Four‐mode Squeezed States in de Sitter Space: A Study With Two Field Interacting Quantum System. Issue 12 (7th September 2022)

• Record Type: Journal Article
• Authors: Choudhury, Sayantan; Panda, Sudhakar; Pandey, Nilesh; Roy, Abhishek
• Is Part Of: Fortschritte der Physik. Volume 70:Issue 12(2022)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2022-09-07
• Subjects: cosmology -- de Sitter space -- early universe -- quantum field theory -- Theoretical Cosmology -- Quantum Field Theory in de Sitter space -- Quantum Cosmology -- Quantum Information Theory; Physics -- Periodicals; 530.05
• DOI: 10.1002/prop.202200124
• Languages: English
• ISSNs: 0015-8208

Abstract

Abstract: 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. Abstract : In this paper 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 are studied. After constructing the four‐mode squeezed state formalism this concept will be connected 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 will be constructed, capturing its dynamics. 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, the authors simulate the dynamics of the squeezing parameters in terms of conformal time. They observe interesting dynamics, which helps to explore various underlying physical implications of the weakly coupled two scalar field system in the planar patch of the de Sitter cosmological background.