Spinor order parameter and equilibrium states of spin s = 1 Bose systems
A.V. Glushchenko and M.Yu. Kovalevsky
National Science Center “Kharkov Institute of Physics and Technology” 1 Akademicheskaya Str., Kharkov 61108, Ukraine
Received Jule 25, 2016, revised November 14, 2016
The problem of classification of degenerate equilibrium states in spin s = 1 systems in which the phase and magnetic symmetries are simultaneously broken is considered. An assumption about residual symmetry of degenerate equilibrium states and the transformation properties of the spinor order operator at trans-formations generated by additive integrals of motion, lead to equations that classify its equilibrium values. Anisotropic structure of equilibrium values of order parameter is presented in terms of the parameters of the residual symmetry generator. Based on the model with separated condensate, the structure of densities of magnetic additive integrals of motion in the equilibrium state has been found.
PACS: 03.75.Mn Multicomponent condensates; spinor condensates; PACS: 03.75.Hh Static properties of condensates; thermodynamical, statistical, and structural properties; PACS: 11.30.Qc Spontaneous and radiative symmetry breaking; PACS: 75.10.–b General theory and models of magnetic ordering.
Key words: spin, symmetry, quasiaverages, quadrupole matrix, spinor order parameter.