Holographic geometry of cMERA for quantum quenches and finite temperature

Ali Mollabashi, Masahiro Naozaki, Shinsei Ryu, Tadashi Takayanagi

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55 Scopus citations

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 in 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. Open Access,

Original languageEnglish (US)
Article number98
JournalJournal of High Energy Physics
Volume2014
Issue number3
DOIs
StatePublished - Mar 1 2014
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Keywords

  • AdS-CFT Correspondence
  • Holography and condensed matter physics (AdS/CMT
  • Renormalization Group

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