Year: 2016
Type: article
Abstract: In 1963, Lieb and Liniger solved exactly a one-dimensional model of bosons interacting by a repulsive δ -potential and calculated the ground state in the thermodynamic limit. In the present work, we extend this model to a potential of three δ -functions—one of them is repulsive and the other two are attractive—modeling some aspects of the interaction between atoms, and we present an approximate solution for a dilute gas. In this limit, for low energy states, the results are found to be reduced to the ones of an effective Lieb–Liniger model with an effective δ -function of strength c eff and the regime of stability is identified. This may shed light on some aspects of interacting bosons.
Authors: Hagar Veksler, Shmuel Fishman
Institution: Technion – Israel Institute of Technology
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1919023979