Chiara Boccato

Chiara Boccato

I am a researcher at the University of Pisa (since May 2024).

My research interests are centered on the mathematical study of many-body quantum systems. I focus on dynamical and spectral properties, and on the derivation of effective theories describing their emergent collective behavior.

My CV is available here. Here you find my Scopus and Google Scholar pages.

I am the local coordinator of the project PRIN 2022 "Interacting Quantum Systems: Topological Phenomena and Effective Theories".

This spring semester 2025 I am giving the PhD course "Mathematical methods of quantum mechanics", open to Master's and PhD students. A presentation of the course here. More details here (frequent updates).

Publications and Preprints

  1. Derivation of Hartree-Fock dynamics and semiclassical commutator estimates for fermions in a magnetic field.
    N. Benedikter, C. Boccato, D. Monaco, N. N. Nguyen.
    arXiv:2503.16001

  2. Interacting many-particle systems in the random Kac–Luttinger model and proof of Bose–Einstein condensation.
    C. Boccato, J. Kerner, M. Pechmann.
    Journal de Mathématiques Pures et Appliquées 189, 103594 (2024)
    arXiv:2312.14357

  3. Upper bound for the grand canonical free energy of the Bose gas in the Gross-Pitaevskii limit.
    C. Boccato, A. Deuchert, D. Stocker.
    SIAM Journal on Mathematical Analysis 56 (2024)
    arXiv:2305.19173

  4. The Bose gas in a box with Neumann boundary conditions.
    C. Boccato, R. Seiringer.
    Ann. Henri Poincaré 24, 1505-1560 (2023)
    arXiv:2205.15284

  5. Optimal Rate for Bose-Einstein Condensation in the Gross-Pitaevskii Regime.
    C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein.
    Commun. Math. Phys. 376, 1311–1395 (2020)
    arXiv:1812.03086

  6. Bogoliubov Theory in the Gross-Pitaevskii Limit.
    C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein.
    Acta Mathematica 222, 219-335 (2019)
    arXiv:1801.01389

  7. The Excitation Spectrum of Bose Gases Interacting Through Singular Potentials.
    C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein.
    J. Eur. Math. Soc. 22, 2331–2403 (2020)
    arXiv:1704.04819

  8. Complete Bose-Einstein Condensation in the Gross-Pitaevskii Regime.
    C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein.
    Commun. Math. Phys. 359, 975-1026 (2018)
    arXiv:1703.04452

  9. Quantum Many-Body Fluctuations Around Nonlinear Schrödinger Dynamics.
    C. Boccato, S. Cenatiempo, B. Schlein.
    Ann. Henri Poincaré 18, 113 (2017)
    arXiv:1509.03837

Book Chapter

  1. Correlation corrections as a perturbation to the quasi-free approximation in many-body quantum systems.
    N. Benedikter, C. Boccato.
    Encyclopedia of Complexity and Systems Science, Robert A. Meyers (Ed), Springer (2022).

Conference Proceedings

  1. The Bose gas in a box with Neumann boundary conditions.
    C. Boccato.
    Contribution to the Oberwolfach report “A Geometric Fairytale full of Spectral Gaps and Random Fruit”.
    Report No. 53/2022

  2. The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii Regime.
    C. Boccato.
    Contribution to Proceedings of QMath14. Aarhus, August 2019.
    Rev. Math. Phys. 32, 2060006 (2020)
    arXiv:2001.00497

  3. The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii Regime.
    C. Boccato.
    Contribution to the Oberwolfach report “Many–Body Quantum Systems”.
    Report No. 41/2019

Contact

Università di Pisa
Via Buonarroti 1/c
56127 Pisa
Italy

Email: chiara.boccato [at] unipi.it
Office: ex DMA, Second floor, Room 7