On microscopic theory of spin-S Bose-Einstein condensate in a magnetic field

Abstract

The Bogoliubov model for weakly interacting Bose gas is extended to Bose-Einstein condensation (BEC) of spin-S atoms in a magnetic field. Equation for the vectorial order parameter valid at temperature $T\to 0$ is derived and its particular solution is found. This solution corresponds to the formation of BEC of atoms with a definite spin projection onto direction of a magnetic field. We study the thermodynamic stability of the found solution and obtain the expressions for low-lying collective modes.

arXiv comment11 pages

References in corpus (11)

• Spinor Bose Condensates in Optical Traps
• Optical Confinement of a Bose-Einstein Condensate
• Bose-Einstein condensation with internal degrees of freedom in alkali atom gases
• Bose-Einstein Condensation of Atomic Hydrogen
• Quantum spins mixing in spinor Bose-Einstein condensates
• Bose-Einstein Condensation of Metastable Helium
• Fragmented and Single Condensate Ground States of Spin-1 Bose Gas
• Exact Eigenstates and Magnetic Response of Spin-1 and Spin-2 Vectorial Bose-Einstein Condensates
• Theory of spin-2 Bose-Einstein condensates: spin-correlations, magnetic response, and excitation spectra
• Many-Body Theory of Dilute Bose-Einstein Condensates with Internal Degrees of Freedom
• Collective excitations in a F=2 Bose-Einstein condensate

Cited by in corpus (5)

• Magnetic phases and phase diagram of spin-1 condensate with quadrupole degrees of freedom
• SU(3) symmetry in theory of a weakly interacting gas of spin-1 atoms with Bose-Einstein condensate
• Re-examining the quadratic approximation in theory of a weakly interacting Bose gas with condensate: the role of nonlocal interaction potentials
• Broken-axisymmetry state and magnetic state diagram of spin-1 condensate through the prism of quadrupole degrees of freedom
• General collisionless kinetic approach to studying excitations in arbitrary-spin quantum atomic gases