Second-order energy expansion of Bose gases with three-body interactions

Key Points

• The analysis confirms that the leading term in energy expansion aligns with predictions of order $ {N}$.
• A specific conjecture provides insight into the relationship between ground state energy and particle interactions.
• It demonstrates that low-energy bosonic states exhibit Bose-Einstein condensation, with a rate of $N^{-rac {3}{4}}$.
• The findings enhance understanding of many-body quantum systems governed by three-body interactions.