Quantum quench and time evolution of mutual information with hyperscaling violation

We studied the time evolution of the mutual information after a quantum quench in the strongly coupled field theories. We use a hyperscaling-violating background and generalize the results of Tanhayi (JHEP, 1603, 202 (2016). doi: 10.1007/JHEP03(2016)202) to subregions with unequal lengths. Precisely, we consider two different strips as the entangling regions and use a holographic prescription to obtain the corresponding mutual information due to a time-dependent coupling in the probe sector. In this setup, due to the formation of apparent horizons, the thermalization can happen and we show that in this process the mutual information remains positive; nevertheless, for three entangling regions the corresponding quantity is negative.