2020/06/01 by Robert Altmann, Altmann, Robert, Patrick Henning +3 · 1 citation
Physics and Astronomy · #47H40 #65N25 #81Q10 #Advanced Thermodynamics and Statistical Mechanics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #FOS: Physical sciences #Numerical Analysis (math.NA) #Quantum Gases (cond-mat.quant-gas) #Quantum many-body systems
paper · pdf · doi:10.48550/arxiv.2006.00773
openalex publication_date 2020/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
This paper studies the localization behaviour of Bose-Einstein condensates in disorder potentials, modeled by a Gross-Pitaevskii eigenvalue problem on a bounded interval. In the regime of weak particle interaction, we are able to quantify exponential localization of the ground state, depending on statistical parameters and the strength of the potential. Numerical studies further show delocalization if we leave the identified parameter range, which is in agreement with experimental data. These mathematical and numerical findings allow the prediction of physically relevant regimes where localization of ground states may be observed experimentally.