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Shock waves in strongly interacting Fermi gas from time-dependent density functional calculations
Quantum Gases · Submitted 4 Jun 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim At variance with the current interpretation of the experiments, where the role of viscosity is emphasized, we find that a quantitative agreement with the experimental observation of the dynamics of the cloud collisions is obtained within our superfluid effective hydrodynamics approach, where density variations during the collision are controlled by a purely dispersive quantum gradient term.
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The abstract, sentence by sentence
Motivated by a recent experiment [Phys. Rev. Lett. 106, 150401 (2011)] we simulate the collision between two clouds of cold Fermi gas at unitarity conditions by using an extended Thomas-Fermi density functional. At variance with the current interpretation of the experiments, where the role of viscosity is emphasized, we find that a quantitative agreement with the experimental observation of the dynamics of the cloud collisions is obtained within our superfluid effective hydrodynamics approach, where density variations during the collision are controlled by a purely dispersive quantum gradient term. We also suggest different initial conditions where dispersive density ripples can be detected with the available experimental spatial resolution.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Motivated by a recent experiment [Phys. Rev. Lett. 106, 150401 (2011)] we simulate the collision between two clouds of cold Fermi gas at unitarity conditions by using an extended Thomas-Fermi density functional. | method 0.46 | 0.91 | 0.04 | asserted 0.97 |
| s1 | At variance with the current interpretation of the experiments, where the role of viscosity is emphasized, we find that a quantitative agreement with the experimental observation of the dynamics of the cloud collisions is obtained within our superfluid effective hydrodynamics approach, where density variations during the collision are controlled by a purely dispersive quantum gradient term. | result 0.81 | 0.95 | 0.88 | asserted 1.00 |
| s2 | We also suggest different initial conditions where dispersive density ripples can be detected with the available experimental spatial resolution. | future work 0.87 | 0.71 | 0.06 | hedged possibility 0.99 |
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The paper
Original abstract
Motivated by a recent experiment [Phys. Rev. Lett. 106, 150401 (2011)] we simulate the collision between two clouds of cold Fermi gas at unitarity conditions by using an extended Thomas-Fermi density functional. At variance with the current interpretation of the experiments, where the role of viscosity is emphasized, we find that a quantitative agreement with the experimental observation of the dynamics of the cloud collisions is obtained within our superfluid effective hydrodynamics approach, where density variations during the collision are controlled by a purely dispersive quantum gradient term. We also suggest different initial conditions where dispersive density ripples can be detected with the available experimental spatial resolution.
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How the literature uses it
6 arXiv papers cite this in 15 sentences
Papers whose main result relates to this one's
States a conflicting result 1 paper
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We also show a direct comparison with the hydrodynamic approach and insist on the necessity of including a shear viscosity and a thermal conductivity term in the equations to prevent unphysical behavior from taking place.
Shock waves in colliding Fermi gases at finite temperature · 0.93
Papers citing it · 9 sentences without a confident label
Contests it 1 paper
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Note, however, that the difference in dynamics here is in contrast with the implied claim of Refs. [ref] that the coarse graining is simply needed to replicate the averaging implied by imaging.
Validating Simple Dynamical Simulations of the Unitary Fermi Gas · Nonlinear Response · contest 0.78
Cites it as support 2 papers
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The absence of a Weizsäcker term gives the expected analytic behavior of the condensate at the vortex core [ref] and better describes the dynamics of colliding superfluids [ref] .
Validating Simple Dynamical Simulations of the Unitary Fermi Gas · The ETF Model · 0.97
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Superfluid hydrodynamic phenomenology [ref] and vortex dynamics (appendix [ref]) suggest that $= 0$.
The Unitary Fermi Gas in a Harmonic Trap and its Static Response · Introduction · 0.96
Cites it as background 3 papers
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The ETF [ref] is essentially a bosonic theory describing dimers/Cooper-pairs in the UFG with a single collective condensate wavefunction that has been used to analyze the expansion and breathing mode frequencies of cold atomic gases in a trap [ref] , their surface oscillations [ref] , collisions of clouds of fermions [ref] , vortex generation [ref] , vortex pinning [ref] , instabilities [ref] , and soliton dynamics [ref] .
Validating Simple Dynamical Simulations of the Unitary Fermi Gas · Introduction · 0.96
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The exact form of this functional is non-local and unknown, but a local formulation – an ETF functional [ref] – describes well some energetic and dynamical aspects of the UFG.
The Unitary Fermi Gas in a Harmonic Trap and its Static Response · Introduction · 0.80
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The NLSE has been used to study various phenomena like collective modes [ref] , expansion dynamics [ref] , solitons [ref] , Josephson oscillations [ref] , shock wave generation [ref] , etc.
Crow instability in unitary Fermi gas · Introduction · 0.90
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