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Quantum Simulation Entanglement Theory Quantum Correlations

Holographic Geometry of cMERA for Quantum Quenches and Finite Temperature

arXiv

Authors: Ali Mollabashi, Masahiro Nozaki, Shinsei Ryu, Tadashi Takayanagi

Year

2013

Paper ID

31769

Status

Preprint

Abstract Read

~2 min

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Abstract

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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We study the time evolution of cMERA (continuous MERA) under quantum quenches in free field theories.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1311.6095 [2] arXiv https://arxiv.org/abs/1311.6095 [3] Publisher https://arxiv.org/abs/1311.6095

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