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arXiv · 1604.00388

Dynamics of the Area Law of Entanglement Entropy

Stefan Leichenauer·Mudassir Moosa·Michael Smolkin
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Abstract

We study the evolution of the universal area law of entanglement entropy when the Hamiltonian of the system undergoes a time dependent perturbation. In particular, we derive a general formula for the time dependent first order correction to the area law under the assumption that the field theory resides in a vacuum state when a small time-dependent perturbation of a relevant coupling constant is turned on. Using this formula, we carry out explicit calculations in free field theories deformed by a time dependent mass, whereas for a generic QFT we show that the time dependent first order correction is governed by the spectral function defining the two-point correlation function of the trace of the energy-momentum tensor. We also carry out holographic calculations based on the HRT proposal and find qualitative and, in certain cases, quantitative agreement with the field theory calculations.

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Stefan Leichenauer, Mudassir Moosa, Michael Smolkin. 2016-04-01. Dynamics of the Area Law of Entanglement Entropy. https://doi.org/10.1007/jhep09(2016)035

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