The Unitary Fermi Gas: From Monte Carlo to Density Functionals
arXiv:1008.3933 · doi:10.1007/978-3-642-21978-8
Abstract
In this chapter, we describe three related studies of the universal physics of two-component unitary Fermi gases with resonant short-ranged interactions. First we discuss an ab initio auxiliary field quantum Monte Carlo technique for calculating thermodynamic properties of the unitary gas from first principles. We then describe in detail a Density Functional Theory (DFT) fit to these thermodynamic properties: the Superfluid Local Density Approximation (SLDA) and its Asymmetric (ASLDA) generalization. We present several applications, including vortex structure, trapped systems, and a supersolid Larkin-Ovchinnikov (FFLO/LOFF) state. Finally, we discuss the time-dependent extension to the density functional (TDDFT) which can describe quantum dynamics in these systems, including non-adiabatic evolution, superfluid to normal transitions and other modes not accessible in traditional frameworks such as a Landau-Ginzburg, Gross-Pitaevskii, or quantum hydrodynamics.
73 pages, 20 figures. Chapter 9 in "The BCS-BEC Crossover and the Unitary Fermi Gas" edited by W. Zwerger (Springer, 2012). Updated to match published version
References in corpus (4)
Cited by in corpus (344)
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- Ultrafast many-body interferometry of impurities coupled to a Fermi sea
- A Mixture of Bose and Fermi Superfluids
- BCS-BEC Crossover and the Unitary Fermi Gas
- Homogeneous Atomic Fermi Gases
- Strongly Correlated Quantum Fluids: Ultracold Quantum Gases, Quantum Chromodynamic Plasmas, and Holographic Duality
- Bose-Einstein Condensation in a Plasmonic Lattice
- Nuclear forces and their impact on neutron-rich nuclei and neutron-rich matter
- Feynman diagrams versus Fermi-gas Feynman emulator
- Few-body physics with ultracold atomic and molecular systems in traps
- Imaging and addressing of individual fermionic atoms in an optical lattice
- Heavy Solitons in a Fermionic Superfluid
- Observation of an orbital interaction-induced Feshbach resonance in 173-Yb
- Quantum transport in ultracold atoms
- Universal Prethermal Dynamics of Bose Gases Quenched to Unitarity
- Josephson effect in fermionic superfluids across the BEC-BCS crossover
- Observation of Bose-Einstein Condensation of Dipolar Molecules
- Lifetime of the Bose Gas with Resonant Interactions
- The Fulde-Ferrell-Larkin-Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review
- Exotic Superconducting States in FeSe-based Materials
- Connecting strongly correlated superfluids by a quantum point contact
- Equation of State of Ultracold Fermions in the 2D BEC-BCS Crossover Region
- Two and Three-body Contacts in the Unitary Bose Gas
- Precise determination of the structure factor and contact in a unitary Fermi gas
- Transverse Demagnetization Dynamics of a Unitary Fermi Gas
- Goldstone mode and pair-breaking excitations in atomic Fermi superfluids
- Fission Dynamics of 240Pu from Saddle-to-Scission and Beyond
- Quantum anomaly, universal relations, and breathing mode of a two-dimensional Fermi gas
- Dark Matter Superfluidity and Galactic Dynamics
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- Generalized nuclear contacts and the nucleon's momentum distributions
- Quantized Superfluid Vortex Rings in the Unitary Fermi Gas
- Time-Dependent Density Functional Theory and the Real-Time Dynamics of Fermi Superfluids
- Transition from a polaronic condensate to a degenerate Fermi gas of heteronuclear molecules
- Superconducting quantum criticality in three-dimensional Luttinger semimetals
- Kibble-Zurek universality in a strongly interacting Fermi superfluid
- Vortex pinning and dynamics in the neutron star crust
- Novel Role of Superfluidity in Low-Energy Nuclear Reactions
- Ultradilute quantum liquid drops
- Broad universal Feshbach resonances in the chaotic spectrum of Dysprosium atoms
- Universal Sound Diffusion in a Strongly Interacting Fermi Gas
- Selected Topics in the Large Quantum Number Expansion
- A Minimal Nuclear Energy Density Functional
- Mapping out spin and particle conductances in a quantum point contact
- Two-body and Three-body Contacts for Identical Bosons near Unitarity
- Zero-point energy of ultracold atoms
- Production of a degenerate Fermi-Fermi mixture of dysprosium and potassium atoms
