  We systematically analyze the various phase transitions of the anisotropic
Dicke model that is endowed with both rotating and counter-rotating
light-matter couplings. In addition to the ground state quantum phase
transition (QPT) from the normal to the super-radiant phase, the anisotropic
Dicke model also exhibits other transitions namely the excited state quantum
phase transition (ES- QPT), ergodic to non-ergodic transition (ENET) and the
temperature dependent phase transition. We show that these phase transitions
are profitably studied not only with the standard consecutive level spacing
ratio, but also with the aid of various eigenvector quantities such as von
Neumann entanglement entropy, the participation ratio, multifractal dimension
and mutual information. For ENET, both the statics and dynamics of the
participation ratio offer a consistent and useful picture. An exciting finding
from our work is that the ESQPT and the ENET are closely related to each other.
We show this with the aid of two characteristic energies in the spectrum
corresponding to jumps in von Neumann entropy.
