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arXiv · 2503.18090

Entanglement entropy and its linear response following a global quench in holographic Gauss-Bonnet gravity

Sabyasachi Maulik·Soumen Pari
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Abstract

Growth of entanglement entropy in time-dependent states formed due to a global quench in holographic conformal field theories which admit an Einstein-Gauss-Bonnet dual gravity description is studied. The global quench in the bulk is modelled by an AdS Vaidya solution with an electric charge. It is observed that the Gauss-Bonnet correction parameter leads to faster thermalization, and lower saturation entropy. The rate of growth also depends crucially on the correction, and may exceed 1 in general spacetime dimensions. Nevertheless, the growth still follows the universal pattern expected for relativistic CFTs. Additionally, a time-dependent analogue of relative entropy introduced in [12] is generalized to include correction from the Gauss-Bonnet parameter. We demonstrate our findings through concrete examples, including instantaneous, linear, and periodically driven quenches. We also briefly mention the evolution of mutual information.

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Sabyasachi Maulik, Soumen Pari. 2025-03-23. Entanglement entropy and its linear response following a global quench in holographic Gauss-Bonnet gravity. https://doi.org/10.1016/j.nuclphysb.2025.117084

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