- Feshbach resonances in potassium Bose-Bose mixtures
- Phenomenological consequences of superfluid dark matter with baryon-phonon coupling
- Direct observation of non-local fermion pairing in an attractive Fermi-Hubbard gas
- Induced -wave pairing in Bose-Fermi mixtures
- Making statistics work: a quantum engine in the BEC-BCS crossover
- Resummation of diagrammatic series with zero convergence radius for strongly correlated fermions
- Probing Quantum Speed Limits with Ultracold Gases
- Dark Continuum in the Spectral Function of the Resonant Fermi Polaron
- Time-resolved observation of competing attractive and repulsive short-range correlations in strongly interacting Fermi gases
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- Quantum mixtures of ultracold gases of neutral atoms
- Resonantly Interacting Fermi-Fermi Mixture of Dy and K
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- Measures of complexity and entanglement in fermionic many-body systems
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- New type of crossover physics in three-component Fermi gases
- Modified Bethe-Peierls boundary condition for ultracold atoms with Spin-Orbit coupling
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- Ultracold field-linked tetratomic molecules
- Concavity of the collective excitation branch of a Fermi gas in the BEC-BCS crossover
- Time-Dependent Density Functional Theory for Fermionic Superfluids: from Cold Atomic Gases, to Nuclei and Neutron Stars Crust
- Temperature dependence of the pair coherence and healing lengths for a fermionic superfluid throughout the BCS-BEC crossover
- Large-momentum distribution of a polarized Fermi gas and p-wave contacts
- Trimers in the resonant 2+1 fermionic problem on a narrow Feshbach resonance : Crossover from Efimovian to Hydrogenoid spectrum
- Suppressed solitonic cascade in spin-imbalanced superfluid Fermi gas
- Equation of state of imbalanced cold matter from chiral perturbation theory
- The Landau critical velocity for a particle in a Fermi superfluid
- Bound states and expansion dynamics of interacting bosons on a one-dimensional lattice
- Resummation of in-medium ladder diagrams: s-wave effective range and p-wave interaction
- The contact in the unitary Fermi gas across the superfluid phase transition
- Monte Carlo Simulations of the Unitary Bose Gas
- Field-theoretical aspects of one-dimensional Bose and Fermi gases with contact interactions
- Pairing correlations across the superfluid phase transition in the unitary Fermi gas
- Induced pairing of fermionic impurities in a one-dimensional strongly correlated Bose gas
- Emergence of a pseudogap in the BCS-BEC crossover
- Bose-Einstein condensation of Efimovian triples in the unitary Bose gas
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- Chandrasekhar-Clogston limit and critical polarization in a Fermi-Bose superfluid mixture
- Effective interactions and fluctuation effects in spin-singlet superfluids
- Absence of a four-body Efimov effect in the 2 + 2 fermionic problem
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- Probing strongly interacting atomic gases with energetic atoms
- Extracing the number of short-range corerlated nucleon pairs from inclusive electron scattering data
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- Universal pair-polaritons in a strongly interacting Fermi gas
- Equation for the superfluid gap obtained by coarse graining the Bogoliubov-de Gennes equations throughout the BCS-BEC crossover
- High Frequency Sound in a Unitary Fermi Gas
- Critical behaviours of contact near phase transitions
- Validating Simple Dynamical Simulations of the Unitary Fermi Gas
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- High Sensitivity RF Spectroscopy of a Strongly-Interacting Fermi Gas
- Dynamical vanishing of the order parameter in a confined Bardeen-Cooper-Schrieffer Fermi gas after an interaction quench
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- Di-neutrons in neutron matter within Brueckner-Hartree-Fock approach
- Quantum Gas Microscopy of Fermions in the Continuum
- Weakly bound states of two- and three-boson systems in the crossover from two to three dimension
- Absence of heating in a uniform Fermi gas created by periodic driving
