Mario Gattobigio

Maître de conférences hors classe · Université Côte d’Azur Institut de Physique de Nice · CNRS UMR 7010

Mario Gattobigio

I work on the quantum mechanical problem of few-body systems close to the unitary limit, where three or four particles stop depending on the details of the force between them and start to behave universally. I also use neural networks as solvers for these problems. I teach physics at Université Côte d’Azur, from the first undergraduate year through the master’s.

Recently

  • Aug 2026

    Spoke on Universality in alpha-cluster nuclei at EFB26 in Prague.

  • Apr 2026

    Invited talk, One Basis to Rule Them All, at the ECT* workshop on the fermion sign problem in Trento.

  • 2026

    FBCUBES starts — a four-year France–Brazil ANR project on universal behaviour in exotic nuclear systems, where I am co-PI and co-lead work package 3.

  • 2025–26

    On délégation at the CNRS.

  • Nov 2024

    Co-organised the INT program Quantum Few- and Many-Body Systems in Universal Regimes in Seattle.

What I work on

Universality near the unitary limit

Push the two-body scattering length far beyond the range of the interaction and few-body systems lose their memory of the microscopic detail. The famous consequence is the Efimov effect: three bosons develop an infinite tower of bound states, each one about 22.7 times wider than the one below it, repeating without end.

The theory I develop for this is a zero-shape theory, built on the S-matrix. In the non-relativistic framework a two-body problem is fixed by its S-matrix; keep the physical pole together with one more that sets the scale of the theory, and every shape parameter vanishes. A family of local potentials — the Bargmann potentials — realises that S-matrix exactly, so the theory and a potential calculation are the same thing.

Real systems are not at that idealised limit, and since 2008 most of my work has been about closing the gap — developing the theory of finite-range corrections that lets experimental and numerical data actually be confronted with universal predictions, and carrying it from three particles up to N bosons, as far as N = 6. Lately that has meant benchmarking the four-body problem against itself, and following the physics outward into hadronic correlations measured at the LHC.

Much of this only works because it is done with experimentalists. The clearest case is the 1S0 p–p scattering length: measured free of the Coulomb interaction by Aurora Tumino and her group, it becomes a number that universality has to account for, and the charge-symmetry test we published afterwards came straight out of that exchange. The same is true of correlation functions, where pΛ and ppΛ calculations meet what ALICE measures at the LHC, and of ultracold-gas experiments, which are where the tetramer limit cycle would be seen.

At the moment I am pushing it at alpha-cluster nuclei — 8Be, 12C, 16O and beyond. The universal Efimov function was built for bosons; alphas are weakly bound, they sit below threshold, and they carry charge. So the question is where the universal law breaks, and by how much: a two-body force alone reproduces 8Be but underbinds everything above it, which is what makes the three- and four-body terms interesting.

Neural networks as solvers

Since 2017 I have been using deep learning as a tool for quantum problems rather than as a subject of its own. Working with Paolo Recchia, we showed that gradient-based variational methods built on neural-network quantum states can come close to the exact solution of the few-body problem. That thread now carries into FBCUBES, where my task is to put neural networks inside a Faddeev–Yakubovsky solver and aim it at neutron-rich halo nuclei.

Before few-body physics

I came to this from elsewhere, and the detours still show. My thesis work was mathematical physics — the nonlinear Schrödinger equation solved quantum mechanically on the half-line, and before that an effective Lagrangian for black-hole horizon degrees of freedom. Then several years in nanoelectronics: transport and shot noise in quantum cellular automata, pair densities and Wigner crystallisation in quantum dots, the linear response of a strongly interacting one-dimensional Bose gas.

Selected papers

  • Excited state of the α particle: A benchmark study

    P. Y. Duerinck, A. Deltuva, J. Dohet-Eraly, M. Gattobigio, A. Kievsky, R. Lazauskas, +2 · Phys. Rev. C, 112, 044001 (2025)

    The first multi-group benchmark of the four-body problem: hyperspherical harmonics, Faddeev–Yakubovsky and effective-potential methods, all pointed at the excited state of 4He to see whether they agree. They do.

