3 papers
math-ph2022
Beyond mean field: condensate coupled with pair excitations
Stephen Sorokanich
We prove existence results for a system of partial differential equations describing the approximate condensate wavefunction and pair-excitation kernel of a dilute (T=0) Bose gas i…
math-ph2021
Excitation spectrum for the Lee-Huang-Yang model for the bose gas in a periodic box
Stephen Sorokanich
We derive a new formula for excited many-body eigenstates of the approximate Hamiltonian of Lee, Huang, and Yang, which describes the weakly interacting bose gas in a periodic box.…
math-ph2021
Many-body excitations in trapped Bose gas: A non-Hermitian view
Manoussos G. Grillakis, Dionisios Margetis, Stephen Sorokanich
We provide the analysis of a physically inspired model for a trapped dilute Bose gas with repulsive pairwise atomic interactions at zero temperature. Our goal is to describe aspect…