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We study the time evolution of cMERA (continuous MERA) under quantum quenches of free field theories. We calculate the corresponding holographic metric using the proposal in arXiv:1208.3469 and confirm it qualitatively agrees with its
gravity dual given by a half of the AdS black hole spacetime, argued by Hartman and Maldacena in arXiv:1303.1080. By doubling this cMERA for the quantum quench, we give an explicit construction of Finite Temperature cMERA dual to a AdS black hole.
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