  • pΛ and ppΛ correlation functions

    E. Garrido, A. Kievsky, M. Gattobigio, M. Viviani, L. Marcucci, R. D. Grande, +2 · Phys. Rev. C 110, 054004, 2025 (2025)

    Few-body theory applied to correlation functions in hadronic physics, where it can be compared against what ALICE measures at the LHC.

  • Universal tetramer limit-cycle at the unitarity limit

    T. Frederico, M. Gattobigio · Phys. Rev. A, 108, 033302 (2023)

    With Tobias Frederico: the quantum tetramer has its own universal limit cycle at unitarity — the N = 4 rung of the Efimov ladder, and something ultracold-gas experiments could look for.

  • Coulomb-free 1S0 p–p scattering length from the quasi-free p + d → p + p + n reaction and its relation to universality

    A. Tumino, others · Communications Physics, 6, 106 (2023)

    Done with Aurora Tumino’s experimental group: they extract the 1S0 p–p scattering length free of Coulomb from the quasi-free p + d → p + p + n reaction, and we tie that number back to universality.

  • Subleading contributions to N-boson systems inside the universal window

    P. Recchia, A. Kievsky, L. Girlanda, M. Gattobigio · Phys. Rev. A, 106, 022812 (2022)

    Subleading corrections for N-boson systems inside the universal window. The central result of Paolo Recchia’s thesis.

All publications 68

68
  • 2026

    Advancing Machine Learning Applications in Quantum Few-Body Systems

    Z. Jin, P. Recchia, M. Gattobigio

    Few-Body Systems 67 37 doi

  • 2025

    pΛ and ppΛ correlation functions

    E. Garrido, A. Kievsky, M. Gattobigio, M. Viviani, L. Marcucci, R. D. Grande, L. Fabbietti, D. Melnichenko

    Phys. Rev. C 110 054004 2025 doi

  • 2025

    Test of the Charge Symmetry Hypothesis of NN Interaction from the Coulomb-Free p-p Scattering Cross Section and Its Relation to Universality

    A. Tumino, A. Kievsky, G. Rapisarda, M. L. Cognata, A. A. Oliva, C. Bertulani, G. D'agata, M. Gattobigio, G. L. Guardo, L. Lamia, +6

    Few-Body Systems 66 5 doi

  • 2025

    Investigation of the charge symmetry of the nuclear interaction using quasi-free scattering.

    A. Tumino, G. G. Rapisarda, M. La Cognata, A. Oliva, A. Kievsky, C. A. Bertulani, G. D'Agata, M. Gattobigio, G. L. Guardo, L. Lamia, +6

    Bullettin of the Gioenia Academy of Natural Sciences of Cataninia 58 389 doi

  • 2025

    Hyperradial energy density functional and effective interactions

    G. Orlandini, A. Kievsky, M. Gattobigio

    Journal of Subatomic Particles and Cosmology 4 100113 doi

  • 2025

    Excited state of the α particle: A benchmark study

    P. Y. Duerinck, A. Deltuva, J. Dohet-Eraly, M. Gattobigio, A. Kievsky, R. Lazauskas, D. Likandrovas, M. Viviani

    Phys. Rev. C 112 044001 doi

  • 2024

    The three-nucleon interaction in pionful and pionless effective field theory

    L. Girlanda, M. Gattobigio, A. Kievksy, L. E. Marcucci, M. Viviani

    POS PROCEEDINGS OF SCIENCE 413 016 doi

  • 2024

    The ppp correlation function with a screened Coulomb potential

    A. Kievsky, E. Garrido, M. Viviani, M. Gattobigio

    Few-Body Syst 65 23 doi

  • 2024

    The Steepest Slope toward a Quantum Few-Body Solution: Gradient Variational Methods for the Quantum Few-body Problem

