Third order corrections to the ground state energy of a Bose gas in the Gross-Pitaevskii regime

2023/11/13 by Caraci, Cristina, Olgiati, Alessandro, Aubin, Diane Saint +1
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Gases (cond-mat.quant-gas)

paper · doi:10.48550/arxiv.2311.07433

Abstract

For a translation invariant system of N bosons in the Gross-Pitaevskii regime, we establish a precise bound for the ground state energy E_N. While the leading, order N, contribution to E_N has been known since [30,28] and the second order corrections (of order one) have been first determined in [5], our estimate also resolves the next term in the asymptotic expansion of E_N, which is of the order (log N) / N.

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