Ferromagnetic behaviour in the strongly interacting two-component Bose gas

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dc.creatorGuan, X. -W.
dc.creatorBatchelor, M. T.
dc.creatorTakahashi, M.
dc.date2007-07-04
dc.date2007-09-18
dc.date.accessioned2026-07-07T08:37:14Z
dc.date.available2026-07-07T08:37:14Z
dc.descriptionWe 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 $χ\sim T^{-2}$ 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.
dc.description15 pages, 6 figures, revised version, references added, minor corrections
dc.identifierhttps://arxiv.org/abs/0707.0613
dc.identifierhttp://arxiv.org/abs/0707.0613
dc.identifierPhys. Rev. A 76 (2007) 043617
dc.identifierdoi:10.1103/PhysRevA.76.043617
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140329
dc.subjectStatistical Mechanics
dc.subjectStrongly Correlated Electrons
dc.titleFerromagnetic behaviour in the strongly interacting two-component Bose gas
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