- Flat band transport and Josephson effect through a finite-size sawtooth lattice
- Strength of the Vortex-Pinning Interaction from Real-Time Dynamics
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- A Lee-Yang--inspired functional with a density--dependent neutron-neutron scattering length
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- Towards Quantum Turbulence in Cold Atomic Fermionic Superfluids
- Creating a bosonic fractional quantum Hall state by pairing fermions
- Imaginary polarization as a way to surmount the sign problem in ab initio calculations of spin-imbalanced Fermi gases
- Universal Noise in Continuous Transport Measurements of Interacting Fermions
- Realization of a Cold Mixture of Fermionic Chromium and Lithium Atoms
- Spin Polarized Non-Relativistic Fermions in 1+1 Dimensions
- Short-range correlations and the charge density
- Pairing and the spin susceptibility of the polarized unitary Fermi gas in the normal phase
- Short-distance properties of Coulomb systems
- On the Heat Kernel and Weyl Anomaly of Schrödinger invariant theory
- Stability of a fermionic particle system with point interactions
- Cooper Triples in Attractive Three-Component Fermions: Implication for Hadron-Quark Crossover
- Solution of the BEC to BCS Quench in One Dimension
- Tan's two-body contact across the superfluid transition of a planar Bose gas
- Dynamics of a Fermi gas quenched to unitarity
- Quantum critical thermal transport in the unitary Fermi gas
- The BCS-BEC Crossover
- Perfect-fluid behavior of a dilute Fermi gas near unitary
- Double Microwave Shielding
- Dark-soliton-like excitations in the Yang-Gaudin gas of attractively interacting fermions
- Inhomogeneous BCS-BEC crossover for trapped cold atoms in optical lattices
- Finite-range effects in the unitary Fermi polaron
- Dissipation Mechanisms in Fermionic Josephson Junction
- The fourth- and fifth-order virial coefficients from weak-coupling to unitarity
- Dissipative Dynamics of Quantum Vortices in Fermionic Superfluid
- Lifetime of Feshbach dimers in a Fermi-Fermi mixture of Li and K
- Transverse spin diffusion in strongly interacting Fermi gases
- Existence and Construction of Galilean invariant Theories
- The Shear Viscosity in an Anisotropic Unitary Fermi Gas
- Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
- Thermal equation of state of polarized fermions in one dimension via complex chemical potentials
- Beliaev damping of the Goldstone mode in atomic Fermi superfluids
- Persistent currents in ultracold gases
- Resonant pair-exchange scattering and BCS-BEC crossover in a system composed of dispersive and heavy incipient bands: a Feshbach analogy
- Universal Relation for the Inelastic Two-Body Loss Rate
- Energy-pressure relation for low-dimensional gases
- Unconventional pairing in one-dimensional systems of a few mass-imbalanced ultracold fermions
- Simulating a quantum commensurate-incommensurate phase transition using two Raman coupled one dimensional condensates
- Friction-free quantum machines
- Ultracold Feshbach molecules in an orbital optical lattice
- Phase diagram for strong-coupling Bose polarons
- Lieb-Thirring Inequality for a Model of Particles with Point Interactions
- Virial coefficients of 1D and 2D Fermi gases by stochastic methods and a semiclassical lattice approximation
- Andreev reflection spectroscopy in strongly paired superconductors
- One-dimensional Fermi polaron in a combined harmonic and periodic potential
- Association of Atoms into Universal Dimers using an Oscillating Magnetic Field
- Topological Superfluids and BEC-BCS Crossover in Attractive Haldane-Hubbard Model
- Analytic approach to transport in superconducting junctions with arbitrary carrier density
- Pairing dynamics and solitonic excitations in collisions of medium-mass, identical nuclei
- Exactly solvable model for a solitonic vortex in a compressible superfluid
- Universal Aspects of Vortex Reconnections across the BCS-BEC Crossover
- Finite-size and Particle-number Effects in an Ultracold Fermi Gas at Unitarity
- Pair formation in quenched unitary Bose gases
- Exploring emergent heterogeneous phases in strongly repulsive Fermi gases
- Ultracold ion-atom experiments: cooling, chemistry, and quantum effects
- Intersections of ultracold atomic polarons and nuclear clusters: How is a chart of nuclides modified in dilute neutron matter?
