@article {doi:10.1142/S0129055X19500053,
	title = {Ground state energy of mixture of Bose gases},
	journal = {Reviews in Mathematical Physics},
	volume = {31},
	number = {02},
	year = {2019},
	pages = {1950005},
	abstract = {<p>We consider the asymptotic behavior of a system of multi-component trapped bosons, when the total particle number N becomes large. In the dilute regime, when the interaction potentials have the length scale of order O(N-1), we show that the leading order of the ground state energy is captured correctly by the Gross{\textendash}Pitaevskii energy functional and that the many-body ground state fully condensates on the Gross{\textendash}Pitaevskii minimizers. In the mean-field regime, when the interaction length scale is O(1), we are able to verify Bogoliubov{\textquoteright}s approximation and obtain the second order expansion of the ground state energy. While such asymptotic results have several precursors in the literature on one-component condensates, the adaptation to the multi-component setting is non-trivial in various respects and the analysis will be presented in detail.</p>},
	doi = {10.1142/S0129055X19500053},
	url = {https://doi.org/10.1142/S0129055X19500053},
	author = {Alessandro Michelangeli and Phan Thanh Nam and Alessandro Olgiati}
}
