TY - JOUR
AB - We review recent progress towards a rigorous understanding of the excitation spectrum of bosonic quantum many-body systems. In particular, we explain how one can rigorously establish the predictions resulting from the Bogoliubov approximation in the mean field limit. The latter predicts that the spectrum is made up of elementary excitations, whose energy behaves linearly in the momentum for small momentum. This property is crucial for the superfluid behavior of the system. We also discuss a list of open problems in this field.
AU - Seiringer, Robert
ID - 10814
JF - Jahresbericht der Deutschen Mathematiker-Vereinigung
KW - General Medicine
SN - 0012-0456
TI - The excitation spectrum for Bose fluids with weak interactions
VL - 116
ER -