- Pure quantum extension of the semiclassical Boltzmann-Uehling-Uhlenbeck equation
- Universal relations for dipolar quantum gases
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- Bulk viscosity of resonating fermions revisited: Kubo formula, sum rule, and the dimer and high-temperature limits
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- Spin-polarized vortices with reversed circulation
- Larkin-Ovchinnikov phases in two-dimensional square lattices
- Dimensional Crossover in a Spin-imbalanced Fermi gas
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- Non-Hermitian BCS-BEC crossover of Dirac fermions
- Non-Hermitian topological Fermi superfluid near the -wave unitary limit
- Near-Schrödinger dynamics at large charge
- Observation of Dynamical Super Efimovian Expansion in a Unitary Fermi Gas
- Fluctuation Effects on the Transport Properties of Unitary Fermi Gases
- Fermionic Quantum Turbulence: Pushing the Limits of High-Performance Computing
- Translational-invariant bipolarons and superconductivity
- Incompatibility of time-dependent Bogoliubov--de-Gennes and Ginzburg--Landau equations
- Normal mass density of a superfluid Fermi gas at unitarity
- Vortex lattice in the crossover of a Bose gas from weak coupling to unitarity
- Emergent s-wave interactions between identical fermions in quasi-one-dimensional geometries
- Evolution of an attractive polarized Fermi gas: From a Fermi liquid of polarons to a non-Fermi liquid at the Fulde-Ferrell-Larkin-Ovchinnikov quantum critical point
- Stability of the 2+2 fermionic system with point interactions
- Role of the effective range in the density-induced BEC-BCS crossover
- Phase operators and blurring time of a pair-condensed Fermi gas
- The Contact in the BCS-BEC crossover for finite range interacting ultracold Fermi gases
- An impurity immersed in a double Fermi Sea
- Nonrelativistic Conformal Invariance in Mesoscopic Two-Dimensional Fermi Gases
- Spin Drag of a Fermi Gas in a Harmonic Trap
- Quenched dynamics of the momentum distribution of the unitary Bose gas
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- Shear viscosity and spin sum rules in strongly interacting Fermi gases
- Superconducting properties of 3D low-density TI-bipolaron gas in magnetic field
- Quantum vortices in fermionic superfluids: from ultracold atoms to neutron stars
- Approximate self-energy for Fermi systems with large s-wave scattering length: a step towards density functional theory
- Nonequilibrium noise as a probe of pair-tunneling transport in the BCS--BEC Crossover
- Beyond mean-field corrections to the quasiparticle spectrum of superfluid Fermi gases
- Phases of circle-compactified QCD with adjoint fermions at finite density
- Constructing Non-Relativistic AdS/CFT Holography
- Tripling Fluctuations and Peaked Sound Speed in Fermionic Matter
- Towards a field-theory interpretation of bottom-up holography
- Simulation of two-flavors symmetry-locking phases in ultracold fermionic mixtures
- Shapiro steps in strongly-interacting Fermi gases
- Ladder resummation of spin 1/2 fermion many-body systems with arbitrary partial-wave content
- Universal relations for spin-orbit coupled Fermi gas near an s-wave resonance
- Lee-Yang cluster expansion approach to the BCS-BEC crossover: BCS and BEC limits
- Spin susceptibility and effects of a harmonic trap in the BCS-BEC crossover regime of an ultracold Fermi gas
- Superfluidity of a dipolar Fermi gas in 2D optical lattices bilayer
- Comparison of renormalized interactions using one-dimensional few-body systems as a testbed
- Mesoscopic pairing without superconductivity
- Density-Induced Hadron-Quark Crossover via the Formation of Cooper Triples
