Time-Dependent Density Functional Theory for Fermionic Superfluids: from Cold Atomic Gases, to Nuclei and Neutron Stars Crust

Abstract

In cold atoms and in the crust of neutron stars the pairing gap can reach values comparable with the Fermi energy. While in nuclei the neutron gap is smaller, it is still of the order of a few percent of the Fermi energy. The pairing mechanism in these systems is due to short range attractive interactions between fermions and the size of the Cooper pair is either comparable to the inter-particle separation or it can be as big as a nucleus, which is still relatively small in size. Such a strong pairing gap is the result of the superposition of a very large number of particle-particle configurations, which contribute to the formation of the Copper pairs. These systems have been shown to be the host of a large number of remarkable phenomena, in which the large magnitude of the pairing gap plays an essential role: quantum shock waves, quantum turbulence, Anderson-Higgs mode, vortex rings, domain walls, soliton vortices, vortex pinning in neutron star crust, unexpected dynamics of fragmented condensates and role of pairing correlations in collisions on heavy-ions, Larkin-Ovchinnikov phase as an example of a Fermi supersolid, role pairing correlations control the dynamics of fissioning nuclei, self-bound superfluid fermion droplets of extremely low densities.

The published version, which corrected text and additional references

References in corpus (19)

• Theory of ultracold Fermi gases
• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Finite Temperature Models of Bose-Einstein Condensation
• Normal state of a polarized Fermi gas at unitarity
• Determination of the Superfluid Gap in Atomic Fermi Gases by Quasiparticle Spectroscopy
• Local Density Functional Theory for Superfluid Fermionic Systems: The Unitary Gas
• A Unitary Fermi Supersolid: The Larkin-Ovchinnikov Phase
• Universal properties of a trapped two-component Fermi gas at unitarity
• Energetics and Structural Properties of Trapped Two-Component Fermi Gases
• Zero Temperature Thermodynamics of Asymmetric Fermi Gases at Unitarity
• Polarization Measurements and the Pairing Gap in the Universal Regime
• Determination of the Equation of State of a Two-Component Fermi Gas at Unitarity
• Large Amplitude Dynamics of the Pairing Correlations in a Unitary Fermi Gas
• Unitary evolution with fluctuations and dissipation
• Life Cycle of Superfluid Vortices and Quantum Turbulence in the Unitary Fermi Gas
• Integrable time-dependent Hamiltonians, solvable Landau-Zener models and Gaudin magnets
• Suppressed solitonic cascade in spin-imbalanced superfluid Fermi gas
• Spin-polarized droplets in the unitary Fermi gas
• Towards Quantum Turbulence in Cold Atomic Fermionic Superfluids

Cited by in corpus (34)

• Fission Dynamics of 240Pu from Saddle-to-Scission and Beyond
• Nuclear Fission Dynamics: Past, Present, Needs, and Future
• Fission fragments intrinsic spins and their correlations
• Measures of complexity and entanglement in fermionic many-body systems
• Entanglement entropy, single-particle occupation probabilities, and short-range correlations
• Time-dependent extension of the self-consistent band theory for neutron star matter: Anti-entrainment effects in the slab phase
• Neck Rupture and Scission Neutrons in Nuclear Fission
• Indirect methods in nuclear astrophysics with relativistic radioactive beams
• Universal Aspects of Vortex Reconnections across the BCS-BEC Crossover
• Pairing dynamics and solitonic excitations in collisions of medium-mass, identical nuclei
• Fission Fragment Excitation Energy Sharing Beyond Scission
• Pure quantum extension of the semiclassical Boltzmann-Uehling-Uhlenbeck equation
• Quantum fluctuations induce collective multiphonons in finite Fermi liquids
• Entrainment effects in neutron-proton mixtures within the nuclear-energy density functional theory. II. Finite temperatures and arbitrary currents
• Superfluid extension of the self-consistent time-dependent band theory for neutron star matter: Anti-entrainment versus superfluid effects in the slab phase
• Fermionic Quantum Turbulence: Pushing the Limits of High-Performance Computing
• Quantum vortices in fermionic superfluids: from ultracold atoms to neutron stars
• Gapless superfluidity in neutron stars: Thermal properties
• Gapless superfluidity in neutron stars: Normal-fluid fraction
• Superfluid fraction in the crystalline crust of a neutron star: role of BCS pairing
• New developments in fission studies within the time-dependent density functional theory framework
• Time-dependent nuclear energy-density functional theory toolkit for neutron star crust: Dynamics of a nucleus in a neutron superfluid
• Sensitivity to the initial conditions of the Time-Dependent Density Functional Theory
• Quantum turbulence, superfluidity, non-Markovian dynamics, and wave function thermalization
• Non-Markovian character and irreversibility of real-time quantum many-body dynamics
• Pygmy resonances and symmetry energy
• Time-Dependent Density Functional Theory Description of ${}^{238}$U(n,f), ${}^{240,242}$Pu(n,f) and ${}^{237}$Np(n,f) Reactions
• Examining the justification for the introduction of a fermion localization function
• Fragment Intrinsic Spins and Fragments' Relative Orbital Angular Momentum in Nuclear Fission
• Vortex lattice in spin-imbalanced unitary Fermi gas
• Non-Equilibrium Aspects of Fission Dynamics within the Time Dependent Density Functional Theory
• A critical assessment of the current implementations of the Generator Coordinate Method
• Local Quantum Cooling for Large Fermi Systems with Pairing
• Restoring Broken Symmetries for Nuclei and Reaction Fragments