Dynamics of the area law of entanglement entropy

作者：Leichenauer Stefan^*; Moosa Mudassir; Smolkin Michael

来源：The Journal of High Energy Physics, 2016, 2016(9): 035.

DOI：10.1007/JHEP09(2016)035

• AdS-CFT Correspondence
• Field Theories in Higher Dimensions

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.

• 出版日期2016-9-7