Waking and Scrambling in Holographic Heating up

Abstract

We consider a holographic model of the heating up process. As a dual background we take a geometry describing thin shell accretion on a black brane. We find explicitly the time evolution of the mutual information during the non-equlibrium heating process from the initial temperature $T_i$ to the final temperature $T_f$ for the system of two intervals in the 1+1 dimensional case. We calculate widths and separation of twointervals for which the time dependence of the mutual information has the bell-like form, i.e. it starts from zero value at the wake up time, then reaches a maximal value and vanishes at the scrambling time. This form of the mutual information evolution was previously found in photosynthesis. The zone of the bell-like configurations exists for small distances $x<\log 2/2\pi T_i$ only for the particular interval sizes. For $x$ large enough, i.e. $x>>\log 2/2\pi T_i$, it exists only for large enough interval sizes and this zone becomes more narrow when $T_i$ increases and becomes larger with increasing of $T_f$.

17 pages, 9 figures. v2: typos corrected; references added

References in corpus (4)

• Evolution of Holographic Entanglement Entropy after Thermal and Electromagnetic Quenches
• Quantum Quench from a Thermal Initial State
• On entanglement spreading from holography
• On Holographic Thermalization and Dethermalization of Quark-Gluon Plasma

Cited by in corpus (5)

• Shaping contours of entanglement islands in BCFT
• Holographic Non-equilibrium Heating
• Complexity Growth Following Multiple Shocks
• Holographic control of information and dynamical topology change for composite open quantum systems
• Evolution of the holographic entanglement entropy quantities for composite quantum systems