2011/06/24 by Antoine Klauser, Jean-Sébastien Caux · 19 citations
Mathematics · Physics and Astronomy · #Ansatz #Bethe ansatz #Boson #Cold Atom Physics and Bose-Einstein Condensates #Component (thermodynamics) #Coupling (piping) #Crossover #Dimension (graph theory) #Ferromagnetism #Function (biology) #Materials science #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Statistical physics #cond-mat.quant-gas
paper · pdf · doi:10.1103/physreva.84.033604
published in Physical Review A 84(3) (American Physical Society) · 17 pages, 8 figures
arxiv created 2011/06/24 · openalex publication_date 2011/09/02 · arxiv updated 2011/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The interplay of quantum statistics, interactions, and temperature is studied within the framework of the bosonic two-component theory with repulsive delta-function interaction in one dimension. We numerically solve the thermodynamic Bethe ansatz and obtain the equation of state as a function of temperature and of the interaction strength, the relative chemical potential, and either the total chemical potential or a fixed number of particles, allowing quantification of the full crossover behavior of the system between its low-temperature ferromagnetic and high-temperature unpolarized regime, and from the low coupling decoherent regime to the fermionization regime at high interaction.