Ferromagnetic behaviour in the strongly interacting two-component Bose gas

Abstract

We investigate the low temperature behaviour of the integrable 1D 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 $c_v\sim T^{1/2}$ and the susceptibility $\chi \sim T^{-2}$ 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.

15 pages, 6 figures, revised version, references added, minor corrections

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Cited by in corpus (7)

• Exact Solution of Strongly Interacting Quasi-One-Dimensional Spinor Bose Gases
• Spectral functions of strongly interacting isospin-1/2 bosons in one dimension
• Density-functional theory of two-component Bose gases in one-dimensional harmonic traps
• Ground-state properties of interacting two-component Bose gases in a one-dimensional harmonic trap
• Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
• Ground-state properties of interacting two-component Bose gases in a hard-wall trap
• Polylogs, thermodynamics and scaling functions of one-dimensional quantum many-body systems