Chiara Boccato

I am a researcher at the University of Milan (since May 2021).

My research interests are centered on the mathematical study of many-body systems.
I focus on dynamical and spectral properties of the interacting Bose gas, and in particular
on the derivation of effective theories in the Gross-Pitaevskii regime.

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

I am coorganizing the Itinerant Quantum Math Meetings.

Publications and Preprints

1. Upper bound for the grand canonical free energy of the Bose gas in the Gross-Pitaevskii limit.
   C. Boccato, A. Deuchert, D. Stocker.
   arXiv:2305.19173 (2023)

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

3. 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

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

5. 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

6. 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

7. 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 degli Studi di Milano
Via Saldini 50
20133 Milano
Italy

Email: chiara.boccato[at]unimi.it
Office: 1040 (First floor)