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TMF, 2017, Volume 193, Number 3, Pages 493–504 (Mi tmf9403)  

This article is cited in 1 scientific paper (total in 1 paper)

Holographic control of information and dynamical topology change for composite open quantum systems

I. Ya. Aref'eva, I. V. Volovich, O. V. Inozemcev

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

Abstract: We analyze how the compositeness of a system affects the characteristic time of equilibration. We study the dynamics of open composite quantum systems strongly coupled to the environment after a quantum perturbation accompanied by nonequilibrium heating. We use a holographic description of the evolution of entanglement entropy. The nonsmooth character of the evolution with holographic entanglement is a general feature of composite systems, which demonstrate a dynamical change of topology in the bulk space and a jumplike velocity change of entanglement entropy propagation. Moreover, the number of jumps depends on the system configuration and especially on the number of composite parts. The evolution of the mutual information of two composite systems inherits these jumps. We present a detailed study of the mutual information for two subsystems with one of them being bipartite. We find five qualitatively different types of behavior of the mutual information dynamics and indicate the corresponding regions of the system parameters.

Keywords: holographic entanglement entropy, mutual information, AdS/CFT, Vaidya.

Funding Agency Grant Number
Russian Science Foundation 17-71-20154
This research is supported by a grant from the Russian Science Foundation (Project No. 17-71-20154).


DOI: https://doi.org/10.4213/tmf9403

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English version:
Theoretical and Mathematical Physics, 2017, 193:3, 1834–1843

Bibliographic databases:

Received: 23.05.2017

Citation: I. Ya. Aref'eva, I. V. Volovich, O. V. Inozemcev, “Holographic control of information and dynamical topology change for composite open quantum systems”, TMF, 193:3 (2017), 493–504; Theoret. and Math. Phys., 193:3 (2017), 1834–1843

Citation in format AMSBIB
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\paper Holographic control of information and dynamical topology change for
composite open quantum systems
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\vol 193
\issue 3
\pages 493--504
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\crossref{https://doi.org/10.4213/tmf9403}
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\jour Theoret. and Math. Phys.
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\vol 193
\issue 3
\pages 1834--1843
\crossref{https://doi.org/10.1134/S0040577917120091}
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. I. Ya. Aref'eva, I. V. Volovich, O. V. Inozemtsev, “Evolution of holographic entropy quantities for composite quantum systems”, Theoret. and Math. Phys., 197:3 (2018), 1838–1844  mathnet  crossref  crossref  adsnasa  isi  elib
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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