A new second-order upper bound for the ground state energy of dilute Bose gases
Giulia Basti, Serena Cenatiempo, Benjamin Schlein
Abstract
We establish an upper bound for the ground state energy per unit volume of a dilute Bose gas in the thermodynamic limit, capturing the correct second-order term, as predicted by the Lee-Huang-Yang formula. This result was first established in [20] by H.-T. Yau and J. Yin. Our proof, which applies to repulsive and compactly supported, gives better rates and, in our opinion, is substantially simpler.
Topics & Concepts
Bose gasGround stateUpper and lower boundsLimit (mathematics)Order (exchange)Energy (signal processing)PhysicsVolume (thermodynamics)State (computer science)Unit (ring theory)Mathematical physicsThermodynamic limitQuantum mechanicsMathematicsThermodynamicsStatistical physicsBose–Einstein condensateMathematical analysisEconomicsMathematics educationAlgorithmFinanceCold Atom Physics and Bose-Einstein CondensatesSpectral Theory in Mathematical PhysicsGas Dynamics and Kinetic Theory