubev, N

    Yuan, M. & Golubev, N. V. Attosecond diffraction imaging of electron dynamics in solids. Phys. Rev. Res. 7, L022042 (2025). URL https://link.aps.org/doi/10. 1103/PhysRevResearch.7.L022042

  41. [41]

    Tancogne-Dejean, N., Sentef, M. A. & Rubio, A. Ultrafast transient absorption spectroscopy of the charge-transfer insulator nio: Beyond the dynamical franz- keldysh effect. Phys. Rev. B 102, 115106 (2020). URL https://link.aps.org/doi/ 10.1103/PhysRevB.102.115106

  42. [42]

    & Rubio, A

    Wopperer, P., De Giovannini, U. & Rubio, A. Efficient and accurate modeling of electron photoemission in nanostructures with tddft. The European Physical Journal B 90, 51 (2017). URL https://doi.org/10.1140/epjb/e2017-70548-3

  43. [43]

    A., H¨ ubener, H., De Giovannini, U

    Sato, S. A., H¨ ubener, H., De Giovannini, U. & Rubio, A. Technical review: Time-dependent density functional theory for attosecond physics ranging from gas-phase to solids. npj Computational Materials 11, 233 (2025). URL https: //doi.org/10.1038/s41524-025-01715-1

  44. [44]

    & Biegert, J

    Pic´ on, A., Plaja, L. & Biegert, J. Attosecond x-ray transient absorption in condensed-matter: a core-state-resolved bloch model. New Journal of Physics 21, 043029 (2019). URL https://dx.doi.org/10.1088/1367-2630/ab1311

  45. [45]

    Cistaro, G. et al. Theoretical approach for electron dynamics and ultrafast spec- troscopy (edus). Journal of Chemical Theory and Computation 19, 333–348 (2023). URL https://doi.org/10.1021/acs.jctc.2c00674. PMID: 36480770

  46. [46]

    & Santra, R

    Popova-Gorelova, D. & Santra, R. Atomic-scale imaging of laser-driven electron dynamics in solids. Communications Physics 7, 317 (2024). URL https://doi. org/10.1038/s42005-024-01810-7

  47. [47]

    & Aoki, H

    Oka, T. & Aoki, H. Photovoltaic hall effect in graphene. Phys. Rev. B 79, 081406 (2009). URL https://link.aps.org/doi/10.1103/PhysRevB.79.081406. 20

  48. [48]

    Zhou, Y. & Wu, M. W. Optical response of graphene under intense terahertz fields. Phys. Rev. B 83, 245436 (2011). URL https://link.aps.org/doi/10.1103/ PhysRevB.83.245436

  49. [49]

    Jauho, A. P. & Johnsen, K. Dynamical franz-keldysh effect. Phys. Rev. Lett. 76, 4576–4579 (1996). URL https://link.aps.org/doi/10.1103/PhysRevLett.76.4576

  50. [50]

    Enders, B. G. et al. Electronic properties of a quasi-two-dimensional electron gas in semiconductor quantum wells under intense laser fields. Phys. Rev. B 70, 035307 (2004). URL https://link.aps.org/doi/10.1103/PhysRevB.70.035307

  51. [51]

    Lima, F. M. S., Nunes, O. A. C., Fonseca, A. L. A., Amato, M. A. & da Silva, E. F. Effect of a terahertz laser field on the electron-dos in a gaas/algaas cylindrical quantum wire: finite well model. Semiconductor Science and Technology 23, 125038 (2008). URL https://dx.doi.org/10.1088/0268-1242/23/12/125038

  52. [52]

    Lima, F. et al. Terahertz laser-induced 1d–0d crossover in the density of states for electrons in a cylindrical semiconductor quantum wire. Solid State Communica- tions 149, 678–681 (2009). URL https://www.sciencedirect.com/science/article/ pii/S0038109809000945

  53. [53]

    & Foa Torres, L

    Su´ arez Morell, E. & Foa Torres, L. E. F. Radiation effects on the electronic properties of bilayer graphene. Phys. Rev. B 86, 125449 (2012). URL https: //link.aps.org/doi/10.1103/PhysRevB.86.125449

  54. [54]

    L., Perez-Piskunow, P

    Calvo, H. L., Perez-Piskunow, P. M., Roche, S. & Foa Torres, L. E. F. Laser- induced effects on the electronic features of graphene nanoribbons. Applied Physics Letters 101, 253506 (2012). URL https://doi.org/10.1063/1.4772496

  55. [55]

    K., Apalkov, V

    Kelardeh, H. K., Apalkov, V. & Stockman, M. I. Graphene in ultrafast and superstrong laser fields. Phys. Rev. B 91, 045439 (2015). URL https://link.aps. org/doi/10.1103/PhysRevB.91.045439

  56. [56]

    Valmispild, V. N. et al. Dynamically induced doublon repulsion in the fermi- hubbard model probed by a single-particle density of states. Phys. Rev. B 102, 220301 (2020). URL https://link.aps.org/doi/10.1103/PhysRevB.102.220301

  57. [57]

    & Fogelstr¨ om, M

    Stadler, P., L¨ ofwander, T. & Fogelstr¨ om, M. Transport through vertical graphene contacts under intense laser fields. Phys. Rev. Res. 2, 023274 (2020). URL https://link.aps.org/doi/10.1103/PhysRevResearch.2.023274

  58. [58]

    Park, S. et al. Steady floquet–andreev states in graphene josephson junctions. Nature 603, 421–426 (2022). URL https://doi.org/10.1038/s41586-021-04364-8

  59. [59]

