Holographic geometry of cMERA for quantum quenches and finite temperature

Ali Mollabashi; Masahiro Naozaki; Shinsei Ryu; Tadashi Takayanagi

doi:10.1007/JHEP03(2014)098

Holographic geometry of cMERA for quantum quenches and finite temperature

Ali Mollabashi, Masahiro Naozaki, Shinsei Ryu, Tadashi Takayanagi

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66 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 language	English (US)
Article number	98
Journal	Journal of High Energy Physics
Volume	2014
Issue number	3
DOIs	https://doi.org/10.1007/JHEP03(2014)098
State	Published - Mar 1 2014
Externally published	Yes

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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10.1007/JHEP03(2014)098

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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 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,",

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AU - Mollabashi, Ali

AU - Naozaki, Masahiro

AU - Ryu, Shinsei

AU - Takayanagi, Tadashi

PY - 2014/3/1

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AB - 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,

KW - AdS-CFT Correspondence

KW - Holography and condensed matter physics (AdS/CMT

KW - Renormalization Group

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Holographic geometry of cMERA for quantum quenches and finite temperature

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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