AI Article Synopsis
- The hydrodynamic attractor concept explains how systems lose small-scale details before they can be described by hydrodynamics.
- The study proposes a method to observe these attractors in ultracold atomic gases by manipulating the scattering length, simulating isotropic fluid behavior.
- By examining two-component fermions in three dimensions, the researchers derive a hydrodynamic relaxation model and identify the corresponding attractor solution, making their approach relevant for various ultracold atomic systems.
Article Abstract
The hydrodynamic attractor is a concept that describes universal equilibration behavior in which systems lose microscopic details before hydrodynamics becomes applicable. We propose a setup to observe hydrodynamic attractors in ultracold atomic gases, taking advantage of the fact that driving the two-body s-wave scattering length causes phenomena equivalent to isotropic fluid expansions. We specifically consider two-component fermions with contact interactions in three dimensions and discuss their dynamics under a power-law drive of the scattering length in a uniform system. By explicit computation, we derive a hydrodynamic relaxation model. We analytically solve their dynamics and find the hydrodynamic attractor solution. Our proposed method using the scattering length drive is applicable to a wide range of ultracold atomic systems, and our results establish these as a new platform for exploring hydrodynamic attractors.
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