2026

2025

2024

2023

• Cáceres-Aravena, G. & Vildoso, P. & Drüeke, H. & Vicencio, R. A.
  Phase-controlled transport of Floquet-driven compact topological photonic states DOI: https://doi.org/10.1103/12mm-jf33 (https://arxiv.org/abs/2607.10415) (Accepted in Physical Review A), (2026)
• Julian C. Schäfer-Zimmermann, Tom von Scheven, Alessandro Colombo, Katharina Kolatzki, Björn Kruse, Bruno Langbehn , Thomas Möller, Nils Monserud, Mario Sauppe, Bernd Schütte, Björn Senfftleben, Rico Mayro P. Tanyag, Anatoli Ulmer, Thomas Fennel, Marc J. J. Vrakking, Arnaud Rouzée and Daniela Rupp
  Laser-Induced Transient Opacity in Helium Nanodroplets Probed by Single-Shot Coherent Diffraction (2026), DOI: 10.34133/ultrafastscience.0146
• Samuel Schöpa, Lina Bielke, Falk-Erik Wiechmann, Franziska Fennel and Dieter Bauer
  Phase structure of below-threshold harmonics in aligned molecules: A few-level model system, Phys. Rev. Research 8, L022022 (2026)
• Lina Bielke, Samuel Schöpa, Falk-Erik Wiechmann, Franziska Fennel and Dieter Bauer,
  High-harmonic generation from two weakly coupled molecules: A simple tight- binding model, Phys. Rev. A 113, 043106 (2026)
• Bettina Hohberger, Melanie Schünemann, Karsten Sperlich, Thomas Stahnke, Hans-Peter Berlien, Frank M. Jakobs, Frank Stephan Weinand, Hans-Dieter Reidenbach, Julia Schotten-
  hamml, and Oliver Stachs, 
  Update: Laser–an Everyday Tool with Underrated Risks, Klinische Monatsblätter für Augenheilkunde 243, 30 (2026)
• A. Kashef, O. P. Herrero, A. Szameit, M. Ornigotti, and S. Scheel, 
  Path-integral quantization of the electromagnetic field in nonlinear dielectric materials, Phys. Rev. A 113, 043730 (2026)
• Bryan Lorenzo, Carlos Batista, Milad Jangjan, Dasol Kim, Jean Menotti, Feng Liu, Wenlong Gao, Shambhu Ghimire, Camilo Granados, and Alexis Chacón, 
  High harmonic spectroscopy from lower-order to higher-order topological insulators, Phys. Rev. B 114, 084307 (2026). Editor’s suggestion
• A. Steinfurth, S. Weidemann, J. Görsch, T. Sheppard, H. M. Price, A. Szameit and J. Feis,
  Disorder-immune momentum band winding topology, arXiv:2604.10486
• G. Cáceres-Aravena, P. Vildoso, H. Drüeke, and R. A. Vicencio, 
  Phase-controlled transport of Floquet-driven compact topological photonic states, arXiv:2607.10415. accepted for publication in Phys. Rev. A.
• M. Jangjan, A. Kashef, S. Pooyan, S. Scheel and D. Bauer, 
  Even-harmonic generation through nonequilibrium steady-state symmetry breaking, arXiv:2607.27847
• T. R. Rieckmann, A. Afshar, A. Z. Goldberg, L. Childress, S. Scheel and K. Heshami, 
  Vector Magnetometry with Broadband Microwave Fields in Nitrogen-Vacancy Centers in Diamond, arXiv:2606.02749
• S. Shahab, I. Wenskus, A. Schulz, and S. Baltrusch, 
  Label-Free Assessment of Human Vitreous Microstructures by Dark-Field, Fluorescence Lifetime Imaging, Multiphoton and Second Harmonic Generation Microscopy, submitted (2026)
• S. Shahab, M. Walckling, R. Waterstradt, and S. Baltrusch, 
  Pseudoexfoliation Deposits Adhering on the Anterior Human Lens Capsule Consist of Autofluorescent Proteinaceous Extracellular Matrix and Impact Lens Homeostasis, submitted (2026)
• M. Jangjan, L. Li, L. Zhou, and M. V. Hosseini, 
  PT and anti-PT phase transitions in a trimerized Su–Schrieffer–Heeger chain with nonreciprocal Rashba spin-orbit coupling, arXiv:2608.20520.
