Time-Dependent Density Functional Theory and the Real-Time Dynamics of Fermi Superfluids

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.

49 pages, 14 figures

References in corpus (28)

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• Theory of ultracold Fermi gases
• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Universal Quantum Viscosity in a Unitary Fermi Gas
• On Dispersive and Classical Shock Waves in Bose-Einstein Condensates and Gas Dynamics
• Viscosity and scale invariance in the unitary Fermi gas
• Formation of Quantum Shock Waves by Merging and Splitting Bose-Einstein Condensates
• Local Density Functional Theory for Superfluid Fermionic Systems: The Unitary Gas
• Thermodynamic Measurements in a Strongly Interacting Fermi Gas
• A Unitary Fermi Supersolid: The Larkin-Ovchinnikov Phase
• Universal properties of a trapped two-component Fermi gas at unitarity
• Evolving Nuclear Many-Body Forces with the Similarity Renormalization Group
• Resonantly Interacting Fermions In a Box
• Microscopically-based energy density functionals for nuclei using the density matrix expansion: Implementation and pre-optimization
• Polarization Measurements and the Pairing Gap in the Universal Regime
• Quantum Turbulence
• Orthogonality catastrophe and shock waves in a non-equilibrium Fermi gas
• Large Amplitude Dynamics of the Pairing Correlations in a Unitary Fermi Gas
• Quantum calculation of vortices in the inner crust of neutron stars
• Traveling Dark Solitons in Superfluid Fermi Gases
• Vortex-nucleus interaction in the inner crust of neutron stars
• Shear Viscosity of a Unitary Fermi Gas
• Cooper pair turbulence in atomic Fermi gases
• Shock waves in strongly interacting Fermi gas from time-dependent density functional calculations
• Strength of the Vortex-Pinning Interaction from Real-Time Dynamics
• The Trapped Polarized Fermi Gas at Unitarity

Cited by in corpus (64)

• Time-dependent density-functional description of nuclear dynamics
• Induced Fission of ${}^{240}$Pu within a Real-Time Microscopic Framework
• TDHF Theory and Its Extensions for the Multinucleon Transfer Reaction: a Mini Review
• Theory of Nuclear Fission
• Fission Dynamics of 240Pu from Saddle-to-Scission and Beyond
• Stochastic quantum dynamics beyond mean-field
• The critical velocity in the BEC-BCS crossover
• Quantized Superfluid Vortex Rings in the Unitary Fermi Gas
• Vortex pinning and dynamics in the neutron star crust
• Novel Role of Superfluidity in Low-Energy Nuclear Reactions
• Nuclear Fission Dynamics: Past, Present, Needs, and Future
• A Minimal Nuclear Energy Density Functional
• Fission fragments intrinsic spins and their correlations
• Computational Nuclear Quantum Many-Body Problem: The UNEDF Project
• Superfluid hydrodynamics in the inner crust of neutron stars
• Measures of complexity and entanglement in fermionic many-body systems
• Unitary evolution with fluctuations and dissipation
• Entanglement entropy, single-particle occupation probabilities, and short-range correlations
• Relativistic Coulomb excitation within Time Dependent Superfluid Local Density Approximation
• Time-Dependent Density Functional Theory for Fermionic Superfluids: from Cold Atomic Gases, to Nuclei and Neutron Stars Crust
• Short-range correlations effects on the deformability of neutron stars
• Suppressed solitonic cascade in spin-imbalanced superfluid Fermi gas
• Dynamics of Fragmented Condensates and Macroscopic Entanglement
• Towards Quantum Turbulence in Cold Atomic Fermionic Superfluids
• Visualizing the BEC-BCS crossover in the two-dimensional Fermi gas: pairing gaps and dynamical response functions from ab initio computations
• Two-body dissipation effect in nuclear fusion reactions
• Coordinate-space solver for finite-temperature Hartree-Fock-Bogoliubov calculation using the shifted Krylov method
• Indirect methods in nuclear astrophysics with relativistic radioactive beams
• Pairing dynamics and solitonic excitations in collisions of medium-mass, identical nuclei
• Pure quantum extension of the semiclassical Boltzmann-Uehling-Uhlenbeck equation
• Quantum fluctuations induce collective multiphonons in finite Fermi liquids
• Thouless-Valatin Rotational Moment of Inertia from the Linear Response Theory
• Fermionic Quantum Turbulence: Pushing the Limits of High-Performance Computing
• Finite temperature vortices in a rotating Fermi gas
• Nonequilibrium dynamics of superconductivity in the attractive Hubbard model
• Dynamic structure factor of a strongly correlated Fermi superfluid within a density functional theory approach
• Solitonic excitations in collisions of superfluid nuclei: a qualitatively new phenomenon distinct from the Josephson effect
• Nuclear ground states in a consistent implementation of the time-dependent density matrix approach
• New developments in fission studies within the time-dependent density functional theory framework
• Current Status of Nuclear Physics Research
• Time-dependent nuclear energy-density functional theory toolkit for neutron star crust: Dynamics of a nucleus in a neutron superfluid
• Verification of an analytic fit for the vortex core profile in superfluid Fermi gases
• Transport of Spin and Mass at Normal-Superfluid Interfaces in the Unitary Fermi Gas
• Quantum turbulence, superfluidity, non-Markovian dynamics, and wave function thermalization
• Multiconfigurational time-dependent density functional theory for atomic nuclei: Technical and numerical aspects
• Variational Approach to Tunneling Dynamics. Application to Hot Superfluid Fermi Systems. Spontaneous and Induced Fission
• Out-of-equilibrium dynamics of repulsive Fermi gases in quasi-periodic potentials: a Density Functional Theory study
• Non-Markovian character and irreversibility of real-time quantum many-body dynamics
• Dynamical Coupling of Pygmy and Giant Resonances in Relativistic Coulomb Excitation
• Time-Dependent Density Functional Theory Description of ${}^{238}$U(n,f), ${}^{240,242}$Pu(n,f) and ${}^{237}$Np(n,f) Reactions
• Microscopic description of large amplitude collective motion in the nuclear astrophysics context
• Pygmy resonances and symmetry energy
• Nuclear Fission: from more phenomenology and adjusted parameters to more fundamental theory and increased predictive power
• Fission in a microscopic framework: from basic science to support for applications
• Fragment Intrinsic Spins and Fragments' Relative Orbital Angular Momentum in Nuclear Fission
• A critical assessment of the current implementations of the Generator Coordinate Method
• Microscopic Calculations of Vortex-Nucleus Interaction in the Neutron Star Crust
• Pigmy resonances, transfer, and separable potentials
• Restoring Broken Symmetries for Nuclei and Reaction Fragments
• The LISE package: solvers for static and time-dependent superfluid local density approximation equations in three dimensions
• Local energy density functional for superfluid Fermi gases from effective field theory
• Framework for Polarized Superfluid Fermion Systems
• Microscopic Theory of Nuclear Fission
• Local Quantum Cooling for Large Fermi Systems with Pairing