Quantum out-of-equilibrium cosmology

Autor: Arkaprava Mukherjee, Sayantan Choudhury, Prashali Chauhan, Sandipan Bhattacherjee
Rok vydání: 2019
Předmět:
High Energy Physics - Theory
Cosmology and Nongalactic Astrophysics (astro-ph.CO)
Physics and Astronomy (miscellaneous)
Measure (physics)
FOS: Physical sciences
lcsh:Astrophysics
General Relativity and Quantum Cosmology (gr-qc)
Lyapunov exponent
01 natural sciences
General Relativity and Quantum Cosmology
symbols.namesake
High Energy Physics - Phenomenology (hep-ph)
lcsh:QB460-466
0103 physical sciences
Quantum system
lcsh:Nuclear and particle physics. Atomic energy. Radioactivity
Statistical physics
010306 general physics
Engineering (miscellaneous)
Condensed Matter - Statistical Mechanics
Randomness
Inflation (cosmology)
Physics
Statistical Mechanics (cond-mat.stat-mech)
010308 nuclear & particles physics
Statistical mechanics
Quantum chaos
High Energy Physics - Phenomenology
High Energy Physics - Theory (hep-th)
symbols
lcsh:QC770-798
Random matrix
Astrophysics - Cosmology and Nongalactic Astrophysics
Zdroj: European Physical Journal
European Physics Journal C
European Physical Journal C: Particles and Fields, Vol 79, Iss 4, Pp 1-107 (2019)
ISSN: 1434-6052
1434-6044
Popis: In this work, our prime focus is to study the one to one correspondence between the conduction phenomena in electrical wires with impurity and the scattering events responsible for particle production during stochastic inflation and reheating implemented under a closed quantum mechanical system in early universe cosmology. In this connection, we also present a derivation of fourth order corrected version of the Fokker Planck equation and its analytical solution for studying the dynamical features of the particle creation events in the stochastic inflation and reheating stage of the universe. It is explicitly shown from our computation that quantum corrected Fokker Planck equation describe the particle creation phenomena better for Dirac delta type of scatterer. In this connection, we additionally discuss It$\hat{o}$, Stratonovich prescription and the explicit role of finite temperature effective potential for solving the probability distribution profile. Furthermore, we extend our discussion to describe the quantum description of randomness involved in the dynamics. We also present a computation to derive the expression for the measure of the stochastic non-linearity arising in the stochastic inflation and reheating epoch of the universe, often described by Lyapunov Exponent. Apart from that, we quantify the quantum chaos arising in a closed system by a more strong measure, commonly known as Spectral Form Factor using the principles of Random Matrix Theory (RMT). Additionally, we discuss the role of out of time order correlation (OTOC) function to describe quantum chaos in the present non-equilibrium field theoretic setup. Finally, for completeness, we also provide a bound on the measure of quantum chaos arising due to the presence of stochastic non-linear dynamical interactions into the closed quantum system of the early universe in a completely model-independent way.
177 pages, 58 figures, 4 tables, Accepted for publication in European Physical Journal C
Databáze: OpenAIRE
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