    P. Recchia, D. Basu, M. Gattobigio, C. Miniatura, S. Bressan

    Few-Body Systems 65 102 doi

  • 2023

    Universal tetramer limit-cycle at the unitarity limit

    T. Frederico, M. Gattobigio

    Phys. Rev. A 108 033302 doi

  • 2023

    The Fate of excited state of 4He

    M. Gattobigio, A. Kievsky

    Few-Body Syst 64 86 2023 doi

  • 2023

    From correlations to universal behavior in few-nucleon systems

    A. Kievsky, M. Gattobigio, L. Girlanda, M. Viviani

    EPJ Web of Conf. 290 10008 doi

  • 2023

    Coulomb-free 1S0 p–p scattering length from the quasi-free p + d → p + p + n reaction and its relation to universality

    A. Tumino, others

    Communications Physics 6 106 doi

  • 2022

    Subleading contributions to N-boson systems inside the universal window

    P. Recchia, A. Kievsky, L. Girlanda, M. Gattobigio

    Phys. Rev. A 106 022812 doi

  • 2022

    Gaussian Parametrization of Efimov Levels: Remnants of Discrete Scale Invariance

    P. Recchia, A. Kievsky, L. Girlanda, M. Gattobigio

    Few-Body Systems 162 8 doi

  • 2021

    Many-body energy density functional

    A. Kievsky, G. Orlandini, M. Gattobigio

    Phys. Rev. A 104 L030801 doi

  • 2021

    Efimov Physics and Connections to Nuclear Physics

    A. Kievsky, M. Gattobigio, L. Girlanda, M. Viviani

    Annual Review of Nuclear and Particle Science 71 465 doi

  • 2020

    Transfer learning for scalability of neural-network quantum states

    R. Zen, L. My, R. Tan, F. H'ebert, M. Gattobigio, C. Miniatura, D. Poletti, S. Bressan

    Phys. Rev. E 101 053301 doi

  • 2020

    Gaussian characterization of the unitary window for N=3: Bound, scattering, and virtual states

    A. Deltuva, M. Gattobigio, A. Kievsky, M. Viviani

    Phys. Rev. C 102 064001 doi

  • 2020

    Finding Quantum Critical Points with Neural-Network Quantum States

    R. Zen, L. My, R. Tan, F. Hebert, M. Gattobigio, C. Miniatura, D. Poletti, S. Bressan

    Proceedings of the 24th European Conference on Artificial Intelligence (ECAI 2020)

  • 2020

    Few bosons to many bosons inside the unitary window: A transition between universal and nonuniversal behavior

    A. Kievsky, A. Polls, B. Juli'a-D'iaz, N. K. Timofeyuk, M. Gattobigio

    Phys. Rev. A 102 063320 doi

  • 2020

    Effective Field Theory Descriptions of Few-Nucleon Systems

    G. L., G. M., K. A., M. L.E., V. M.

    In: Orr N., Ploszajczak M., Marqu'es F.M., Carbonell J. (eds) Recent Progress in Few-Body Physics. FB22 2018 Springer Proceedings in Physics, vol 238. Springer, Cham doi

  • 2019

    More on the Universal Equation for Efimov States

    M. Gattobigio, M. G"obel, H. W. Hammer, A. Kievsky

    Few-Body Systems 60 40 doi

  • 2019

    Embedding nuclear physics inside the unitary-limit window

    M. Gattobigio, A. Kievsky, M. Viviani

    Phys. Rev. C 100 034004 doi

  • 2018

    1/2 spin-isospin fermions close to the unitary limit

    A. Kievsky, M. Gattobigio

    J. Phys.: Conf. Ser. 981 012021 doi

  • 2017

    Universal Behavior of Few-Boson Systems Using Potential Models

    A. Kievsky, M. Viviani, R. 'Alvarez-Rodr'iguez, M. Gattobigio, A. Deltuva

    Few-Body Syst 58 66 doi

  • 2017

    Implications of Efimov physics for the description of three and four nucleons in chiral effective field theory