• Chris Rehhagen, Tolibjon Abdurakhmonov, Magnus Frank, Oliver Kühn, and Stefan Lochbrunner
  Davydov Splitting Without a Davydov Pair and Highly Mobile Singlet Excitons in Perylene Red Microcrystals, arXiv:2609.08352
• U. Singh, J.-F. Laprade, A. Z. Goldberg and K. Heshami, 
  A Resource Efficient Quantum Kernel, arXiv:2507.03689.
• C. Zendejas-Morales, D. Saikia and U. Singh, 
  Local and Multi-Scale Strategies to Mitigate Exponential Concentration in Quantum Kernels, arXiv:2602.16097
• U. Singh, A. Z. Goldberg, C. Simon and K. Heshami, 
  Recurrent Quantum Feature Maps for Reservoir Computing, arXiv:2604.03469 (2026)
• S. Gholam-Mirzaei, M. T. Weil, D. N. Purschke, K. M. Kowalczyk, A. Staudte, D. M. Villeneuve, P. B. Corkum, J. S. Lundeen, G. Vampa, 
  Sub-cycle metrology of bright quantum light, submitted (2026).
• Jonas Himmel, Max Ehrhardt, Matthias Heinrich, Sebastian Weidemann, Tom A. W. Wolterink, Malte Röntgen, Peter Schmelcher and Alexander Szameit, 
  State transfer in latent-symmetric networks, eLight 6, 3 (2026)
• Jonas Himmel, Coraline Bacq, Krishna Chand Maurya, Max Ehrhardt, Matthias Heinrich, Tom A. W. Wolterink, Pablo Basteiro, Rathindra Nath Das, René Meyer, Tobias Huber-Loyola, Andreas Pfenning, Sven Höfling, Johanna Erdmenger and Alexander Szameit, 
  Experimental observation of hyperbolic spacetime dynamics, arXiv:2606.09501.
• P. Tuemmler, J. Apportin, T. Fennel and C. Peltz, 
  Fast Simulation of Wide-Angle Coherent Diffractive Imaging, Laser Photonics Review 7, e02001 (2026)
• L. Hecht, Y. Ovcharenko, A. Lægdsmand, B. Bastian, T. Baumann, A. Colombo, S. De, A. Fanis, S. Dold, T. Fennel, R. Hartmann, K. Kolatzki, S. Krishnan, B. Kruse, A. Laforge, B. Langbehn, S. Mandal, T. Mazza, C. Medina, C. Peltz, T. Pfeifer, B. Senfftleben, K. Sishodia, F. Stienkemeier, R. Tanyag, P. Tümmler, S. Usenko, A. Heidenreich, M. Meyer, D. Rupp, and M. Mudrich
  Model-free pattern separation of two-color ultrafast X-ray diffraction, Nature Commun. (2026)
• L. Hecht, A. Haddad, B. Bastian, T. Baumann, J. Bielecki, C. Bostedt, S. De, A. Fanis, S. Dold, T. Fennel, F. Goy, C. Graf, R. Hartmann, G. Jakobs, M. Joschko, G. Knopp, K. Kolatzki, S. Krishnan, B. Kruse, A. Lægdsmand, B. Langbehn, S. Mandal, T. Mazza, M. Meyer, C. Peltz, T. Pfeifer, S. Rafie-Zinedine, A. Sarracini, M. Sauppe, F. Schenk, K. Schnorr, B. Senfftleben, K. Sishodia, F. Stienkemeier, Z. Sun, R. Tanyag, P. Tümmler, S. Usenko, C. Ussling, V. Wood, X. Xie, M. Yarema, O. Yarema, N. Yazdani, H. Zhang, B. von Issendorff, Y. Ovcharenko, M. Mudrich, D. Rupp, and A. Colombo, 
  Dichography: two-frame ultrafast imaging from a single diffraction pattern, Nature Commun. 17, 7944 (2026)
• S. Sahel-Schackis, A. Summers, R. Dagar, A. Feinberg, M. Grassl, S. Dold, R. Boll, Y. Ovcharenko, C. Aikens, C. Vera, J. Cryan, A. De Fanis, A. Duley, F. Gerke, D. Jost, R. Leiner,
  M. Meyer, I. Molesky, R. Obaid, J. Powell, B. Senfftleben, H. Tackenberg, P. Tuemmler, S. Usenko, C. Peltz, T. Fennel, M. Gallei, E. Ruehl, A. Rudenko, D. Rolles, T. Linker, and M. Kling,
  X-ray Driven Trihydrogen Formation on Silica Nanosurfaces, arXiv:2608.05590

• Johannes Bentzien, Julien Pinske, Lukas J. Maczewsky, Steffen Weimann, Matthias Heinrich, Stefan Scheel and Alexander Szameit
  Unbroken PT-symmetry in the absence of gain or loss, Nature communications 16, 8225 (2025). DOI: https://doi.org/10.1038/s41467-025-63242-3
• Marco S Kirsch, Georgios G Pyrialakos, Richard Altenkirch, Mahmoud A. Selim, Julius Beck, Tom AW Wolterink, Huizhong Ren, Pawel S Jung, Mercedeh Khajavikhan, Alexander Szameit, Matthias Heinrich, Demetrios N Christodoulides.
