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Title: Duration of classicality of an inhomogeneous quantum field with repulsive contact self-interactions

Abstract

Quantum fields with large degeneracy are often approximated as classical fields. Here, we show how the 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 perturbation in only one mode. In quantum field theory, modes satisfying both momentum and energy conservation of the quasiparticles, 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.

Authors:
; ; ORCiD logo; ; ORCiD logo
Publication Date:
Research Org.:
Univ. of Florida, Gainesville, FL (United States)
Sponsoring Org.:
USDOE Office of Science (SC); Heising-Simons Foundation; Chilean Commission on Research, Science and Technology (CONICYT); Japan Society for the Promotion of Science (JSPS); European Unions Horizon 2020
OSTI Identifier:
1579291
Alternate Identifier(s):
OSTI ID: 1802078
Grant/Contract Number:  
SC0010296; 2015-109; 78180100; JP18H03708; JP17H01131; 674896
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 12; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Astronomy & Astrophysics; Physics

Citation Formats

Arza, Ariel, Chakrabarty, Sankha S., Enomoto, Seishi, Han, Yaqi, and Todarello, Elisa. Duration of classicality of an inhomogeneous quantum field with repulsive contact self-interactions. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.100.125010.
Arza, Ariel, Chakrabarty, Sankha S., Enomoto, Seishi, Han, Yaqi, & Todarello, Elisa. Duration of classicality of an inhomogeneous quantum field with repulsive contact self-interactions. United States. https://doi.org/10.1103/PhysRevD.100.125010
Arza, Ariel, Chakrabarty, Sankha S., Enomoto, Seishi, Han, Yaqi, and Todarello, Elisa. Wed . "Duration of classicality of an inhomogeneous quantum field with repulsive contact self-interactions". United States. https://doi.org/10.1103/PhysRevD.100.125010.
@article{osti_1579291,
title = {Duration of classicality of an inhomogeneous quantum field with repulsive contact self-interactions},
author = {Arza, Ariel and Chakrabarty, Sankha S. and Enomoto, Seishi and Han, Yaqi and Todarello, Elisa},
abstractNote = {Quantum fields with large degeneracy are often approximated as classical fields. Here, we show how the 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 perturbation in only one mode. In quantum field theory, modes satisfying both momentum and energy conservation of the quasiparticles, 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.},
doi = {10.1103/PhysRevD.100.125010},
journal = {Physical Review D},
number = 12,
volume = 100,
place = {United States},
year = {2019},
month = {12}
}

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