    A. Kievsky, M. Viviani, M. Gattobigio, L. Girlanda

    Phys. Rev. C 95 024001 doi

  • 2016

    Weakly bound states with spin-isospin symmetry

    A. Kievsky, M. Gattobigio

    EPJ Web of Conferences 113 03001 doi

  • 2016

    Matching universal behavior with potential models

    R. 'Alvarez-Rodr'iguez, A. Deltuva, M. Gattobigio, A. Kievsky

    Phys. Rev. A 93 062701 doi

  • 2016

    Efimov physics with 1/2 spin-isospin fermions

    A. Kievsky, M. Gattobigio

    Few-Body Systems 57 217 doi

  • 2015

    Universal range corrections to Efimov trimers for a class of paths to the unitary limit

    A. Kievsky, M. Gattobigio

    Phys. Rev. A 92 062715 doi

  • 2015

    Enhancing quantum coherence with short-range correlated disorder

    P. Capuzzi, M. Gattobigio, P. Vignolo

    Phys. Rev. A 92 053622 doi

  • 2015

    Efimov Physics with a Finite-Range Parameter

    M. Gattobigio, A. Kievsky

    Few-Body Systems 56 881-887 doi

  • 2014

    Universality in few-body Systems: from few-atoms to few-nucleons

    A. Kievsky, M. Gattobigio, E. Garrido

    Journal of Physics: Conference Series 527 012001

  • 2014

    Universality and scaling in the N-body sector of Efimov physics

    M. Gattobigio, A. Kievsky

    Physical Review A 90 012502 doi

  • 2014

    Structure and Dynamics of Few-Helium Clusters using Soft-Core Potentials

    A. Kievsky, M. Viviani, M. Gattobigio, C. Romero-Redondo, E. Garrido

    Physics of Atomic Nuclei 77 463

  • 2014

    Some aspects of universality in Efimov physics

    M. Gattobigio, A. Kievsky

    Journal of Physics: Conference Series 527 012002

  • 2014

    N-boson spectrum from a discrete scale invariance

    A. Kievsky, N. K. Timofeyuk, M. Gattobigio

    Phys. Rev. A 90 032504 doi

  • 2014

    Efimov Spectrum in Bosonic Systems with Increasing Number of Particles

    A. Kievsky, M. Gattobigio, N. K. Timofeyuk

    Few-Body Systems 55 945 doi

  • 2013

    Universal nature and finite-range corrections in elastic atom-dimer scattering below the dimer breakup threshold

    A. Kievksy, M. Gattobigio

    Physical Review A 87 052719 doi

  • 2013

    Six-Bodies Calculations Using the Hyperspherical Harmonics Method

    M. Gattobigio, A. Kievsky, M. Viviani

    Few Body Systems 54 657

  • 2013

    Recombination rates from potential models close to the unitary limit

    E. Garrido, M. Gattobigio, A. Kievsky

    Physical Review A 88 032701 doi

  • 2013

    Efimov Physics in Small Bosonic Clusters

    M. Gattobigio, A. Kievsky, M. Viviani

    Few-Body Systems 54 1547 doi

  • 2012

    Energy spectra of small bosonic clusters having a large two-body scattering length

    M. Gattobigio, A. Kievsky, M. Viviani

    Physical Review A 86 042513

  • 2012

    A new, analytic, non-perturbative, gauge-invariant formulation of "realistic" QCD

    H. Fried, T. Grandou, Y. Gabellini, M. Gattobigio, Y. Sheu

    Progress in particle and nuclear physics 67 159 doi

  • 2011

    Suppression of Faraday waves in a Bose-Einstein condensate in the presence of an optical lattice

