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Holographic Geometry of cMERA for Quantum Quenches and Finite Temperature

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arxiv 1311.6095 v2 pith:ZVSJMV5D submitted 2013-11-24 hep-th cond-mat.str-elquant-ph

Ali Mollabashi , Masahiro Nozaki , Shinsei Ryu , Tadashi Takayanagi This is my paper · ORCID
classification hep-thcond-mat.str-elquant-ph
keywords cmeraquantumarxivcorrespondingfiniteholographicmetricquenches
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We study the time evolution of cMERA (continuous MERA) under quantum quenches in free field theories. We calculate the corresponding holographic metric using the proposal of arXiv:1208.3469 and confirm that 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 the cMERA for the quantum quench, we give an explicit construction of finite temperature cMERA. We also study cMERA in the presence of chemical potential and show that there is an enhancement of metric in the infrared region corresponding to the Fermi energy.

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Cited by 1 Pith paper

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  1. Reflections on Virasoro circuit complexity and Berry phase

    hep-th 2019-08 reject novelty 3.0 of 10

    A claimed identification of Virasoro circuit complexity with the Berry connection fails a basic consistency check for pure rotations.

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