Work

Solution of a two-dimensional time-dependent Schrödinger equation describing two interacting atoms in an optical trap

Year: 2024

Type: article

Abstract: We introduce a numerical method to solve the two-dimensional time-dependent Schrödinger equation, which characterizes a system of two atoms with a finite-range interaction potential confined within a harmonic oscillator trap. We choose a Gaussian-shaped potential for the interaction potential. Such a system has been previously studied analytically, except that a zero-range interaction potential was used instead. We observe a strong agreement between the results for the two types of interactions. Also, we investigate the one-dimensional time-dependent Schrödinger equation for the relative motion and compute the ground state energy level as a function of the coupling strength.

Source: Вестник Российского университета дружбы народов. Серия: Математика, информатика, физика

DOI: 10.22363/2658-4670-2024-32-2-172-180

Authors: I. S. Ishmukhamedov, A. S. Ishmukhamedov, Zh. E. Jalankuzov

Institution: Al-Farabi Kazakh National University

Language: English

Topic: Cold Atom Physics and Bose-Einstein Condensates

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: Ministry of Education and Science of the Republic of Kazakhstan

Award: G8071944645