Gravitational self-interactions of a degenerate quantum scalar field

doi:10.1103/PhysRevD.97.043531

Title: 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 wave vector 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.

Authors:: Chakrabarty, Sankha S.; Enomoto, Seishi; Han, Yaqi; Sikivie, Pierre; Todarello, Elisa M.

Publication Date:: 2018-02-27

Research Org.:: College of William and Mary, Williamsburg, VA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1422848

Alternate Identifier(s):: OSTI ID: 1507733

Grant/Contract Number:: FG02-97ER41209; FG02-02ER41209

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 4; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 79 ASTRONOMY AND ASTROPHYSICS

Citation Formats


                    Chakrabarty, Sankha S., Enomoto, Seishi, Han, Yaqi, Sikivie, Pierre, and Todarello, Elisa M. Gravitational self-interactions of a degenerate quantum scalar field.  United States: N. p., 2018. 
        Web.  doi:10.1103/PhysRevD.97.043531.

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                    Chakrabarty, Sankha S., Enomoto, Seishi, Han, Yaqi, Sikivie, Pierre, & Todarello, Elisa M. Gravitational self-interactions of a degenerate quantum scalar field.  United States.  doi:10.1103/PhysRevD.97.043531.

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                    Chakrabarty, Sankha S., Enomoto, Seishi, Han, Yaqi, Sikivie, Pierre, and Todarello, Elisa M. Tue .  
        "Gravitational self-interactions of a degenerate quantum scalar field".  United States.  doi:10.1103/PhysRevD.97.043531.

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@article{osti_1422848,

  title        = {Gravitational self-interactions of a degenerate quantum scalar field},

  author       = {Chakrabarty, Sankha S. and Enomoto, Seishi and Han, Yaqi and Sikivie, Pierre and Todarello, Elisa M.},

  abstractNote = {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 wave vector 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.},

  doi          = {10.1103/PhysRevD.97.043531},

  journal      = {Physical Review D},

  number       = 4,

  volume       = 97,

  place        = {United States},

  year         = {2018},

  month        = {2}

}

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DOI: 10.1103/PhysRevD.97.043531

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Cited by: 2 works

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FIG. 1.: Quantum (top) and classical (bottom) time evolution of the occupation numbers in the toy system described in the text for the initial state |12; 25; 4; 12; 1$\rangle$. The dots on the right in the top panel indicate the thermal averages in the quantum case. The quantum systemmore »

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Works referencing / citing this record:

Duration of classicality of an inhomogeneous quantum field with repulsive contact self-interactions
journal, December 2019

Arza, Ariel; Chakrabarty, Sankha S.; Enomoto, Seishi
Physical Review D, Vol. 100, Issue 12
DOI: 10.1103/physrevd.100.125010

Figures / Tables found in this record:

FIG. 1. (p. 6)

FIG. 2. (p. 7)

FIG. 3. (p. 8)

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Title: Gravitational self-interactions of a degenerate quantum scalar field

Abstract

Citation Formats

Figures / Tables:

Weak-Interaction Singlet and Strong CP Invariance journal, July 1979

The not-so-harmless axion journal, January 1983

Growth of perturbations in an expanding universe with Bose-Einstein condensate dark matter journal, January 2012

Cosmology of the invisible axion journal, January 1983

Axions: Bose Einstein condensate or classical field? journal, May 2015

Duration of classicality in highly degenerate interacting Bosonic systems journal, July 2017

Axion condensate as a model for dark matter halos journal, January 2009

Scrambling in the black hole portrait journal, December 2013

Ultralight scalars as cosmological dark matter journal, February 2017

WISPy cold dark matter journal, June 2012

New astrophysical bounds on ultralight axionlike particles journal, February 2017

A model for halo formation with axion mixed dark matter journal, November 2013

Can confinement ensure natural CP invariance of strong interactions? journal, April 1980

Inner caustics of cold dark matter halos journal, January 2006

Problem of Strong P and T Invariance in the Presence of Instantons journal, January 1978

Can Galactic Halos Be Made of Axions? journal, March 1983

A simple solution to the strong CP problem with a harmless axion journal, August 1981

Do dark matter axions form a condensate with long-range correlation? journal, November 2015

Gravitational instability of scalar fields and formation of primordial black holes journal, August 1985

Caustic ring model of the Milky Way halo journal, September 2008

Attractive versus repulsive interactions in the Bose-Einstein condensation dynamics of relativistic field theories journal, October 2017