    P. Capuzzi, M. Gattobigio, P. Vignolo

    Phys. Rev. A 83 013603 doi

  • 2011

    Spectra of helium clusters with up to six atoms using soft-core potentials

    M. Gattobigio, A. Kievsky, M. Viviani

    Phys. Rev. A 84 052503 doi

  • 2011

    Nonsymmetrized hyperspherical harmonic basis for an A-body system

    M. Gattobigio, A. Kievsky, M. Viviani

    Phys. Rev. C 83 024001 doi

  • 2011

    Nonsymmetrized Hyperspherical Harmonics Approach to A=6 System

    M. Gattobigio, A. Kievsky, M. Viviani

    Few-Body Systems 50 463 doi

  • 2011

    Few-nucleon bound states using the unsymmetrized HH expansion

    M. Gattobigio, A. Kievsky, M. Viviani

    J. Phys.: Conf. Ser. 336 012006

  • 2011

    Exact solution for the degenerate ground-state manifold of a strongly interacting one-dimensional Bose-Fermi mixture

    B. Fang, P. Vignolo, M. Gattobigio, C. Miniatura, A. Minguzzi

    Phys. Rev. A 84 023626 doi

  • 2010

    QCD and Effective Locality

    H. M. Fried, Y. Gabellini, T. Grandou, Y. M. Sheu, M. Gattobigio

    AIP Conf. Proc. 1317 174 doi

  • 2009

    The harmonic hyperspherical basis for identical particles without permutational symmetry

    G. M., K. A., V. M., B. P.

    Phys. Rev. A 79 032513

  • 2009

    Non symmetrized basis function for identical particles

    G. M., K. A., V. M., B. P.

    Few Body Systems 45 127 doi

  • 2006

    Momentum distribution in Parabolic Quantum Dots

    G. M., C. P.

    Phys. Rev. B 73 235312

  • 2006

    Dynamic polarizability of 1D harmonically confined strongly interacting Bose gas

    G. M.

    J. Phys. B 39 S191

  • 2005

    Ground-state densities and pair correlation functions in parabolic quantum dots

    G. M., C. P., P. M., A. R., T. M. P.

    Phys. Rev. B 72 045306

  • 2003

    A QCA cell in silicon-on-insulator technology: theory and experiment

    M. M., G. M., B. L., I. G., P. F.E., S. C., W. G., K. D.P.

    SUPERLATTICES AND MICROSTRUCTURES 34 205 2003 doi

  • 2002

    Simulation of time evolution of clocked and nonclocked quantum cellular automaton circuits

    L. Bonci, M. Gattobigio, G. Iannaccone, M. Macucci

    J. Appl. Phys. 92 3169 doi

  • 2002

    Enhancement and suppression of shot noise in capacitively coupled metallic double dots

    M. Gattobigio, M.~Macucci, G. Iannaccone

    Phys. Rev. B 65 115337 doi

  • 2001

    Toward nanotechnology computer aided design: the NANOTCAD project

    G. Iannaccone, M. Macucci, P. Coli, G. Curatola, G. Fiori, M. Gattobigio, M. Pala

    IEEE-NANO 2001 117 doi

  • 2001

    Shot noise enhancement and suppression in systems of coupled quantum dots

    M. Gattobigio, G. Iannaccone, M. Macucci

    Proceeding of 16th International Conference on Noise in Physical Systems and 1/f Fluctuations, ICNF 2001 p. 447.

  • 2001

    Proposed experiment to asses operation of quantum cellular automaton cells

    M. Macucci, M. Gattobigio, G. Iannaccone

    J. Appl. Phys. 90 6428 doi

  • 2001

    Detection of Quantum Cellular Automaton Action in Silicon-on-insulator Cells

    M. Gattobigio, M. Macucci, G. Iannaccone

    VLSI Design 13 419 doi

  • 2000

    Design and simulation of an experiment for assessing the operation of QCA cells

    M.~Gattobigio, M. Macucci, G. Iannaccone

    7th International Workshop on Computational Electronics, Book of Abstracts IWCE 170 149 doi

  • 1999

    The nonlinear Schr\"odinger equation on the half line

    M. Gattobigio, A. Liguori, M.~Mintchev

    J. Math. Phys. 40 2949 doi

  • 1998

    Quantization of the Nonlinear Schr\"odinger Equation on the Half Line

    M. Gattobigio, A. Liguori, M. Mintchev

    Phys. Lett. B 428 143 doi

  • 1995

    Effective Lagrangian for quantum black holes

    A. Buonanno, M. Gattobigio, M. Maggiore, L. Pilo, C. Ungarelli

    Nucl. Phys. B 451 667 doi

Students & collaborators

Doctoral supervision

  • 2026–

    A doctoral position opens with FBCUBES, on artificial intelligence and Faddeev–Yakubovsky methods for exotic nuclear systems. Recruitment is under way.

