Offequilibrium infrared structure of selfinteracting scalar fields: Universal scaling, vortexantivortex superfluid dynamics, and BoseEinstein condensation
Here, we map the infrared dynamics of a relativistic singlecomponent (N=1) interacting scalar field theory to that of nonrelativistic complex scalar fields. The GrossPitaevskii (GP) equation, describing the realtime dynamics of singlecomponent ultracold Bose gases, is obtained at first nontrivial order in an expansion proportional to the powers of λΦ ^{2}/m ^{2} where λ, Φ, and m are the coupling constant, the scalar field, and the particle mass respectively. Our analytical studies are corroborated by numerical simulations of the spatial and momentum structure of overoccupied scalar fields in (2+1)dimensions. Universal scaling of infrared modes, vortexantivortex superfluid dynamics, and the offequilibrium formation of a BoseEinstein condensate are observed. Our results for the universal scaling exponents are in agreement with those extracted in the numerical simulations of the GP equation. As in these simulations, we observe coarsening phase kinetics in the Bose superfluid with strongly anomalous scaling exponents relative to that of vertex resummed kinetic theory. Our relativistic field theory framework further allows one to study more closely the coupling between superfluid and normal fluid modes, specifically the turbulent momentum and spatial structure of the coupling between a quasiparticle cascade to the infrared and an energy cascade to the ultraviolet. We outlinemore »
 Authors:

^{[1]};
^{[2]};
^{[3]};
^{[4]}
 Shandong Univ., Shandong (China)
 Univ. of Washington, Seattle, WA (United States)
 Brookhaven National Lab. (BNL), Upton, NY (United States)
 Univ. of Science and Technology of China, Anhui (China)
 Publication Date:
 Report Number(s):
 BNL2078702018JAAM
Journal ID: ISSN 24699926; PLRAAN
 Grant/Contract Number:
 SC0012704; FG0297ER41014
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review A
 Additional Journal Information:
 Journal Volume: 97; Journal Issue: 5; Journal ID: ISSN 24699926
 Publisher:
 American Physical Society (APS)
 Research Org:
 Brookhaven National Laboratory (BNL), Upton, NY (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Nuclear Physics (NP) (SC26)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
 OSTI Identifier:
 1462431
 Alternate Identifier(s):
 OSTI ID: 1436897
Deng, Jian, Schlichting, Soeren, Venugopalan, Raju, and Wang, Qun. Offequilibrium infrared structure of selfinteracting scalar fields: Universal scaling, vortexantivortex superfluid dynamics, and BoseEinstein condensation. United States: N. p.,
Web. doi:10.1103/PhysRevA.97.053606.
Deng, Jian, Schlichting, Soeren, Venugopalan, Raju, & Wang, Qun. Offequilibrium infrared structure of selfinteracting scalar fields: Universal scaling, vortexantivortex superfluid dynamics, and BoseEinstein condensation. United States. doi:10.1103/PhysRevA.97.053606.
Deng, Jian, Schlichting, Soeren, Venugopalan, Raju, and Wang, Qun. 2018.
"Offequilibrium infrared structure of selfinteracting scalar fields: Universal scaling, vortexantivortex superfluid dynamics, and BoseEinstein condensation". United States.
doi:10.1103/PhysRevA.97.053606.
@article{osti_1462431,
title = {Offequilibrium infrared structure of selfinteracting scalar fields: Universal scaling, vortexantivortex superfluid dynamics, and BoseEinstein condensation},
author = {Deng, Jian and Schlichting, Soeren and Venugopalan, Raju and Wang, Qun},
abstractNote = {Here, we map the infrared dynamics of a relativistic singlecomponent (N=1) interacting scalar field theory to that of nonrelativistic complex scalar fields. The GrossPitaevskii (GP) equation, describing the realtime dynamics of singlecomponent ultracold Bose gases, is obtained at first nontrivial order in an expansion proportional to the powers of λΦ2/m2 where λ, Φ, and m are the coupling constant, the scalar field, and the particle mass respectively. Our analytical studies are corroborated by numerical simulations of the spatial and momentum structure of overoccupied scalar fields in (2+1)dimensions. Universal scaling of infrared modes, vortexantivortex superfluid dynamics, and the offequilibrium formation of a BoseEinstein condensate are observed. Our results for the universal scaling exponents are in agreement with those extracted in the numerical simulations of the GP equation. As in these simulations, we observe coarsening phase kinetics in the Bose superfluid with strongly anomalous scaling exponents relative to that of vertex resummed kinetic theory. Our relativistic field theory framework further allows one to study more closely the coupling between superfluid and normal fluid modes, specifically the turbulent momentum and spatial structure of the coupling between a quasiparticle cascade to the infrared and an energy cascade to the ultraviolet. We outline possible applications of the formalism to the dynamics of vortexantivortex formation and to the offequilibrium dynamics of the strongly interacting matter formed in heavyion collisions.},
doi = {10.1103/PhysRevA.97.053606},
journal = {Physical Review A},
number = 5,
volume = 97,
place = {United States},
year = {2018},
month = {5}
}
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