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.
- 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 = {Wed Dec 11 00:00:00 EST 2019},
month = {Wed Dec 11 00:00:00 EST 2019}
}
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https://doi.org/10.1103/PhysRevD.100.125010
https://doi.org/10.1103/PhysRevD.100.125010
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