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Time-Dependent Density Functional Theory and the Real-Time Dynamics of Fermi Superfluids
Quantum Gases · Submitted 3 Jan 2013
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This new theoretical framework has been applied to describe a number of phenomena in cold atomic gases and nuclear collective motion: excitation of the Higgs modes in strongly interacting Fermi superfluids, generation of quantized vortices, crossing and reconnection of vortices, excitation of the superflow at velocities above the critical velocity, excitation of quantum shock waves and domain walls in the collisions of superfluid atomic clouds, excitation of collective states in nuclei.
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The abstract, sentence by sentence
I describe the Time-Dependent Superfluid Local Density Approximation, which is an adiabatic extension of the Density Functional Theory to superfluid Fermi systems and their real-time dynamics. This new theoretical framework has been applied to describe a number of phenomena in cold atomic gases and nuclear collective motion: excitation of the Higgs modes in strongly interacting Fermi superfluids, generation of quantized vortices, crossing and reconnection of vortices, excitation of the superflow at velocities above the critical velocity, excitation of quantum shock waves and domain walls in the collisions of superfluid atomic clouds, excitation of collective states in nuclei.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | I describe the Time-Dependent Superfluid Local Density Approximation, which is an adiabatic extension of the Density Functional Theory to superfluid Fermi systems and their real-time dynamics. | contribution 0.65 | 0.78 | 0.17 | asserted 1.00 |
| s1 | This new theoretical framework has been applied to describe a number of phenomena in cold atomic gases and nuclear collective motion: excitation of the Higgs modes in strongly interacting Fermi superfluids, generation of quantized vortices, crossing and reconnection of vortices, excitation of the superflow at velocities above the critical velocity, excitation of quantum shock waves and domain walls in the collisions of superfluid atomic clouds, excitation of collective states in nuclei. | contribution 0.74 | 0.67 | 0.25 | asserted 1.00 |
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The paper
Original abstract
I describe the Time-Dependent Superfluid Local Density Approximation, which is an adiabatic extension of the Density Functional Theory to superfluid Fermi systems and their real-time dynamics. This new theoretical framework has been applied to describe a number of phenomena in cold atomic gases and nuclear collective motion: excitation of the Higgs modes in strongly interacting Fermi superfluids, generation of quantized vortices, crossing and reconnection of vortices, excitation of the superflow at velocities above the critical velocity, excitation of quantum shock waves and domain walls in the collisions of superfluid atomic clouds, excitation of collective states in nuclei.
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How the literature uses it
5 arXiv papers cite this in 9 sentences
Papers citing it · 6 sentences without a confident label
Uses its method or tool 2 papers
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The numerical implementation of the SLDA and TDSLDA equations leads to hundreds of thousands of coupled nonlinear 3D time-dependent PDEs, which are solved by using the discrete variable representation approach [ref] on desktops [ref] and—as a result of UNEDF collaborations with computer scientists—leadership-class supercomputers [ref] .
Computational Nuclear Quantum Many-Body Problem: The UNEDF Project · Time-dependent DFT for superfluid systems (Aurel, Kenny) (1 page) · 0.84
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In the final example, we demonstrate local quantum friction applied to a large-scale TDDFT simulation modeling the unitary Fermi gas with the TDSLDA [ref] .
Quantum Friction: Cooling Quantum Systems with Unitary Time Evolution · Introduction · 0.83
Cites it as background 1 paper
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The time-dependent DFT formulation has been used successfully for the unitary Fermi gas (reviewed in Ref. [ref] ).
Slow interaction ramps in trapped many-particle systems: universal deviations from adiabaticity · Continuum systems · 0.83
What it cites · 10 sentences without a confident label
Uses data or values from 2 papers
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The magnitude of the gradient corrections is relatively small $λ≈- 0.1$ (and somewhat surprisingly negative) [ref] and the effective mass is close to the bare mass value, as $α≈1.1$ [ref] .
The Unitary Fermi Gas: From Monte Carlo to Density Functionals · Unitary Fermi Gas · 0.88
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The magnitude of the gradient corrections is relatively small $λ≈- 0.1$ (and somewhat surprisingly negative) [ref] and the effective mass is close to the bare mass value, as $α≈1.1$ [ref] .
The Unitary Fermi Gas in a Harmonic Trap and its Static Response · Unitary Fermi Gas · 0.88
Cites as background 1 paper
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The vortex pinning mechanism in neutron star crust is still a matter of debate [ref] as it is not clear yet whether one has to perform static calculations of the vortex in the presence of nucleus at constant asymptotic density, constant neutron chemical potential or constant particle number in a simulation cell.
Pinning and Binding Energies for Vortices in Neutron Stars: Comments on Recent Results · Summary and outlook · 0.89
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