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Crow instability in unitary Fermi gas
Quantum Gases · Submitted 8 Jun 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We observe that the Crow instability in a unitary Fermi gas leads to the decay of the vortex-antivortex pair into multiple vortex rings and ultimately into sound waves.
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The abstract, sentence by sentence
We investigate the initiation and subsequent evolution of Crow instability in an inhomogeneous unitary Fermi gas using zero-temperature Galilei-invariant non-linear Schr\"odinger equation. Considering a cigar-shaped unitary Fermi gas, we generate the vortex-antivortex pair either by phase-imprinting or by moving a Gaussian obstacle potential. We observe that the Crow instability in a unitary Fermi gas leads to the decay of the vortex-antivortex pair into multiple vortex rings and ultimately into sound waves.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We investigate the initiation and subsequent evolution of Crow instability in an inhomogeneous unitary Fermi gas using zero-temperature Galilei-invariant non-linear Schr\"odinger equation. | contribution 0.86 | 0.90 | 0.05 | asserted 0.83 |
| s1 | Considering a cigar-shaped unitary Fermi gas, we generate the vortex-antivortex pair either by phase-imprinting or by moving a Gaussian obstacle potential. | method 0.99 | 0.90 | 0.03 | asserted 0.95 |
| s2 | We observe that the Crow instability in a unitary Fermi gas leads to the decay of the vortex-antivortex pair into multiple vortex rings and ultimately into sound waves. | result 1.00 | 0.93 | 0.84 | asserted 1.00 |
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The paper
Original abstract
We investigate the initiation and subsequent evolution of Crow instability in an inhomogeneous unitary Fermi gas using zero-temperature Galilei-invariant non-linear Schr\"odinger equation. Considering a cigar-shaped unitary Fermi gas, we generate the vortex-antivortex pair either by phase-imprinting or by moving a Gaussian obstacle potential. We observe that the Crow instability in a unitary Fermi gas leads to the decay of the vortex-antivortex pair into multiple vortex rings and ultimately into sound waves.
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1 arXiv paper cite this in 1 sentence
Papers citing it
Cites it as background 1 paper
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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
What it cites
Cites as background 2 papers
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Recently, NLSE has also been used to investigate the soliton mediated decay of shock waves into vortex dipoles in the oblate BCS superfluids [ref] .
Generation of vortex dipoles in superfluid Fermi gas in BCS limit · Introduction · 0.83
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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.
Shock waves in strongly interacting Fermi gas from time-dependent density functional calculations · Introduction · 0.90
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