The excitation spectrum of Bose gases interacting through singular potentials

Sunday, 16 April, 2017

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We consider systems of N bosons in a box with volume one, interacting through a repulsive two-body potential of the form \kappa N^{3\beta-1} V(N^\beta x). For all 0 < \beta < 1, and for sufficiently small coupling constant κ>0, we establish the validity of Bogoliubov theory, identifying the ground state energy and the low-lying excitation spectrum up to errors that vanish in the limit of large N.


Chiara Boccato
Christian Brennecke
Serena Cenatiempo
Benjamin Schlein