On the mass of ultra-light bosonic dark matter from galactic dynamics journal, February 2012

Fuzzy Cold Dark Matter: The Wave Properties of Ultralight Particles journal, August 2000

The emerging case for axion dark matter journal, January 2011

A cosmological bound on the invisible axion journal, January 1983

Late-time phase transition and the galactic halo as a Bose liquid journal, September 1994

Repulsive dark matter journal, April 2000

Bose-Einstein Condensation of Dark Matter Axions journal, September 2009

Caustic ring singularity journal, August 1999

Constraints imposed by CP conservation in the presence of pseudoparticles journal, September 1977

Bose-Einstein condensation of the classical axion field in cosmology? journal, December 2013

Caustic rings of dark matter journal, July 1998

Cosmic structure as the quantum interference of a coherent dark wave journal, June 2014

Evolution and thermalization of dark matter axions in the condensed regime journal, April 2013

CP Conservation in the Presence of Pseudoparticles journal, June 1977

A New Light Boson? journal, January 1978

Far from equilibrium dynamics of Bose-Einstein condensation for axion dark matter journal, January 2015

Cosmological constraints on Bose-Einstein-condensed scalar field dark matter journal, April 2014

Cosmic axion thermalization journal, March 2012

Axions and the galactic angular momentum distribution journal, December 2013

Condensation of bosons in the kinetic regime journal, January 1997

Duration of classicality of an inhomogeneous quantum field with repulsive contact self-interactions journal, December 2019

Weak-Interaction Singlet and Strong $CP$ Invariance
journal, July 1979

The not-so-harmless axion
journal, January 1983

Growth of perturbations in an expanding universe with Bose-Einstein condensate dark matter
journal, January 2012

Cosmology of the invisible axion
journal, January 1983

Axions: Bose Einstein condensate or classical field?
journal, May 2015

Duration of classicality in highly degenerate interacting Bosonic systems
journal, July 2017

Axion condensate as a model for dark matter halos
journal, January 2009

Scrambling in the black hole portrait
journal, December 2013

Ultralight scalars as cosmological dark matter
journal, February 2017

WISPy cold dark matter
journal, June 2012

New astrophysical bounds on ultralight axionlike particles
journal, February 2017

A model for halo formation with axion mixed dark matter
journal, November 2013

Can confinement ensure natural CP invariance of strong interactions?
journal, April 1980

Inner caustics of cold dark matter halos
journal, January 2006

Problem of Strong $P$ and $T$ Invariance in the Presence of Instantons
journal, January 1978

Can Galactic Halos Be Made of Axions?
journal, March 1983

A simple solution to the strong CP problem with a harmless axion
journal, August 1981

Do dark matter axions form a condensate with long-range correlation?
journal, November 2015

Gravitational instability of scalar fields and formation of primordial black holes
journal, August 1985

Caustic ring model of the Milky Way halo
journal, September 2008

Attractive versus repulsive interactions in the Bose-Einstein condensation dynamics of relativistic field theories
journal, October 2017

On the mass of ultra-light bosonic dark matter from galactic dynamics
journal, February 2012

Fuzzy Cold Dark Matter: The Wave Properties of Ultralight Particles
journal, August 2000

The emerging case for axion dark matter
journal, January 2011

A cosmological bound on the invisible axion
journal, January 1983

Late-time phase transition and the galactic halo as a Bose liquid
journal, September 1994

Repulsive dark matter
journal, April 2000

Bose-Einstein Condensation of Dark Matter Axions
journal, September 2009

Caustic ring singularity
journal, August 1999

Constraints imposed by $CP$ conservation in the presence of pseudoparticles
journal, September 1977

Bose-Einstein condensation of the classical axion field in cosmology?
journal, December 2013

Caustic rings of dark matter
journal, July 1998

Cosmic structure as the quantum interference of a coherent dark wave
journal, June 2014

Evolution and thermalization of dark matter axions in the condensed regime
journal, April 2013

$CP$ Conservation in the Presence of Pseudoparticles
journal, June 1977

A New Light Boson?
journal, January 1978

Far from equilibrium dynamics of Bose-Einstein condensation for axion dark matter
journal, January 2015

Cosmological constraints on Bose-Einstein-condensed scalar field dark matter
journal, April 2014

Cosmic axion thermalization
journal, March 2012

Axions and the galactic angular momentum distribution
journal, December 2013

Condensation of bosons in the kinetic regime
journal, January 1997

Duration of classicality of an inhomogeneous quantum field with repulsive contact self-interactions
journal, December 2019