  Observation of Joule–Thomson photon-gas expansion, Nature Physics 21, 214–220 (2025). DOI: https://doi.org/10.1038/s41567-024-02736-1
• Samaneh Shahab, Jonathan Ramírez-Cárdenas, Jesús Angulo, Gonzalo Angulo, Marcin Pastorczak
  The chemical instability of the survivin inhibitor – sepantronium bromide (YM155) by stimulated Raman, NMR and UV–Vis spectroscopies, Elsevier, ScienceDirect, In Press, Journal Pre-proof, DOI-Link: https://www.sciencedirect.com/science/article/pii/S1386142525010273 
• Z. Pi, A. B. Enders, D. Vaso, and E. Goulielmakis ,
  One-stage hollow-core fiber-based compression of Yb:KGW lasers to the single-cycle regime, Optics Letters 4174, Vol. 50, No: 13 / 1 July (2025), DOI-Link: https://doi.org/10.1364/OL.565432  
• T. Völzer, M. Krupp, J. Schröer, A. Bergmann-Iwe, T. Korn and S. Lochbrunner 
  Having a good vibe: strong coupling to the electronic system creates incoherent and coherent phonons in 1L-TMDCs, E-Publikation, Published by IOP Publishing Ltd, 2D Materials, Volume 12, Number 3, (2025), DOI-Link: https://doi.org/10.1088/2053-1583/addf5a / Uni Ros Dok Link: https://rosdok.uni-rostock.de/resolve/id/rosdok_document_0000025980 
• T. R. Rieckmann, S. Scheel, and A. D. K. Plato,
  Gate Sequence Optimization for Parameterized, Quantum Circuits using Reinforcement Learning, arXiv:2511.08096
• Nils leCoutre, Tolibjon Abdurakhmonov, Paul Weinbrenner, Kenji Watanabe, Takashi Taniguchi, Tobias Korn, Franziska Fennel, Oliver Kühn, and Friedemann Reinhard, Growth of Few-Layer
  Molecular Crystals of PTCDI on Hexagonal Boron Nitride by Microspacing Air-Gap Sublimation, ACS Appl. Opt. Mater. 3, 455 (2025)
• A. Steinfurth, S. Weidemann, J. Feis, M. Kremer, and A. Szameit, 
  Symmetry-Enforced State Revival in Time-Varying Photonic Lattices, Newton 2, 100301 (2025)
• Falk-Erik Wiechmann, Samuel Schöpa, Lina Bielke, Svenja Rindelhardt, Serguei Patchkovskii, Felipe Morales, Maria Richter, Dieter Bauer, and Franziska Fennel, 
  High-order harmonic generation in an organic molecular crystal, Nature Commun. 16, 9890 (2025)
• N. Boroumand, A. Thorpe, G. Bart, A. M. Parks, M. Toutounji, G. Vampa, T. Brabec, and L. Wang, 
  Strong field physics in open quantum systems, Rep. Prog. Phys. 88, 070501 (2025)
• A. Thorpe, N. Boroumand, G. Bart, L. Wang, G. Vampa, and T. Brabec, 
  High-harmonic generation in gases and solids, Phys. Rev. Research 7, 043284 (2025)
• L. Wang, A. M. Parks, A. Thorpe, G. Bart, G. Vampa, and T. Brabec, 
  Quantum Dial for High-Harmonic Generation, arXiv:2509.13518
• N. Boroumand, A. Thorpe, G. Bart, L. Wang, D. N. Purschke, G. Vampa, and T. Brabec,
  Quantum Engineering of High Harmonic Generation, arXiv:2505.22536.
