Trial states for the zero temperature dilute Bose gas

Abstract: Non-relativistic interacting bosons at zero temperature, in two and three dimensions, are expected to exhibit a fascinating critical phase, famously known as condensate phase. Even though a proof of Bose-Einstein condensation in the thermodynamic limit is still beyond reach of the current available methods, the mathematical physics community has recently gained an enhanced comprehension of other aspects of the macroscopic behavior of low temperature Bose gases, in several interesting regimes. In this talk we review part of these advances, by describing trial states for the dilute three dimensional Bose gas, capturing the celebrated Lee-Huang-Yang sub-leading correction to the ground state energy. We conclude with some open questions and perspectives.

Based on joint works with G. Basti, C. Boccato, C. Brennecke, C. Caraci, A. Olgiati, G. Pasqualetti and B. Schlein.

mathematical physics

Audience: researchers in the discipline

One world IAMP mathematical physics seminar

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