@article{DialloHenkel2015, author = {Diallo, Abdoulaye and Henkel, Carsten}, title = {Excitations at the border of a condensate}, series = {Journal of physics : B, Atomic, molecular and optical physics}, volume = {48}, journal = {Journal of physics : B, Atomic, molecular and optical physics}, number = {16}, publisher = {IOP Publ. Ltd.}, address = {Bristol}, issn = {0953-4075}, doi = {10.1088/0953-4075/48/16/165302}, pages = {14}, year = {2015}, abstract = {We solve the Bogoliubov equations for an inhomogeneous condensate in the vicinity of a linear turning point. A stable integration scheme is developed using a transformation into an adiabatic basis. We identify boundary modes trapped in a potential whose shape is similar to a Hartree-Fock mean-field treatment. These modes are non-resonantly excited when bulk modes reflect at the turning point and contribute significantly to the spectrum of local density fluctuations.}, language = {en} }