Duration of Classicality of an inhomogeneous quantum field with repulsive contact self-interactions
arXiv:1907.04941 · doi:10.1103/PhysRevD.100.125010
Abstract
Quantum fields with large degeneracy are often approximated as classical fields. Here, we show how quantum and classical evolution of a highly degenerate quantum field with repulsive contact self-interactions differ from each other. Initially, the field is taken to be homogeneous except for a small plane wave perturbations in only one mode. In quantum field theory, modes satisfying both momentum and energy conservation of the quasi-particles, grow exponentially with time. However, in the classical field approximation, the system is stable. We calculate the time scale after which the classical field description becomes invalid.
arXiv comment15 pages, 4 figures
References in corpus (20)
- Cold and Fuzzy Dark Matter
- Ultralight scalars as cosmological dark matter
- Atom Interferometers
- Cosmic Structure as the Quantum Interference of a Coherent Dark Wave
- Late time Cosmological Phase Transition and Galactic Halo as Bose-liquid
- Do Dark Matter Axions Form a Condensate with Long-Range Correlation?
- A Model For Halo Formation With Axion Mixed Dark Matter
- Formation and structure of ultralight bosonic dark matter halos
- Cosmological Constraints on Bose-Einstein-Condensed Scalar Field Dark Matter
- Early seeds of axion miniclusters
- Angular Momentum and Vortex Formation in Bose-Einstein-Condensed Cold Dark Matter Haloes
- Ultra-Light Scalar Fields and the Growth of Structure in the Universe
- Collapse of a self-gravitating Bose-Einstein condensate with attractive self-interaction
- Minimum mass of galaxies from BEC or scalar field dark matter
- On the mass of ultra-light bosonic dark matter from galactic dynamics
- Lukewarm dark matter: Bose condensation of ultralight particles
- Classicality and Quantum Break-Time for Cosmic Axions
- Evolution and thermalization of dark matter axions in the condensed regime
- Duration of classicality in highly degenerate interacting Bosonic systems
- Gravitational self-interactions of a degenerate quantum scalar field