2007/07/31 by Xi‐Wen Guan, X. -W. Guan, Murray T. Batchelor +3
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum many-body systems #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.1103/physreva.76.043617
published as Phys. Rev. A 76 (2007) 043617 · 15 pages, 6 figures, revised version, references added, minor corrections
arxiv created 2007/09/18 · openalex publication_date 2007/10/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We investigate the low-temperature behavior of the integrable one-dimensional two-component spinor Bose gas using the thermodynamic Bethe ansatz. We find that for strong coupling the characteristics of the thermodynamics at low temperatures are quantitatively affected by the spin ferromagnetic states, which are described by an effective ferromagnetic Heisenberg chain. The free energy, specific heat, susceptibility, and local pair correlation function are calculated for various physical regimes in terms of temperature and interaction strength. These thermodynamic properties reveal spin effects which are significantly different than those of the spinless Bose gas. The zero-field susceptibility for finite strong repulsion exceeds that of a free spin paramagnet. The critical exponents of the specific heat cv\ensuremath∼T1∕2 and the susceptibility \ensuremathχ\ensuremath∼T^\ensuremath-2 are indicative of the ferromagnetic signature of the two-component spinor Bose gas. Our analytic results are consistent with general arguments by Eisenberg and Lieb for polarized spinor bosons.