• Mahmoud A. Selim, Max Ehrhardt, Yuqiang Ding, Hediyeh M. Dinani, Qi Zhong, Armando Perez-Leija, Sahin K. Özdemir, Matthias Heinrich, Alexander Szameit, 
  Demetrios N. Christodoulides, and Mercedeh Khajavikhan, Selective filtering of photonic quantum entanglement via anti–parity-time symmetry, Science 387, 1424-1428 (2025)
• M. P. Lourenco, R. Shukla, M. Naseri, D. Gaur, U. Singh, S. Gusarov, and D. R. Salahub, 
  Seeking metal–organic frameworks for hydrogen storage using classical and quantum active learning, Physical Chemistry Chemical Physics 27, 23365–23379 (2025).
• Jonas Himmel, Max Ehrhardt, Matthias Heinrich, Malte Röntgen, Alexander Szameit, and Tom A. W. Wolterink, 
  Eigenmodes of Latent-Symmetric Quantum Photonic Networks, ACS Photonics 12, 6570 (2025)
• Siamak Pooyan and D. Bauer, 
  Harmonic generation with topological edge states and electron-electron interaction, Phys. Rev. B 111, 014308 (2025)
• A. Colombo, M. Sauppe, A. Haddad, K. Ayyer, M. Babayan, R. Boll, R. Dagar, S. Dold, T. Fennel, L. Hecht, G. Knopp, K. Kolatzki, B. Langbehn, F. Maia, A. Mall, P. Mazumder, T.
  Mazza, Y. Ovcharenko, I. Polat, D. Raiser, J. Schäfer-Zimmermann, K. Schnorr, M. Schubert, A. Sehati, J. Sellberg, B. Senfftleben, Z. Shen, Z. Sun, P. Svensson, P. Tümmler, S. Usenko, C. Ussling, O. Veteläinen, S. Wächter, N. Walsh, A. Weitnauer, T. You, M. Zuod, M. Meyer, C. Bostedt, D. Galli, M. Patanen, and D. Rupp, 
  SPRING, an effective and reliable framework for image reconstruction in single-particle Coherent Diffraction Imaging, npj Comput Mater 11, 265 (2025)

• Gabriel Cáceres-Aravena, Milica Nedić, Paloma Vildoso, Goran Gligorić, Jovana Petrovic, Aleksandra Maluckov, and Rodrigo A. Vicencio
  Compact Topological Edge States in Flux-Dressed Graphenelike Photonic Lattices, Phys. Rev. Lett. 133, 116304 (2024), DOI-Link: https://doi.org/10.1103/PhysRevLett.133.116304
• Richard Altenkirch, Christian Peltz, Tom Böttcher, Stefan Lochbrunner, Franziska Fennel^* and Thomas Fennel^*
  Ultrafast imaging of laser-induced modifications in planar targets via single-shot in-line holography, et al 2024 New J. Phys.26 113010 DOI-Link: 10.1088/1367-2630/ad8eeb 
• Max Ehrhardt, C. Dittel, Matthias Heinrich, and Alexander Szameit
  Topological Hong-Ou-Mandel interference, Science 384, 1340-1344 (2024), DOI-Link: 10.1126/science.ado8192
• Maxim Mazanov, Diego Román-Cortés, Gabriel Cáceres-Aravena, Christofer Cid, Maxim A. Gorlach, and Rodrigo A. Vicencio,
  Photonic Molecule Approach to Multiorbital Topology, Nano Letters Article ASAP (2024), DOI: 10.1021/acs.nanolett.4c00728
• C. Rehhagen, M. A. Argüello Cordero, F. S. Kamounah, V. Deneva, I. Angelov, M. Krupp, S. W. Svenningsen, M. Pittelkow, S. Lochbrunner, and L. Antonov,
  Reversible Switching Based on Truly Intramolecular Long-Range Proton Transfer - Turning the Theoretical Concept into Experimental Reality, J. Am. Chem. Soc. 146 (2024), 2043-2053, DOI: 10.1021/jacs.3c10789
• M. Babakan, A. Kashef, and L. Memarzadeh, 
  Entanglement degradation under local dissipative, Landau-Zener noise, Phys. Rev. A 110, 012456 (2024)
• L. Frackleton, A.N. Harper, M. Latorre, A.F. Pegoraro, A. Stolow, and S. Shivkumar, 
