Ground state energy of the low density Bose gas with three-body interactions
Phan Thành Nam, Julien Ricaud, Arnaud Triay
Abstract
We consider the low density Bose gas in the thermodynamic limit with a three-body interaction potential. We prove that the leading order of the ground state energy of the system is determined completely in terms of the scattering energy of the interaction potential. The corresponding result for two-body interactions was proved in seminal papers of Dyson [Phys. Rev. 106, 20–26 (1957)] and of Lieb and Yngvason [Phys. Rev. Lett. 80, 2504–2507 (1998)].
Topics & Concepts
Bose gasGround statePhysicsLimit (mathematics)Energy (signal processing)Scattering lengthScatteringMany-body problemQuantum mechanicsQuantum electrodynamicsBose–Einstein condensateMathematicsMathematical analysisCold Atom Physics and Bose-Einstein CondensatesQuantum, superfluid, helium dynamicsStrong Light-Matter Interactions