2009/12/10 by Barbara Capogrosso-Sansone, B. Capogrosso-Sansone, Ş. G. Söyler +5 · 1 citation
Mathematics · Physics and Astronomy · #Antiferromagnetism #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Ferromagnetism #Ising model #Lattice (music) #Magnetic field #Magnetic refrigeration #Magnetization #Mathematics #Monte Carlo method #Opinion Dynamics and Social Influence #Physics #Quantum mechanics #Statistical physics #Statistics #Theoretical and Computational Physics #cond-mat.other #cond-mat.quant-gas
paper · pdf · doi:10.1103/physreva.81.053622
published as Phys. Rev. A 81, 053622 (2010) · 6 pages, 6 figures
arxiv created 2009/12/10 · openalex publication_date 2010/05/21 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We perform a numeric study (Worm algorithm Monte Carlo simulations) of ultracold two-component bosons in two- and three-dimensional optical lattices. At strong enough interactions and low enough temperatures the system features magnetic ordering. We compute critical temperatures and entropies for the disappearance of the Ising antiferromagnetic and the xy-ferromagnetic order and find that the largest possible entropies per particle are ~0.5kB. We also estimate (optimistically) the experimental hold times required to reach equilibrium magnetic states to be on a scale of seconds. Low critical entropies and long hold times render the experimental observations of magnetic phases challenging and call for increased control over heating sources.