Bidirectional universal dynamics in a spinor Bose gas close to a nonthermal fixed point

We numerically study the universal scaling dynamics of an isolated one-dimensional ferromagnetic spin-1 Bose gas. Preparing the system in a far-from-equilibrium initial state, simultaneous coarsening and refining is found to enable and characterize the approach to a nonthermal fixed point. A macrosc...

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Main Authors: Schmied, Christian-Marcel (Author) , Prüfer, Maximilian (Author) , Oberthaler, Markus K. (Author) , Gasenzer, Thomas (Author)
Format: Article (Journal)
Language:English
Published: 18 March 2019
In: Physical review
Year: 2019, Volume: 99, Issue: 3
ISSN:2469-9934
DOI:10.1103/PhysRevA.99.033611
Online Access:Verlag, Volltext: https://doi.org/10.1103/PhysRevA.99.033611
Verlag, Volltext: https://link.aps.org/doi/10.1103/PhysRevA.99.033611
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Author Notes:Christian-Marcel Schmied, Maximilian Prüfer, Markus K. Oberthaler, and Thomas Gasenzer

MARC

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520 |a We numerically study the universal scaling dynamics of an isolated one-dimensional ferromagnetic spin-1 Bose gas. Preparing the system in a far-from-equilibrium initial state, simultaneous coarsening and refining is found to enable and characterize the approach to a nonthermal fixed point. A macroscopic length scale which scales in time according to LΛ(t)∼tβ, with β≃1/4, quantifies the coarsening of the size of spin textures. At the same time kinklike defects populating these textures undergo a refining process measured by a shrinking microscopic length scale Lλ∼tβ′, with β′≃−0.17. The combination of these scaling evolutions enables particle and energy conservation in the isolated system and constitutes a bidirectional transport in momentum space. The value of the coarsening exponent β suggests the dynamics to belong to the universality class of diffusive coarsening of the one-dimensional XY model. However, the universal momentum distribution function exhibiting nonlinear transport marks the distinction between diffusive coarsening and the approach of a nonthermal fixed point in the isolated system considered here. This underlines the importance of the universal scaling function in classifying nonthermal fixed points. Present-day experiments with quantum gases are expected to have access to the predicted bidirectional scaling. 
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