Corpus ID: 221554062

# Quantum aspects of chaos and complexity from bouncing cosmology: A study with two-mode single field squeezed state formalism

@article{Bhargava2020QuantumAO,
title={Quantum aspects of chaos and complexity from bouncing cosmology: A study with two-mode single field squeezed state formalism},
author={Parth Bhargava and Sayantan Choudhury and Satyaki Chowdhury and Anurag Mishara and Sachin Panneer Selvam and S. Panda and Gabriel D. Pasquino},
journal={arXiv: High Energy Physics - Theory},
year={2020}
}
$Circuit~ Complexity$, a well known computational technique has recently become the backbone of the physics community to probe the chaotic behaviour and random quantum fluctuations of quantum fields. This paper is devoted to the study of out-of-equilibrium aspects and quantum chaos appearing in the universe from the paradigm of two well known bouncing cosmological solutions viz. $Cosine~ hyperbolic$ and $Exponential$ models of scale factors. Besides $circuit~ complexity$, we use the $Out-of… Expand 9 Citations Circuit Complexity From Supersymmetric Quantum Field Theory With Morse Function • Computer Science, Physics • ArXiv • 2021 This paper studies the relationship between the circuit complexity and Morse theory within the framework of algebraic topology and provides a technical proof of the well known universal connecting relation between quantum chaos and circuit complexity of the supersymmetric quantum field theories, using the general description of Morse theory. Expand The Cosmological OTOC: A New Proposal for Quantifying Auto-Correlated Random Non-Chaotic Primordial Fluctuations This paper demonstrates a computational method to quantify the two different types of cosmological auto-correlated OTO functions during the epoch when the non-equilibrium features dominates in primordial cosmology and finds significantly distinguishable non-chaotic, but random, behaviour in the OTOauto-correlations. Expand MAGICAL CHAOTIC COSMOLOGICAL ISLANDS Recently in various theoretical works, a path-breaking progress has been made to recover the well known Page Curve of an evaporating black hole with the help of Quantum Extremal Surfaces (QES) akaExpand Cosmological Complexity in K-essence • Physics • 2021 Ai-chen Li a,b,∗ Xin-Fei Lic,† Ding-fang Zengd,‡ and Lei-Hua Liu a Institut de Ciències del Cosmos, Universitat de Barcelona, Mart́ı i Franquès 1, 08028 Barcelona, Spain b Departament de F́ısicaExpand Chaos and Complexity from Quantum Neural Network: A study with Diffusion Metric in Machine Learning • Physics, Computer Science • ArXiv • 2020 This work establishes the parametrized version of Quantum Complexity and Quantum Chaos in terms of physically relevant quantities, which are essential in determining the stability and essential in providing a very significant lower bound to the generalization capability of QNN. Expand Butterfly velocity and chaos suppression in de Sitter space In this note, we study the holographic CFT at finite temperature T in the de Sitter static patch and find that for a certain range of the Hubble parameter H and T butterfly velocity vB degenerates.Expand Circuit Complexity as a novel probe of Quantum Entanglement: A study with Black Hole Gas in arbitrary dimensions • Physics • 2021 Kiran Adhikari, Sayantan Choudhury2,3∗, Satyaki Chowdhury, K. Shirish , Abinash Swain 5∗ 1 Institute for Theoretical Particle Physics and Cosmology(TTK), RWTH Aachen University, D-52056, Aachen,Expand Circuit Complexity from Cosmological Islands By studying the cosmological circuit complexity, Out-of-Time Ordered Correlators, and entanglement entropy of the modes of the squeezed state, in different parameter space, it is concluded the non-universality of these measures. Expand The Squeezed OTOC and Cosmology • Physics • 2020 Exponential growth in the out-of-time-order correlator (OTOC) is an important potential signature of quantum chaos. The OTOC is quite simple to calculate for squeezed states, whose applications areExpand #### References SHOWING 1-10 OF 248 REFERENCES THE GENERALIZED OTOC FROM SUPERSYMMETRIC QUANTUM MECHANICS: Study of Random Fluctuations from Eigenstate Representation of Correlation Functions The concept of out-of-time-ordered correlation (OTOC) function is treated as a very strong theoretical probe of quantum randomness, using which one can study both chaotic and non-chaotic phenomena inExpand : THE COSMOLOGICAL OTOC: Formulating New Cosmological Micro-Canonical Correlation Functions for Random Chaotic Fluctuations in Out-Of-Equilibrium Quantum Statistical Field Theory A formalism is demonstrated using which for the first time the Cosmological OTOC is computed during the stochastic particle production during inflation and reheating following canonical quantization technique, which quantifies the random correlation at out-of-equilibrium. 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In this work, we study the phenomena of quantum entanglement by computing de Sitter entanglement entropy from Von Newmann measure. For this purpose we consider a bipartite quantum field theoreticExpand
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A bstractWe introduce a simple quantum generalization of the spectrum of classical Lyapunov exponents. We apply it to the SYK and XXZ models, and study the Lyapunov growth and entropy production. OurExpand
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Abstract In this work, we study the phenomena of quantum entanglement by computing de Sitter entanglement entropy from von Neumann measure. For this purpose we consider a bipartite quantum fieldExpand