- New developments in fission studies within the time-dependent density functional theory framework
- Phase transition of ultracold atoms immersed in a BEC vortex lattice
- Thermal fading of the -tail of the momentum distribution induced by the hole anomaly
- Universal relations for spin-orbit-coupled Fermi gases in two and three dimensions
- Spin-imbalanced ultracold Fermi gases in a two-dimensional array of tubes
- Observation of the Fermionic Joule-Thomson Effect
- Brueckner -matrix approach to two-dimensional Fermi gases with the finite-range attractive interaction
- Dispersion of plasmons in three-dimensional superconductors
- Dissipative processes at the acoustic horizon
- Transport of Spin and Mass at Normal-Superfluid Interfaces in the Unitary Fermi Gas
- Quantum fluctuations and vortex-antivortex unbinding in the 2D BCS-BEC crossover
- Nuclear matter from the ladder resummation in terms of the experimental nucleon-nucleon scattering amplitudes
- Galilean fermions: Classical and quantum aspects
- Kohn-Sham approach to Fermi gas superfluidity: the bilayer of fermionic polar molecules
- Superfluid transition in the attractive Hofstadter-Hubbard model
- A Multi-Purpose Platform for Analog Quantum Simulation
- Bosonic Particle-Correlated States: A Nonperturbative Treatment Beyond Mean Field
- Experimental setup for the production of ultracold strongly correlated fermionic superfluids of Li
- Stability of persistent currents in superfluid fermionic rings
- Emergent -wave interactions in orbitally active quasi-two-dimensional Fermi gases
- Effects of finite-range interactions on the one-electron spectral properties of one-dimensional metals: Application to Bi/InSb(001)
- Spin transport between polarized Fermi gases near the ferromagnetic phase transition
- Non-Markovian character and irreversibility of real-time quantum many-body dynamics
- Non-Hermitian Ferromagnetism in an Ultracold Fermi Gas
- Quantum Friction: Cooling Quantum Systems with Unitary Time Evolution
- Dynamical effects on superconductivity in BCS-BEC crossover
- Energy contribution of a point interacting impurity in a Fermi gas
- Spin-asymmetric Josephson plasma oscillations
- A field-induced reentrant insulator state of a gap-closed topological insulator (Bi_{1-x}Sb_x) in quantum-limit states
- Lagrangian formulation for perfect fluid equations with the l-conformal Galilei symmetry
- Dynamic virial theorem at nonequilibrium and applications
- Particle and pair spectra for strongly correlated Fermi gases: A real-frequency solver
- Three-body contact for fermions. I. General relations
- Exploring Superfluid in Dilute Spin-Polarized Neutron Matter
- Dominant Andreev Reflection through Nonlinear Radio-Frequency Transport
- Effective control of chemical potentials by Rabi coupling with rf-fields in ultracold mixtures
- Critical velocity, vortex shedding and drag in a unitary Fermi superfluid
- Time-Dependent Density Functional Theory Description of U(n,f), Pu(n,f) and Np(n,f) Reactions
- On the higher virial coefficients of a unitary Fermi gas
- Magnetized vector boson gas at any temperature
- Nuclear three-body short-range correlations in coordinate space
- Tan's adiabatic sweep theorem from the variational theorem for the scattering length
- Nambu-Covariant Many-Body Theory II: Self-Consistent Approximations
- Relative Phase and Josephson Dynamics between Weakly Coupled Richardson Models
- Strong-coupling Properties of a -wave Interacting Fermi Gas on the Viewpoint of Specific Heat at Constant Volume
- Exploring the Tan contact term in Yang-Mills theory
- Pseudogap regime of a two-dimensional uniform Fermi gas
- Bose and Fermi Statistics and the Regularization of the Nonrelativistic Jacobian for the Scale Anomaly
