Sensitivity of time-dependent density functional theory to initial conditions

Bulgac, Aurel; Abdurrahman, Ibrahim; Wlazłowski, Gabriel

doi:10.1103/physrevc.105.044601

Cited by 6 publications

(2 citation statements)

References 80 publications

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“…We recognize that in the case of studies of the dynamical stability of physical phenomena by means of computational physics, code quality is an important issue. We note that the accuracy of time integrator implemented within W-SLDA, which is multistep Adams-Bashforth-Moulton of 5th order, has been tested in work [40]. Namely, the dependence of the results with respect to the perturbations of the initial states, for cases where no dynamical instability is expected, was tested.…”

Section: Higgs Mode Decay: (T D < T)mentioning

confidence: 99%

Generation and decay of Higgs mode in a strongly interacting Fermi gas

Barresi¹,

Boulet²,

Wlazłowski³

et al. 2023

Preprint

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We investigate the life cycle of the large amplitude Higgs mode in strongly interacting superfluid Fermi gas. Through numerical simulations with time-dependent density-functional theory and the technique of the interaction quench, we verify the previous theoretical predictions on the mode's frequency. Next, we demonstrate that the mode is dynamically unstable against external perturbation and qualitatively examine the emerging state after the mode decays. The post-decay state is characterized by spatial fluctuations of the order parameter and density at scales comparable to the superfluid coherence length scale. We identify similarities with FFLO states, which become more prominent at higher dimensionalities and nonzero spin imbalances.

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Section: Higgs Mode Decay: (T D < T)mentioning

confidence: 99%

Generation and decay of Higgs mode in a strongly interacting Fermi gas

Barresi¹,

Boulet²,

Wlazłowski³

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

“…We recognize that in the case of studies of the dynamical stability of physical phenomena by means of computational physics, code quality is an important issue. We note that the accuracy of time integrator implemented within W-SLDA, which is multistep Adams-Bashforth-Moulton of 5th order, has been tested in work 55 . Namely, the dependence of the results with respect to the perturbations of the initial states for cases where no dynamical instability is expected, was tested.…”

Section: Generation Of the Higgs Mode Via The Interaction Quenchmentioning

confidence: 99%

Generation and decay of Higgs mode in a strongly interacting Fermi gas

Barresi

Boulet

Wlazłowski

et al. 2023

Sci Rep

Self Cite

View full text Add to dashboard Cite

We investigate the life cycle of the large amplitude Higgs mode in strongly interacting superfluid Fermi gas. Through numerical simulations with time-dependent density functional theory and the technique of the interaction quench, we verify the previous theoretical predictions on the mode’s frequency. Next, we demonstrate that the mode is dynamically unstable against external perturbation and qualitatively examine the emerging state after the mode decays. The post-decay state is characterized by spatial fluctuations of the order parameter and density at scales comparable to the superfluid coherence length scale. We identify similarities with FFLO states, which become more prominent at higher dimensionalities and nonzero spin imbalances.

show abstract