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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:
 [1];  [1];  [1];  [1];  [1]
  1. Univ. of Florida, Gainesville, FL (United States)
Publication Date:
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:  
FG02-02ER41209; FG02-97ER41209; 2015-109
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 97; Journal Issue: 4; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
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.
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.
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.
@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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/physrevd.97.043531

Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

Figures / Tables:

FIG. 1. 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 » approaches the thermal averages on the expected time scale. The classical evolution tracks the quantum evolution only very briefly and does not equilibrate.« less

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    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.