Hydrodynamic Attractor in Ultracold Atoms

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.

7+3 pages, 3 figures

References in corpus (40)

• Feshbach Resonances in Ultracold Gases
• Properties of galaxies reproduced by a hydrodynamic simulation
• Observation of Long-Range Near-Side Angular Correlations in Proton-Proton Collisions at the LHC
• Long-range angular correlations on the near and away side in p-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Large momentum part of fermions with large scattering length
• Energetics of a strongly correlated Fermi gas
• Observation of Associated Near-side and Away-side Long-range Correlations in sqrt(s_NN)=5.02 TeV Proton-lead Collisions with the ATLAS Detector
• Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
• Nonrelativistic conformal field theories
• New theories of relativistic hydrodynamics in the LHC era
• Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation
• Creating small circular, elliptical, and triangular droplets of quark-gluon plasma
• Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
• Kubo formulas for viscosity: Hall viscosity, Ward identities, and the relation with conductivity
• QCD thermalization: Ab initio approaches and interdisciplinary connections
• Fluid Dynamics far from Local Equilibrium
• A Primer on Resurgent Transseries and Their Asymptotics
• Matching the Nonequilibrium Initial Stage of Heavy Ion Collisions to Hydrodynamics with QCD Kinetic Theory
• Scale invariance and viscosity of a two-dimensional Fermi gas
• Vanishing bulk viscosities and conformal invariance of unitary Fermi gas
• Transverse Demagnetization Dynamics of a Unitary Fermi Gas
• What attracts to attractors?
• Relativistic Hydrodynamic Attractors with Broken Symmetries: Non-Conformal and Non-Homogeneous
• Universal Sound Diffusion in a Strongly Interacting Fermi Gas
• Apparent low-energy scale invariance in two-dimensional Fermi gases
• Observation of quantum-limited spin transport in strongly interacting two-dimensional Fermi gases
• Hydrodynamic attractors in heavy ion collisions: a review
• Current response, structure factor and hydrodynamic quantities of a two- and three-dimensional Fermi gas from the operator-product expansion
• High-temperature expansion of the viscosity in interacting quantum gases
• Bulk viscosity and contact correlations in attractive Fermi gases
• Non-hydrodynamic transport in trapped unitary Fermi gases
• Viscosity spectral functions of resonating fermions in the quantum virial expansion
• Hydrodynamics with spacetime-dependent scattering length
• Viscosity Sum Rules at Large Scattering Lengths
• Quantum critical thermal transport in the unitary Fermi gas
• Hydrodynamic Attractor in a Hubble Expansion
• Bulk viscosity of resonating fermions revisited: Kubo formula, sum rule, and the dimer and high-temperature limits
• Maximum Energy Growth Rate in Dilute Quantum Gases
• Dynamics of strongly interacting Fermi gases with time-dependent interactions: Consequence of conformal symmetry
• Bulk viscosity of resonantly interacting fermions in the quantum virial expansion

Cited by in corpus (6)

• Hydrodynamic attractor in periodically driven ultracold quantum gases
• Superfluids in expanding backgrounds and attractor times
• Dispersion of first sound in a weakly interacting ultracold Fermi liquid
• Quantum transport in strongly correlated Fermi gases
• Dimer-projection contact and the clock shift of a unitary Fermi gas
• Observation of Universal Expansion Anisotropy from Cold Atoms to Hot Quark-Gluon Plasma