Programme

P.25 -- Posters, VCTP-51

Date: Tuesday, 4 August 2026

Time: 09:30 - 10:30

A COMPUTATIONAL FRAMEWORK FOR SOLVING THE FEW-BODY SCHRÖDINGER EQUATION WITH QUANTUM INTERACTIONS

Phan Quang Son (1,2), Tran Duong Anh-Tai (3,4), Vinh N.T. Pham (5,6)

(1) Department of Theoretical Physics, Faculty of Physics and Engineering Physics, University of Science, Ho Chi Minh City 700000, Vietnam. (2) Vietnam National University, Ho Chi Minh City 700000, Vietnam. (3) Homer L. Dodge Department of Physics and Astronomy, The University of Oklahoma, 440 W. Brooks Street, Norman, Oklahoma 73019, USA. (4) Center for Quantum Research and Technology, The University of Oklahoma, 440 W. Brooks Street, Norman, Oklahoma 73019, USA. (5) Department of Physics, Ho Chi Minh City University of Education, Ho Chi Minh City 700000, Vietnam. (6) Office of Postgraduate Studies, Ho Chi Minh City University of Education; Ho Chi Minh City 700000, Vietnam.

This work presents a high-performance computational framework designed to solve the few-body Schrödinger equation using the configuration interaction scheme. The many-body Hamiltonian is constructed in a Fock-state basis and solved via exact diagonalization. To overcome the curse of dimensionality, the developed program integrates configuration-space reduction techniques with parallel computing algorithms, significantly reducing computational costs and extending applicability beyond conventional limits. Characterized by a modular architecture, the framework seamlessly adapts to diverse particle species, physical models, and interaction potentials. The program's accuracy and reliability are validated through benchmark calculations of low-dimensional confined systems, specifically 1D trapped bosons with delta-function interactions and fermions with regularized Coulomb potentials. This computational tool establishes a robust foundation for investigating both the stationary and dynamical properties of interacting quantum gases.

Presenter: Phan Quang Sơn