Circuit Complexity from Cosmological Islands
| Autor: | Satyaki Chowdhury, Sudhakar Panda, Chiranjeeb Singha, Abinash Swain, Gabriel D. Pasquino, Anurag Mishara, Nitin Gupta, Sachin Panneer Selvam, Sayantan Choudhury |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
High Energy Physics - Theory
Physics and Astronomy (miscellaneous) General relativity General Mathematics Black hole information paradox FOS: Physical sciences Quantum entanglement Cosmological constant General Relativity and Quantum Cosmology (gr-qc) 01 natural sciences General Relativity and Quantum Cosmology Cosmology symbols.namesake Theoretical physics De Sitter universe Friedmann–Lemaître–Robertson–Walker metric 0103 physical sciences Computer Science (miscellaneous) quantum extremal surface cosmological complexity QA1-939 Circuit complexity 010306 general physics acoustics Physics Quantum Physics 010308 nuclear & particles physics Disordered Systems and Neural Networks (cond-mat.dis-nn) Condensed Matter - Disordered Systems and Neural Networks Nonlinear Sciences - Chaotic Dynamics Black hole High Energy Physics - Theory (hep-th) Chemistry (miscellaneous) cosmological islands symbols Quantum gravity Anti-de Sitter space Chaotic Dynamics (nlin.CD) Quantum Physics (quant-ph) Mathematics Squeezed coherent state |
| Zdroj: | Symmetry, Vol 13, Iss 1301, p 1301 (2021) Symmetry Volume 13 Issue 7 |
| ISSN: | 2073-8994 |
| Popis: | Recently in various theoretical works, path-breaking progress has been made in recovering the well-known Page Curve of an evaporating black hole with Quantum Extremal Islands, proposed to solve the long-standing black hole information loss problem related to the unitarity issue. Motivated by this concept, in this paper, we study cosmological circuit complexity in the presence (or absence) of Quantum Extremal Islands in the negative (or positive) Cosmological Constant with radiation in the background of Friedmann-Lema$\hat{i}$tre-Robertson-Walker (FLRW) space-time i.e the presence and absence of islands in anti-de Sitter and the de Sitter spacetime having SO(2, 3) and SO(1, 4) isometries respectively. Without using any explicit details of any gravity model, we study the behaviour of the circuit complexity function with respect to the dynamical cosmological solution for the scale factors for the above-mentioned two situations in FLRW space-time using squeezed state formalism. By studying the cosmological circuit complexity, Out-of-Time Ordered Correlators, and entanglement entropy of the modes of the squeezed state, in different parameter spaces, we conclude the non-universality of these measures. Their remarkably different features in the different parameter spaces suggest their dependence on the parameters of the model under consideration. Comment: 75 pages, 29 figures, 4 tables, Dr. Sayantan Choudhury would like to dedicate this work to his lovable father and prime inspiration Professor Manoranjan Choudhury who recently have passed away due to COVID 19. Updated and revised version, Accepted for publication in Symmetry (section: Physics and Symmetry/Asymmetry, Special issue: Manifest and Hidden Symmetries in Field and String Theories) |
| Databáze: | OpenAIRE |
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