| We study the thermalization of a class of strongly coupled theories dual to differentAdS-Vaidya spacetime backgrounds, and the behaviors of the nonlocal observablesincluding equal time two-point functions, Wilson loops, entanglement entropy and mutualinformation in these homogeneous falling shell backgrounds, which are dual to the stronglycoupled field theories following a global quench. Firstly, we study the thermalization of aclass of four-dimensional strongly coupled theories dual to a five-dimensional AdS-Vaidyaspacetime with Gauss-Bonnet curvature corrections. By studying different probes, we havefound when boundary separation l is small the thermalization times of these nonlocalobservables have weak dependence on the Gauss-Bonnet coupling constant. In addition, thegrowth rate of entanglement entropy density is nearly volume independent. We also showthat a new kind of swallowtail behavior may appear in the thermalization of the two-pointfunction when α is negative and l is large enough. At large negative α the relationshipbetween the critical thermalization time of entanglement entropy and the boundaryseparation encounters a certain “phase transition.” Moreover, we study the holographicentanglement entropy in a homogeneous falling shell background, which is dual to thestrongly coupled field theory following a global quench. For d=2conformal field theories, itis known that the entropy has a linear growth regime if the scale of the entangling region islarge. In addition, the growth rate approaches a constant when the scale increases. Wedemonstrate analytically that this behavior is directly related to the part of minimal areasurface probing the interior of apparent horizons in the bulk, as well as the mutualinformation between two disjoint rectangular subsystems in the boundary. Furthermore, weshow numerically that all the results are universal for the d=3conformal field theory, thenon-relativistic scale-invariant theory and the dual theory of Gauss-Bonnet gravity. |
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