Interaction-driven dynamical quantum phase transitions in a strongly correlated bosonic system

Dynamical quantum phase transitions in the one-dimensional extended Fermi-Hubbard model

“…when |ψ 0 and the ground state of H correspond to different phases. However, several exceptions have been reported [16,19,43], so no one-to-one correspondence between DQPTs and equilibrium quantum phase transitions can be established. In addition, it is common to look for manifestations of dynamical criticality beyond nonanalyticities of λ(t).…”

“…Extending this idea to the nonequilibrium realm, a DQPT at a critical time t * (instead of a critical control parameter) is said to occur when during the dynamics, such zeros are crossed [15]. A vast amount of recent theoretical research has been devoted to study this beautiful insight in systems of different nature, namely spin [15,[17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32], fermionic [33][34][35][36][37], bosonic [38][39][40][41][42][43], and hybrid models [44]. This effort also includes the analysis of the impact of ingredients such as disorder [45,46] and topological order [47,48].…”