The Correlation Energy of Many-Body Bose Systems (A04)

• Subject Area: Mathematics
• Term: since 2023
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 470903074

This project is devoted to the mathematical study of correlated Bose gases at very low temperatures in the dilute limit. We build on and extend the recently developed technique of generalized Bogolubov rotations. Among other things, we plan a derivation of the LHY correction at positive temperature, a proof of the second-order upper bound for hard-core potentials, and a proof of condensation for scaling limits beyond Gross-Pitaevskii toward a proof of BEC in the thermodynamic limit as ultimate goal.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 352: Mathematics of Many-Body Quantum Systems and Their Collective Phenomena
• International Connection: Switzerland
• Applicant Institution: Ludwig-Maximilians-Universität München
• Project Heads: Professor Dr. Christian Hainzl; Professor Dr. Benjamin Schlein; Dr. Arnaud Triay