2018/01/31 by Jian Deng, Jian Xin Deng, Sören Schlichting +3 · 1 citation
Chemistry · Physics and Astronomy · #Bose–Einstein condensate #Cascade #Chemistry #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #High-Energy Particle Collisions Research #Physics #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Scalar (mathematics) #Scalar field #Scaling #Superfluidity #Vortex #cond-mat.quant-gas #hep-th #nucl-th
paper · pdf · doi:10.1103/physreva.97.053606
published as Phys. Rev. A 97, 053606 (2018) · RevTex 4, 22 pages, 9 figures. Minor revision. The version to be published in PRA
openalex created_date 2018/02/02 · openalex publication_date 2018/05/11 · arxiv created 2018/05/12 · arxiv updated 2018/05/16 · openalex updated_date 2026/08/05
We map the infrared dynamics of a relativistic single-component (N=1) interacting scalar field theory to that of nonrelativistic complex scalar fields. The Gross-Pitaevskii (GP) equation, describing the real-time dynamics of single-component ultracold Bose gases, is obtained at first nontrivial order in an expansion proportional to the powers of \ensuremathλ\ensuremathφ2/m2 where \ensuremathλ, \ensuremathφ, 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, vortex-antivortex superfluid dynamics, and the off-equilibrium formation of a Bose-Einstein 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 vortex-antivortex formation and to the off-equilibrium dynamics of the strongly interacting matter formed in heavy-ion collisions.