- Unconventional superfluidity in quasi-one-dimensional systems
- Unitary Fermi superfluid near the critical temperature: thermodynamics and sound modes from elementary excitations
- Self-binding of one-dimensional fermionic mixtures with zero-range interspecies attraction
- Emergence of Sound in a Tunable Fermi Fluid
- Equation of state of non-relativistic matter from automated perturbation theory and complex Langevin
- On nuclear short-range correlations and the zero-energy eigenstates of the Schrodinger equation
- Scattering length of composite bosons in the 3D BCS-BEC crossover
- Maxwell relation between entropy and atom-atom pair correlation
- In-medium bound-state formation and inhomogeneous condensation in Fermi gases in a hard-wall box
- Conformal Symmetry in nuclear structure
- Leading Order Corrections to the Free Energy and Phase Separation in Two-component Fermion Systems
- Thermodynamic Properties of Universal Fermi Gases
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- Triviality of a model of particles with point interactions in the thermodynamic limit
- Scale and conformal invariance in rotating interacting few-fermion systems
- EPR pairing dynamics in Hubbard model with resonant
- Dimer problem on a spherical surface
- The Gor'kov and Melik-Barkhudarov correction to an imbalanced Fermi gas in the presence of impurities
- Universal scattering phase shift in the presence of spin-orbit coupling
- Post-adiabatic Hamiltonian for low-energy excitations in a slowly time-dependent BCS-BEC crossover
- Cold atoms beyond atomic physics
- Hydrodynamic spectrum of a superfluid in an elongated trap
- The Gor'kov and Melik-Barkhudarov correction to the mean-field critical field transition to Fulde-Ferrell-Larkin-Ovchinnikov states
- Echoes and defects in the Calogero model
- Strong Coupling Effects on the Specific Heat of an Ultracold Fermi Gas in the Unitarity Limit
- When does a Fermi puddle become a Fermi sea? Emergence of pairing in two-dimensional trapped mesoscopic Fermi gases
- A lattice pairing-field approach to ultracold Fermi gases
- Tunable Molecular Interactions Near an Atomic Feshbach Resonance: Stability and Collapse of a Molecular Bose-Einstein Condensate
- Vortex-lattice structures in rotating Bose-Fermi superfluid mixtures
- Quantum halo states in two-dimensional dipolar clusters
- Rabi coupled fermions in the BCS-BEC crossover
- Probing pair correlations in Fermi gases with Ramsey-Bragg interferometry
- Dynamics of Supersolid state: normal fluid, superfluid, and supersolid velocities
- Quantum transport in strongly correlated Fermi gases
- Equivalence of dissipative and dissipationless dynamics of interacting quantum systems with its application to the unitary Fermi gas
- Density of states for the Unitary Fermi gas and the Schwarzschild black hole
- Quantum Computing Demonstration of the Polaron-Molecule Transition on a NISQ Device
- Emergence of Fermi's Golden Rule in the Probing of a Quantum Many-Body System
- Many-body perturbation theory for strongly correlated effective Hamiltonians using effective field theory methods
- Boltzmann equation with double-well potentials
- Energy bands in a three dimension simple cubic lattice of contact potential
- Interacting Bose-condensed gases
- Appropriate conditions to realize a -wave superfluid state starting from a spin-orbit coupled -wave superfluid Fermi gas
- Insulating-to-conducting state transition in the bilayer Hubbard model induced by a perpendicular quench field
- Small amplitude collective modes of a finite-size unitary Fermi gas in deformed traps
- Quasiparticle disintegration in fermionic superfluids