Finite-temperature phase diagram of a spin-1 Bose gas

  title={Finite-temperature phase diagram of a spin-1 Bose gas},
  author={Yuki Kawaguchi and Nguyen Thanh Phuc and P. B. Blakie},
  journal={Physical Review A},
We formulate a self-consistent Hartree-Fock theory for a spin-1 Bose gas at finite temperature and apply it to characterization of the phase diagram. We find that spin coherence between thermal atoms in different magnetic sublevels develops via coherent collisions with the condensed atoms, and is a crucial factor in determining the phase diagram. We develop analytical expressions to characterize the interaction- and temperature-dependent shifts of the phase boundaries. 

Figures from this paper

Stepwise Bose-Einstein Condensation in a Spinor Gas.
We observe multistep condensation of sodium atoms with spin F=1, where the different Zeeman components m_{F}=0,±1 condense sequentially as the temperature decreases. The precise sequence changes
Thermodynamics and magnetism of antiferromagnetic spinor Bose-Einstein condensates
In this manuscript, we present an experimental study of a Spin 1 Bose gas with antiferromagnetic interactions with ultracold sodium atoms in the F=1 manifold. The three Zeeman components are trapped
Magnetism in spin-1 Bose-Einstein condensates with antiferromagnetic interactions
In this thesis we study experimentally the magnetic properties of spin-1 Bose-Einstein condensate of Sodium at equilibrium. In this system the atoms can occupy any of the three Zeeman states
Complex Langevin approach to interacting Bose gases
Quantitative numerical analyses of interacting dilute Bose-Einstein condensates are most often based on semiclassical approximations. Since the complex-valued field-theoretic action of the Bose gas
Dipolar and spinor bosonic systems
The main properties and methods of describing dipolar and spinor atomic systems, composed of bosonic atoms or molecules, are reviewed. The general approach for the correct treatment of Bose-condensed
Spin-nematic order in antiferromagnetic spinor condensates
Large spin systems can exhibit unconventional types of magnetic ordering, different from the ferromagnetic or N\'eel-like antiferromagnetic order commonly found in spin 1/2 systems. Spin-nematic
Condensation and thermalization of an easy-plane ferromagnet in a spinor Bose gas
The extensive control of spin makes spintronics a promising candidate for future scalable quantum devices [1]. For the generation of spin-superfluid systems [2], a detailed understanding of the