  Fringeaveraged collinear frequency-resolved optical gating: in situ characterization of ultrashort pulses in nonlinear microscopy, Opt. Express 32, 33090 (2024)
• U. Singh, A. Z. Goldberg and K. Heshami, 
  Coherent feed-forward quantum neural network, Quantum Machine Intelligence 6, 89 (2024)
• Max Ehrhardt, Christoph Dittel, Matthias Heinrich, and Alexander Szameit, 
  Topological Hong-Ou-Mandel interference, Science 384, 1340 (2024)
• Alexander Fritzsche, Tobias Biesenthal, Lukas Maczewsky, Karo Becker, Max Ehrhardt, Matthias Heinrich, Ronny Thomale, Yogesh Joglekar, and Alexander Szameit, 
  Parity–time-symmetric photonic topological insulator, Nature Materials 23, 377-382 (2024)
• A. R. Ramos Ramos, E. W. Fischer, P. Saalfrank, O. Kühn, 
  Shaping the Laser Control Landscape of a Hydrogen Transfer Reaction by Vibrational Strong Coupling. A Direct Optimal Control Approach, The Journal of Chemical Physics 160, 074101 (2024)
• David Amaro-Alcalá, Barry C. Sanders, and Hubert de Guise, 
  Benchmarking of universal qutrit gates, Phys. Rev. A 109, 012621 (2024)
• David Amaro-Alcalá, Barry C. Sanders, and Hubert de Guise, 
  Qudit non-Clifford interleaved benchmarking, IEEE 54th International Symposium on Multiple-Valued Logic (ISMVL), pp. 103–108 (2024)
• David Amaro-Alcalá, Barry C. Sanders, and Hubert de Guise, 
  Randomised benchmarking for universal qudit gates, New J. Phys. 26, 073052 (2024)
• J. P. Lee, T. Avni, O. Alexander, M. Maimaris, H. Ning, A. A. Bakulin, P. G. Burden, E. Moutoulas, D.G. Georgiadou, C. Brahms, J. C. Travers, J. P. Marangos, and C. Ferchaud, 
  Few-femtosecond soft X-ray transient absorption spectroscopy with tuneable DUV-Vis pump pulses, Optica 11, 1320-1323 (2024)

• Boquan Ren, Yaroslav V. Kartashov, Lukas J. Maczewsky, Marco S. Kirsch, Hongguang Wang, Alexander Szameit, Matthias Heinrich, and Yiqi Zhang, 
  Theory of nonlinear corner states in photonic fractal lattices, Nanophotonics 12, 3829 (2023)
• Oliver Stachs, Ricardo Elsner, Jan Sievers, Martin Kunert, Stefan Reiss, Sebastian Bohn, Melanie Schünemann, Heinrich Stolz, Rudolf Guthoff, and Karsten Sperlich, 
  The Rostock Method for Quantitative Evaluation of Intraocular Lenses, Investigative Ophthalmology & Visual Science 64 2521 (2023)
• A. Thorpe*, N. Boroumand*, A. M. Parks, E. Goulielmakis, and T. Brabec,
  High harmonic generation in solids: Real versus virtual transition channels, Phys. Rev. B 107, 075135 (02/2023), https://doi.org/10.1103/PhysRevB.107.075135
• Felix Karbstein, Simon Stützer, Holger Gies, and Alexander Szameit
  Exploring new states of matter with a photonic emulator Phys. Rev. Research 5, L042036 – Published 8 December 2023
• G. Cáceres-Aravena, B. Real, D. Guzmán-Silva, P. Vildoso, I. Salinas, A. Amo, T. Ozawa, and R. A. Vicencio, 
  Spectral edge-to-edge topological state transfer in diamond photonic lattices, APL Photonics 8, 080801 (2023)
• Leandro D. Mena, José L. Borioni, Sofia Caby, Patrick Enders, Miguel A. Argüello Cordero, Franziska Fennel, Robert Francke, Stefan Lochbrunner, and Javier I. Bardagi, 
  Quantitative prediction of excited-state decay rates for radical anion photocatalysts, Chem. Commun. 59, 9726–9729 (2023)
• Max Ehrhardt, Sebastian Weidemann, Lukas Maczewsky, Matthias Heinrich and Alexander Szameit, 
