Gravitational self-interactions of a degenerate quantum scalar field

Abstract

We develop a formalism to help calculate in quantum field theory the departures from the description of a system by classical field equations. We apply the formalism to a homogeneous condensate with attractive contact interactions and to a homogeneous self-gravitating condensate in critical expansion. In their classical descriptions, such condensates persist forever. We show that in their quantum description, parametric resonance causes quanta to jump in pairs out of the condensate into all modes with wavector less than some critical value. We calculate in each case the time scale over which the homogeneous condensate is depleted, and after which a classical description is invalid. We argue that the duration of classicality of inhomogeneous condensates is shorter than that of homogeneous condensates.

arXiv comment39 pages, 3 figures. A more detailed discussion of the duration of classicality is given, correcting relatively inconsequential errors/misunderstandings in the original version of this paper

References in corpus (29)

• Cold and Fuzzy Dark Matter
• Ultralight scalars as cosmological dark matter
• Cosmic Structure as the Quantum Interference of a Coherent Dark Wave
• WISPy Cold Dark Matter
• Bose-Einstein Condensation of Dark Matter Axions
• Late time Cosmological Phase Transition and Galactic Halo as Bose-liquid
• Repulsive Dark Matter
• Do Dark Matter Axions Form a Condensate with Long-Range Correlation?
• A Model For Halo Formation With Axion Mixed Dark Matter
• Cosmological Constraints on Bose-Einstein-Condensed Scalar Field Dark Matter
• Condensation of bosons in kinetic regime
• Growth of perturbations in an expanding universe with Bose-Einstein condensate dark matter
• Cosmic axion thermalization
• Caustic rings of dark matter
• Scrambling in the Black Hole Portrait
• The caustic ring singularity
• On the mass of ultra-light bosonic dark matter from galactic dynamics
• The Caustic Ring Model of the Milky Way Halo
• Axions: Bose Einstein Condensate or Classical Field?
• The Case for Axion Dark Matter
• The Inner Caustics of Cold Dark Matter Halos
• Axions and the Galactic Angular Momentum Distribution
• Bose Einstein condensation of the classical axion field in cosmology?
• Far from equilibrium dynamics of Bose-Einstein condensation for Axion Dark Matter
• Evolution and thermalization of dark matter axions in the condensed regime
• New astrophysical bounds on ultralight axionlike particles
• Duration of classicality in highly degenerate interacting Bosonic systems
• Attractive vs. repulsive interactions in the Bose-Einstein condensation dynamics of relativistic field theories
• Galaxy Formation and the Cosmological Angular Momentum Problem

Cited by in corpus (14)

• Dark matters on the scale of galaxies
• Looking at the NANOGrav Signal Through the Anthropic Window of Axion-Like Particles
• Natural explanation for 21cm absorption signals via axion-induced cooling
• Exploring the ultra-light to sub-MeV dark matter window with atomic clocks and co-magnetometers
• Direct Detection of Ultralight Dark Matter via Astronomical Ephemeris
• "Invisible" QCD axion rolling through the QCD phase transition
• A detailed exploration of the EDGES 21 cm absorption anomaly and axion-induced cooling
• On the single classical field description of interacting scalar fields
• Nonclassicality of axion-like dark matter through gravitational self-interactions
• When quantum corrections alter the predictions of classical field theory for scalar field dark matter
• Density perturbations in axion-like particles: classical vs quantum field treatment
• Duration of Classicality of an inhomogeneous quantum field with repulsive contact self-interactions
• Supermassive black hole formation in the initial collapse of axion dark matter
• Field moment expansion method for interacting Bosonic systems