-연사 : Miguel A. Alejo (Universidad de Córdoba)  

-제목 : Stability of nonlinear patterns in low dimensional Bose gases

-일시 : 2023년 8월 31일 (목) 14:00-14:50

-장소 : 종합과학관 A317호

-초록 : In this talk I will present recent results on the study of the orbital stability properties of the simplest nonlinear pattern in low dimensional Bose gases, the  black soliton solution. In the first part of the talk, I will introduce basic notions and concepts related to this quantum model as well as physical and mathematical motivations to approach that problem. In the second part of the talk, I will present a more detailed scheme of the main result of this work on stability of the black soliton. This is a solution of a one dimensional nonintegrable defocusing Schrödinger model, represented by the  quintic Gross-Pitaevskii equation (5GP). Once the black soliton is characterized as a critical point of the associated Ginzburg-Landau energy of the 5GP, I will show some coercivity properties of that energy around the black (and dark) soliton. I will also explain how to impose suitable orthogonality conditions and how to control the growth of some modulation parameters to finally prove that perturbations generated by the symmetries of the 5GP stay close to the black soliton in the energy space.

■ 문의: (02)3277-6990/ims@ewha.ac.kr