Phase structure of binary Bose-Einstein condensates at finite temperature

The dynamical stability and its connection with phase structures of binary Bose-Einstein condensates (BECs) are systematically studied within framework of the Gross-Pitaevskii (GP) theory. We find that (a) the dynamical stability is the main factor governing both the symmetry breaking and the formation of various phases associated with the scenarios: symmetry restoration (SR) and inverse symmetry breaking (ISB); (b) the condensation of Bose gases might occur at constant temperature for chemical potentials varying in some definite regions. We suggest how to experimentally observe the foregoing phenomena whose possible existences in nature are theoretically confirmed.