Prof. Serena Cenatiempo
Gran Sasso Science Institute (GSSI)
The Gross–Pitaevskii Equation and the Bogoliubov Conjecture
Wednesday, December 17th, 2025 - 16:30
Room 1A150 Torre Archimede
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The Gross–Pitaevskii equation is a dispersive partial differential equation describing the dynamics of a large number of cold atoms in the Bose–Einstein condensate phase. This is a fascinating quantum phase of matter, predicted by Einstein in 1925, whose first experimental realization was recognized by the 2001 Nobel Prize in Physics. Although heuristic derivations of the Gross–Pitaevskii equation date back to the 1960s, obtaining a rigorous derivation from the underlying many-body Schrödinger dynamics has required overcoming major mathematical challenges. In this talk, I will review these advances and discuss recent methods for characterizing fluctuations around the effective Gross–Pitaevskii dynamics. These methods provide a rigorous implementation of Bogoliubov’s heuristic theory (1957) in regimes where Bogoliubov’s original approximations are no longer valid.
Short Bio
Serena Cenatiempo is a full Professor in Mathematical Physics at Gran Sasso Science Institute (GSSI). She holds a PhD from Sapienza University of Rome; her academic journey includes postdoctoral positions at Roma Tre University, Hausdorff Center for Mathematics in Bonn, and ETH Zurich. Her research focuses on equilibrium and non-equilibrium properties of interacting quantum systems: emergence of collective behavior, derivation of effective evolution equations and universality. Prof. Cenatiempo was an invited speaker at the International Congress on Mathematical Physics (2018) and the Italian Mathematical Union Congress (2019). She is the recipient of the 2025 Frontiers of Science Award and of several significant research grants, including an ERC Starting Grant, and is actively involved in GSSI's PhD program and international relations.
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