Abstract
The dynamical quantum phase transition (DQPT), which is featured by the nonanalytic behavior of the Loschmidt rate function in the real time evolution, has attracted substantial attention as a valuable theoretical concept for characterizing nonequilibrium states of quantum matter. Although the link between the DQPT and many physical concepts has been established, a thorough understanding of this transition still calls for more studies. In this paper, from the perspective of the quantum steering ellipsoid (QSE), we investigate the DQPTs supported in a one-dimensional spin chain with a deconfined quantum critical point by using the global subspace expansion time-dependent variational principle algorithm. For the quench from the valence-bond-solid phase to the ferromagnetic phase, we find a clear correspondence between the vanishing of the QSE volume and the occurrence of the DQPT. For the quench in the opposite direction, however, the QSE exhibits a rather complicated behavior during the time evolution. We also calculate the quantum entanglement and quantum coherence in the quench processes to unveil the change of the quantum correlations encoded in the QSE picture. These findings could offer a fascinating possibility of revealing DQPTs in a geometrically discernible manner.
Published Version
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