Work

Competitive algorithms for calculating the ground state properties of Bose-Fermi mixtures

Year: 2025

Type: article

Abstract: In this work we define, analyze, and compare different numerical schemes that can be used to study the ground state properties of Bose-Fermi systems, such as mixtures of different atomic species under external forces or self-bound quantum droplets. The bosonic atoms are assumed to be condensed and are described by the generalized Gross-Pitaevskii equation. The fermionic atoms, on the other hand, are treated individually, and each atom is associated with a wave function whose evolution follows the Hartree-Fock equation. We solve such a formulated set of equations using a variety of methods, including those based on adiabatic switching of interactions and the imaginary time propagation technique combined with the Gram-Schmidt orthonormalization or the diagonalization of the Hamiltonian matrix. We show how different algorithms compete at the numerical level by studying the mixture in the range of parameters covering the formation of self-bound quantum Bose-Fermi droplets. • Split operator method for the system of condensed bosons and degenerate fermions. • Ground state of the Bose-Fermi mixture by the Gram-Schmidt orthonormalization. • Ground state of the Bose-Fermi mixture by diagonalizing the Hamiltonian matrix. • Formation of Bose-Fermi droplets using the split operator method.

Source: Computer Physics Communications

DOI: 10.1016/j.cpc.2025.109897

Authors: Tomasz Świsłocki, Krzysztof Gawryluk, Mirosław Brewczyk, Tomasz Karpiuk

Institutions: Warsaw University of Life Sciences, University of Białystok

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: hybrid

Estimated APC paid: $4,160

Funder: Szkola Glówna Gospodarstwa Wiejskiego w Warszawie