  A Perspective on Synthetic Dimensions in Photonics, Laser & Photonics Reviews 17, 2200518 (2023)
• Sagnik Dutta, Asmita Banerjee, and Prasanta K. Panigrahi, 
  Absolutely secure distributed superdense coding: entanglement requirement for optimality, Physica Scripta 98, 025104 (2023)

• Soumik Mahanti, Sagnik Dutta, and Prasanta K. Panigrahi, 
  Classification and quantification of entanglement through wedge product and geometry, Physica Scripta 98, 085103 (2023)

   

• S. J. U. White, F. Klauck, T. Trong Tran, N. Schmitt, M. Kianinia, A. Steinfurth, M. Heinrich, M. Toth, A. Szameit, I. Aharonovich, and A. S. Solntsev 
  Quantum random number generation using a hexagonal boron nitride single photon emitter , Journal of Optics 23, 01LT01 (2020)
• M. Schünemann, K. Sperlich, K. Barnscheidt, S. Schöpa, J. Wenzel, S. Kalies, A. Heisterkamp, H. Stolz, O. Stachs, and B. Hage 
  Balanced heterodyne Brillouin spectroscopy towards tissue characterization, IEEE Access 10, 24340 (2022)
• A. Steinfurth, I. Kresic, S. Weidemann, M. Kremer, K. G. Makris, M. Heinrich, S. Rotter, and A. Szameit 
  Observation of Photonic Constant-Intensity Waves and Induced Transparency in Tailored Non-Hermitian Lattices, Science Advances 8, eabl7412 (2022)
• A. Dikopoltsev, S. Weidemann, M. Kremer, A. Steinfurth, H. H. Sheinfux, A. Szameit, and M. Segev, 
  Observation of Anderson Localization beyond the Spectrum of the Disorder, Science Advances 8, eabn7769 (2022)
• Kim Lammers, Max Ehrhardt, Teodor Malendevych, Xiaoyu Xu, Christian Vetter, Alessandro Alberuccu, Alexander Szameit, and Stefan Nolte, 
  Embedded nanograting-based waveplates for polarization control in integrated photonic circuits, Optical Material Express 9, 2560 (2019)
• Lukas J. Maczewsky, Matthias Heinrich, Mark Kremer, Sergey K. Ivanov, Max Ehrhardt, Franklin Martinez, Yaroslav V. Kartashov, Valdimir V. Konotop, Lluis Torner, Dieter Bauer,
  and Alexander Szameit, 
  Nonlinearity-induced photonic topological insulator, Science 370, 701-704 (2020)
• Lukas J. Maczewsky, Kai Wang, Alexander A. Dovgiy, Andrey E. Miroshnichenko, Alexander Moroz, Max Ehrhardt, Matthias Heinrich, Demetrios N. Christodoulides, Alexander Szameit and Andrey A. Sukhorukov, 
  Synthesizing multi-dimensional excitation dynamics and localization transition in one-dimensional lattices, Nature Photonics 14, 76-81 (2020)
• Max Ehrhardt, Robert Keil, Lukas Maczewsky, Christoph Dittel, Matthias Heinrich, and Alexander Szameit, 
  Exploring complex graphs using three-dimensional quantum walks of correlated photons, Science Advances 7, eabc5266 (2021)
• A. R. Ramos Ramos, O. Kühn, 
  Direct Optimal Control Approach to Laser-Driven Quantum Particle Dynamics, Frontiers in Physics 9, 615168 (2021)
• A. R. Ramos Ramos, O. Kühn, 
  Manipulating the Dynamics of a Fermi Resonance with Light. A Direct Optimal Control Theory Approach, Chemical Physics 555, 111431 (2022)
• Max Ehrhardt, Matthias Heinrich, and Alexander Szameit, 
  Observation-dependent suppression and enhancement of two-photon coincidences by tailored losses, Nature Photonics 16, 191–195 (2022)
• N. Boroumand, A. Thorpe, A. M. Parks, and T. Brabec,
  Keldysh ionization theory of atoms: mathematical details, J. Phys. B: At. Mol. Opt. Phys. 55, 213001 (2022)