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Title: Ferromagnetic behavior in the strongly interacting two-component Bose gas

Abstract

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.

Authors:
 [1];  [1];  [2]
  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)
Publication Date:
OSTI Identifier:
21020784
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 76; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevA.76.043617; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Xiwen, Guan, Batchelor, Murray T, Mathematical Sciences Institute, Australian National University, Canberra ACT 0200, and Takahashi, Minoru. Ferromagnetic behavior in the strongly interacting two-component Bose gas. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.76.043617.
Xiwen, Guan, Batchelor, Murray T, Mathematical Sciences Institute, Australian National University, Canberra ACT 0200, & Takahashi, Minoru. Ferromagnetic behavior in the strongly interacting two-component Bose gas. United States. https://doi.org/10.1103/PHYSREVA.76.043617
Xiwen, Guan, Batchelor, Murray T, Mathematical Sciences Institute, Australian National University, Canberra ACT 0200, and Takahashi, Minoru. 2007. "Ferromagnetic behavior in the strongly interacting two-component Bose gas". United States. https://doi.org/10.1103/PHYSREVA.76.043617.
@article{osti_21020784,
title = {Ferromagnetic behavior in the strongly interacting two-component Bose gas},
author = {Xiwen, Guan and Batchelor, Murray T and Mathematical Sciences Institute, Australian National University, Canberra ACT 0200 and Takahashi, Minoru},
abstractNote = {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.},
doi = {10.1103/PHYSREVA.76.043617},
url = {https://www.osti.gov/biblio/21020784}, journal = {Physical Review. A},
issn = {1050-2947},
number = 4,
volume = 76,
place = {United States},
year = {Mon Oct 15 00:00:00 EDT 2007},
month = {Mon Oct 15 00:00:00 EDT 2007}
}