  • 2019–22

    Paolo Recchia — PhD, Université Côte d’Azur. Tackling quantum few-body problems with neural networks. I directed it fully; three papers grew out of it.

  • 2017–22

    Remmy Augusta Menzata Zen — PhD, National University of Singapore, co-directed with Stéphane Bressan. Data-driven modelling, simulation and optimisation with deep learning.

Master’s internships along the way: Arun Kumar Puthiavan (2018) and Constant Shouder (2014) on Efimov physics and clustering, and earlier, in the ultracold lattice group, Laurent de Forges de Parny (2008), Xavier Roy (2007), Florence Haudin (2006) and Aline Vernier (2005) — the last three each ended in a paper. Martha Wolak and Kean Loon Lee, both doctoral students at the Centre for Quantum Technologies in Singapore, spent extended stays with us in Nice between 2008 and 2011.

Thesis juries

  • 2025

    Referee for Alireza Dehghani’s thesis, Université Paris-Saclay — Reactions with antiprotons in the theory of cold nuclear collisions.

  • 2021

    Referee for Alexandre Pricoupenko’s thesis, Université Paris-Saclay — Beyond-mean-field effects in ultracold gases.

  • 2019

    Referee for Rimantas Lazauskas’s habilitation, Université de Strasbourg — Application of the complex scaling method to quantum scattering theory.

  • 2015

    Referee for Jakob Knorborg Pedersen’s thesis, Aarhus University — Classical and quantum behaviour of dipoles on a helix.

I work regularly with Alejandro Kievsky and Michele Viviani in Pisa, Arnoldas Deltuva in Lisbon, Eduardo Garrido in Madrid, and Tobias Frederico in Brazil, and on the experimental side with Aurora Tumino and the quasi-free scattering group. I referee for Physical Review A and C, Few-Body Systems, and others.

Teaching & service

I carry a full teaching load of 192 HETD a year in the Portail Sciences programmes, from L1 to M1. From 2014 to 2019 I coordinated the third semester of the L2 physics track, which meant timetables, the teaching team, and chairing the progression board.

I sat on the INPHYNI laboratory council from 2020 to 2024, and ran the Sophia-Antipolis library for ten years before that. From 2016 to 2020 I was an elected member of section 04 of the CoNRS, led the cold molecules and N-body effects theme of the GDR Atomes Froids, and was the French lead of the PHC Merlion project with Singapore.

Positions

  • 2007–

    Maître de conférences, Université Côte d’Azur — INLN, then INPHYNI. Promoted to hors classe.

  • 2015

    Habilitation à diriger des recherches, Nice — An exploration of the Efimov window.

  • 2007

    Marie Curie fellow, University of Liverpool.

  • 2005–06

    ATER, Université de Nice.

  • 2002–06

    Postdoc at the Scuola Normale Superiore, Pisa, with R. Colle and then M. P. Tosi.

  • 1998–02

    Contract researcher with M. Macucci, University of Pisa — nanoelectronics.

  • 1996–99

    Scientific associate, INFN Pisa.

  • 1999

    PhD, University of Pisa, with M. Mintchev — algebraic methods for field theories on a space with a boundary.

  • 1995

    Laurea in fisica, University of Pisa, with M. Maggiore — effective Lagrangian for black holes in quantum gravity.

Contact

Name.Surname at univ-cotedazur.fr

Institut de Physique de Nice — UMR 7010
Université Côte d’Azur et CNRS
17 rue Julien Lauprêtre, 06200 Nice, France

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