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Paper IPM / P / 16102  


Abstract:  
We study the evolution of entanglement wedge cross section (EWCS) in the Vaidya geometry describing
a thin shell of null matter collapsing into the AdS vacuum to form a black brane. In the holographic context,
it is proposed that this quantity is dual to different information measures including entanglement of purification,
reflected entropy, odd entropy and logarithmic negativity. In 2+1 dimensions, we present a combination of numerical
and analytic results on the evolution and scaling of EWCS for strip shaped boundary subregions after a thermal quench.
In the limit of large subregions, we find that the time evolution of EWCS is characterized by three different scaling
regimes: an early time quadratic growth, an intermediate linear growth and a late time saturation. Further, in 3+1 dimensions,
we examine the scaling behavior by considering thermal and electromagnetic quenches. In the case of a thermal quench,
our numerical analysis supply results similar to observations made for the lower dimension. On the other hand, for
electromagnetic quenches, an interesting feature is a departure from the linear behavior of the evolution to logarithmic growth.
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