Jan Philip Solovej: The Ground State of Quantum Gases

Explore the fascinating world of quantum gases in this 47-minute lecture by Jan Philip Solovej, presented by the International Mathematical Union. Delve into the thermodynamic limit, rigorous results, and experimental verification of quantum gas theories. Examine the groundbreaking Bogolubov approximation from 1947, including the diagonalization of Bogolubov Hamiltonians. Trace the development from Bogolubov's theory to the LHY (Lee-Huang-Yang) correction, and understand the rigorous mathematical arguments supporting these concepts. Gain valuable insights into the ground state of quantum gases and their significance in modern physics.

Intro
Outline of Talk
The thermodynamic limit
The rigorous results
The experimental verification
Bogolubov approximation (1947 Theory of Superfluidity)
Diagonalizing Bogolubov Hamiltonians
From Bogolubov approximation to LHY
The rigorous argument
Conclusion and Thank you for the attention