Journal
FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS
Volume 70, Issue 12, Pages -Publisher
WILEY-V C H VERLAG GMBH
DOI: 10.1002/prop.202200124
Keywords
cosmology; de Sitter space; early universe; quantum field theory; Theoretical Cosmology; Quantum Field Theory in de Sitter space; Quantum Cosmology; Quantum Information Theory
Categories
Funding
- J. C. Bose National Fellowship of Director, Professor Rajesh Gopakumar, ICTS, TIFR, Bengaluru
- J. C. Bose National Fellowship
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This paper investigates the application of four-mode squeezed states in the cosmological context, focusing on the weakly coupled two scalar field model in the planar patch of the de Sitter space. By constructing the formalism of four-mode squeezed states and obtaining the coupled differential equations for time evolution, interesting dynamics with physical implications are observed and explored.
In this paper we study the application of four-mode squeezed states in the cosmological context, studying two weakly coupled scalar fields in the planar patch of the de Sitter space. We construct the four-mode squeezed state formalism and connect this concept with the Hamiltonian of the two coupled inverted harmonic oscillators having a time-dependent effective frequency in the planar patch of the de Sitter space. Further, the corresponding evolution operator for the quantum Euclidean vacuum state has been constructed, which captures its dynamics. Using the Heisenberg picture coupled differential equations describing the time evolution for all squeezing parameters (amplitude, phase and angle) have been obtained, for the weakly coupled two scalar field model. With the help of these evolutions for the coupled system, we simulate the dynamics of the squeezing parameters in terms of conformal time. From our analysis, we observe interesting dynamics, which helps us to explore various underlying physical implications of the weakly coupled two scalar field system in the planar patch of the de Sitter cosmological background.
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