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.
I am coorganizing the Itinerant Quantum Math Meetings.
Publications and Preprints
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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) -
The Bose gas in a box with Neumann boundary conditions.
C. Boccato, R. Seiringer.
Ann. Henri Poincaré 24, 1505-1560 (2023)
arXiv:2205.15284 -
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 -
Bogoliubov Theory in the Gross-Pitaevskii Limit.
C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein.
Acta Mathematica 222, 219-335 (2019)
arXiv:1801.01389 -
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 -
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 -
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
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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
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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 -
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
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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)