Programme

P.48 -- Poster, VCTP-48

Date: Thursday, 3 August 2023

Time: 08:30 - 10:00

Stationary characteristic quantities of contact interaction particle system in a harmonic trap or an optical lattice at extremely low temperature

Giau N. Nguyen (1), Khang M. Le (1), Uyen H.P. Mai (1), Thu D.H. Truong (1), Vinh N.T. Pham (1, 2)

(1) Department of Physics, Ho Chi Minh City University of Education, Ho Chi Minh City, Viet Nam. (2) Office of Postgraduate Studies, Ho Chi Minh City University of Education, Ho Chi Minh City, Viet Nam.

In this study, the ground-state properties of a one-dimensional system of a small number of interacting bosons confined in a harmonic trap or optical lattice are numerically investigated. When the temperature is exceedingly low and the quantum gases are dilute, the two-body interacting potential is a delta-function-modeled contact interaction. In order to validate the numerical results, the Bose-Fermi mapping theorem is applied to derive the analytical solutions of this system at the extremity of its interaction and demonstrates satisfactory coincident.

Presenter: Pham Nguyen Thanh Vinh