Ferromagnetic behavior in the strongly interacting two-component Bose gas

Journal Article · Mon Oct 15 00:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.043617· OSTI ID:21020784

Xiwen, Guan ^[1]; Batchelor, Murray T ^[1]; Takahashi, Minoru ^[2]

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1. Department of Theoretical Physics, Research School of Physical Sciences and Engineering, Australian National University, Canberra ACT 0200 (Australia)
2. Department of Physics, Toho University, Miyama 2-2-1, Funabashi 274-8510 (Japan)

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 c{sub v}{approx}T{sup 1/2} and the susceptibility {chi}{approx}T{sup -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.

• OSTI ID: 21020784
• Journal Information: Physical Review. A, Vol. 76, Issue 4; Other Information: DOI: 10.1103/PhysRevA.76.043617; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ATOM-ATOM COLLISIONS
BOSE-EINSTEIN GAS
BOSONS
CORRELATION FUNCTIONS
FERROMAGNETISM
FREE ENERGY
HEISENBERG MODEL
INTERACTIONS
MAGNETIC SUSCEPTIBILITY
ONE-DIMENSIONAL CALCULATIONS
SPECIFIC HEAT
SPIN
STRONG-COUPLING MODEL
TEMPERATURE RANGE 0065-0273 K
THERMODYNAMICS