Open quantum cosmological system
Name
PhysRevD.98.083535.pdf
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431.53 KB
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Author(s) • •
Shandera, Sarah
Agarwal, Nishant
Kamal, Archana
Date Issued
October 2018
Journal
Physical Review D
Publisher
American Physical Society
Citation
Shandera, Sarah, et al. “Open Quantum Cosmological System.” Physical Review D, vol. 98, no. 8, Oct. 2018. © 2018 American Physical Society
Version
Final published version
Abstract
We derive the evolution equation for the density matrix of a UV- and IR- limited band of comoving momentum modes of the canonically normalized scalar degree of freedom in two examples of nearly de Sitter universes. Including the effects of a cubic interaction term from the gravitational action and tracing out a set of longer wavelength modes, we find that the evolution of the system is non-Hamiltonian and non-Markovian. We find linear dissipation terms for a few modes with wavelength near the boundary between system and bath, and nonlinear dissipation terms for all modes. The non-Hamiltonian terms in the evolution equation persist to late times when the scalar field dynamics is such that the curvature perturbation continues to evolve on super-Hubble scales.
MIT Department
Massachusetts Institute of Technology. Research Laboratory of Electronics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.98.083535