Jeudi 19 mars 2020 à 14h00

Entanglement and thermalisation at the butterfly velocity

Wilke van der Schee, CERN

After a quench the entanglement entropy will saturate to its thermal value within a characteristic saturation time which is bounded by R/v_B with R the radius of the largest inscribed sphere and v_B the butterfly velocity. In this talk I will introduce the `membrane paradigm', which gives a hydrodynamic description of entanglement growth coming both from tensor networks as well as holography. Interestingly, both spheres and cylinders in neutral holographic plasmas saturate the butterfly bound, whereas stripes or spheres in charged plasmas do not saturate it. In this talk I will present results for a wide variety of shapes, showing that also a generic class 'between' spheres and cylinders saturates the bound.