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Title: Classical-quantum correspondence for fields

Abstract

Here, we map the quantum problem of a free bosonic field in a space-time dependent background into a classical problem. N degrees of freedom of a real field in the quantum theory are mapped into 2N2 classical simple harmonic oscillators with specific initial conditions. We discuss how this classical-quantum correspondence (CQC) may be used to evaluate quantum radiation and fully treat the backreaction of quantum fields on classical backgrounds. The technique has widespread application, including to the quantum evaporation of classical breathers ("oscillons").

Authors:
 [1];  [1]
  1. Arizona State Univ., Tempe, AZ (United States)
Publication Date:
Research Org.:
Arizona State Univ., Tempe, AZ (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); John Templeton Foundation
OSTI Identifier:
1613247
Grant/Contract Number:  
SC0019470; 60253
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2019; Journal Issue: 09; Journal ID: ISSN 1475-7516
Publisher:
Institute of Physics (IOP)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; astronomy & astrophysics; physics

Citation Formats

Vachaspati, Tanmay, and Zahariade, George. Classical-quantum correspondence for fields. United States: N. p., 2019. Web. doi:10.1088/1475-7516/2019/09/015.
Vachaspati, Tanmay, & Zahariade, George. Classical-quantum correspondence for fields. United States. https://doi.org/10.1088/1475-7516/2019/09/015
Vachaspati, Tanmay, and Zahariade, George. Wed . "Classical-quantum correspondence for fields". United States. https://doi.org/10.1088/1475-7516/2019/09/015. https://www.osti.gov/servlets/purl/1613247.
@article{osti_1613247,
title = {Classical-quantum correspondence for fields},
author = {Vachaspati, Tanmay and Zahariade, George},
abstractNote = {Here, we map the quantum problem of a free bosonic field in a space-time dependent background into a classical problem. N degrees of freedom of a real field in the quantum theory are mapped into 2N2 classical simple harmonic oscillators with specific initial conditions. We discuss how this classical-quantum correspondence (CQC) may be used to evaluate quantum radiation and fully treat the backreaction of quantum fields on classical backgrounds. The technique has widespread application, including to the quantum evaporation of classical breathers ("oscillons").},
doi = {10.1088/1475-7516/2019/09/015},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 09,
volume = 2019,
place = {United States},
year = {Wed Sep 04 00:00:00 EDT 2019},
month = {Wed Sep 04 00:00:00 EDT 2019}
}

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Cited by: 11 works
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Works referenced in this record:

On the Quantum Correction For Thermodynamic Equilibrium
journal, June 1932


Classical-quantum correspondence and Hawking radiation
journal, April 2019


An Exact Quantum Theory of the Time‐Dependent Harmonic Oscillator and of a Charged Particle in a Time‐Dependent Electromagnetic Field
journal, August 1969

  • Lewis, H. R.; Riesenfeld, W. B.
  • Journal of Mathematical Physics, Vol. 10, Issue 8
  • DOI: 10.1063/1.1664991

Adiabatic Invariance in Simple Harmonic Motion
journal, January 1971

  • Parker, Leonard
  • American Journal of Physics, Vol. 39, Issue 1
  • DOI: 10.1119/1.1986050

Class of Exact Invariants for Classical and Quantum Time‐Dependent Harmonic Oscillators
journal, November 1968

  • Lewis, H. R.
  • Journal of Mathematical Physics, Vol. 9, Issue 11
  • DOI: 10.1063/1.1664532

Particle production and effective thermalization in inhomogeneous mean field theory
journal, December 1999


Oscillon lifetime in the presence of quantum fluctuations
journal, August 2014

  • Saffin, Paul M.; Tognarelli, Paul; Tranberg, Anders
  • Journal of High Energy Physics, Vol. 2014, Issue 8
  • DOI: 10.1007/JHEP08(2014)125

Anisotropy damping through quantum effects in the early universe
journal, February 1978


Scalar particle creation in an anisotropic universe
journal, July 1975


Semiclassical decay of topological defects
journal, February 2008


Note on inflation and trans-Planckian physics
journal, July 2002


Scalar waves in the mixmaster universe. II. Particle creation
journal, June 1974


Classical-quantum correspondence and backreaction
journal, September 2018


Effect of gravitation creation in isotropically expanding universes
journal, November 1977


Quantum back reaction in scalar QED as an initial-value problem
journal, July 1989


Pair production in a strong electric field
journal, October 1991


Oscillon Lifetime in the Presence of Quantum Fluctuations
text, January 2014


Works referencing / citing this record:

Rolling classical scalar field in a linear potential coupled to a quantum field
journal, November 2019


Emergence of classical structures from the quantum vacuum
journal, September 2020


Canonical description of cosmological backreaction
text, January 2020


Quasiclassical solutions for static quantum black holes
preprint, January 2020