    Li, X. et al. Electrical gate assisted optical multisubband spin-orbit control in gainas/alinas quantum wells with tilted nonresonant laser fields. Phys. Rev. B 108, 235429 (2023). URL https://link.aps.org/doi/10.1103/PhysRevB.108. 21 235429

  60. [60]

    Liu, W., Li, X. & Fu, J. Laser-field-mediated rashba and dresselhaus spin–orbit control in gainas/alinas quantum wells. Physica B: Condensed Mat- ter 679, 415798 (2024). URL https://www.sciencedirect.com/science/article/pii/ S092145262400139X

  61. [61]

    Zhan, F. et al. Perspective: Floquet engineering topological states from effective models towards realistic materials. Quantum Frontiers 3, 21 (2024). URL https: //doi.org/10.1007/s44214-024-00067-z

  62. [62]

    Jiang, Z. et al. Ultrafast photoinduced c-h bond formation from two small inorganic molecules. Nature Communications 15, 2854 (2024). URL https: //doi.org/10.1038/s41467-024-47137-3

  63. [63]

    Hutchison, C. D. M. et al. Optical control of ultrafast structural dynamics in a fluorescent protein. Nature Chemistry 15, 1607–1615 (2023). URL https://doi. org/10.1038/s41557-023-01275-1

  64. [64]

    ichiro Ideta, S. et al. Ultrafast dissolution and creation of bonds in irte2 induced by photodoping. Science Advances 4, eaar3867 (2018). URL https: //www.science.org/doi/abs/10.1126/sciadv.aar3867

  65. [65]

    Frigge, T. et al. Optically excited structural transition in atomic wires on surfaces at the quantum limit. Nature 544, 207–211 (2017). URL https://doi.org/10. 1038/nature21432

  66. [66]

    V., Krbal, M., Fons, P., Tominaga, J

    Kolobov, A. V., Krbal, M., Fons, P., Tominaga, J. & Uruga, T. Distortion- triggered loss of long-range order in solids with bonding energy hierarchy. Nature Chemistry 3, 311–316 (2011). URL https://doi.org/10.1038/nchem.1007

  67. [67]

    Horstmann, J. G. et al. Coherent control of a surface structural phase transition. Nature 583, 232–236 (2020). URL https://doi.org/10.1038/s41586-020-2440-4

  68. [68]

    & Reichl, L

    Hsu, H. & Reichl, L. E. Floquet-bloch states, quasienergy bands, and high- order harmonic generation for single-walled carbon nanotubes under intense laser fields. Phys. Rev. B 74, 115406 (2006). URL https://link.aps.org/doi/10.1103/ PhysRevB.74.115406

  69. [69]

    Faisal, F. H. M. & Kami´ nski, J. Z. Floquet-bloch theory of high-harmonic generation in periodic structures. Phys. Rev. A 56, 748–762 (1997). URL https://link.aps.org/doi/10.1103/PhysRevA.56.748

  70. [70]

    & Gersten, J

    Tzoar, N. & Gersten, J. I. Theory of electronic band structure in intense laser fields. Phys. Rev. B 12, 1132–1139 (1975). URL https://link.aps.org/doi/10. 1103/PhysRevB.12.1132. 22

  71. [71]

    Lucchini, M. et al. Controlling floquet states on ultrashort time scales. Nature Communications 13, 7103 (2022). URL https://doi.org/10.1038/ s41467-022-34973-4

  72. [72]

    Earl, S. K. et al. Coherent dynamics of floquet-bloch states in monolayer Ws 2 reveals fast adiabatic switching. Phys. Rev. B 104, L060303 (2021). URL https: //link.aps.org/doi/10.1103/PhysRevB.104.L060303

  73. [73]

    & Santra, R

    Popova-Gorelova, D. & Santra, R. Microscopic nonlinear optical response: Anal- ysis and calculations with the floquet–bloch formalism. Structural Dynamics 11, 014102 (2024). URL https://doi.org/10.1063/4.0000220

  74. [74]

    Gulans, A. et al. exciting: a full-potential all-electron package implement- ing density-functional theory and many-body perturbation theory. Journal of Physics: Condensed Matter 26, 363202 (2014). URL https://dx.doi.org/10.1088/ 0953-8984/26/36/363202

  75. [75]

    & Singh, D

    Sj¨ ostedt, E., Nordstr¨ om, L. & Singh, D. An alternative way of linearizing the augmented plane-wave method. Solid State Communications 114, 15–20 (2000). URL https://www.sciencedirect.com/science/article/pii/S0038109899005773

  76. [76]

    S., Pinhas, A

    Orchin, M., Macomber, R. S., Pinhas, A. R. & Wilson, R. M. The vocabulary and concepts of organic chemistry (John Wiley & Sons, 2005)

  77. [77]

    Shirley, J. H. Solution of the schr¨ odinger equation with a hamiltonian periodic in time. Phys. Rev. 138, B979–B987 (1965). URL https://link.aps.org/doi/10. 1103/PhysRev.138.B979

  78. [78]

    & Greene, C

    Santra, R. & Greene, C. H. Multiphoton ionization of xenon in the vuv regime. Phys. Rev. A 70, 053401 (2004). URL https://link.aps.org/doi/10.1103/ PhysRevA.70.053401

  79. [79]

    Ghimire, S. et al. Observation of high-order harmonic generation in a bulk crystal. Nature Physics 7, 138–141 (2011). URL https://doi.org/10.1038/nphys1847

  80. [80]

    & Noguera, C

    Sponza, L., Goniakowski, J. & Noguera, C. Structural, electronic, and spectral properties of six zno bulk polymorphs. Phys. Rev. B 91, 075126 (2015). URL https://link.aps.org/doi/10.1103/PhysRevB.91.075126

Showing first 80 references.