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Published on: March 30, 2017
Ground state energy of a dilute Bose gas with three-body hard-core interactions
Lukas Junge1, François L A Visconti2
1Department of Mathematics, Copenhagen University, Lyngbyvej 2, 2100 Copenhagen, Denmark.
Abstract:
We consider a gas of bosons interacting through a three-body hard-core potential in the thermodynamic limit. We derive an upper bound on the ground state energy of the system at the leading order using a Jastrow factor. Our result matches the lower bound proven by Nam-Ricaud-Triay (J Math Phys 63:071903, 2022) and therefore resolves the leading order. Moreover, a straightforward adaptation of our proof can be used for systems interacting via combined two-body and three-body interactions to generalise Theorem 1.2 from (Ann. Henri Poincaré, 2026) to hard-core potentials.
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