Theory of ultracold Fermi gases
arXiv:0706.3360 · doi:10.1103/RevModPhys.80.1215
Abstract
The physics of quantum degenerate Fermi gases in uniform as well as in harmonically trapped configurations is reviewed from a theoretical perspective. Emphasis is given to the effect of interactions which play a crucial role, bringing the gas into a superfluid phase at low temperature. In these dilute systems interactions are characterized by a single parameter, the s-wave scattering length, whose value can be tuned using an external magnetic field near a Feshbach resonance. The BCS limit of ordinary Fermi superfluidity, the Bose-Einstein condensation (BEC) of dimers and the unitary limit of large scattering length are important regimes exhibited by interacting Fermi gases. In particular the BEC and the unitary regimes are characterized by a high value of the superfluid critical temperature, of the order of the Fermi temperature. Different physical properties are discussed, including the density profiles and the energy of the ground-state configurations, the momentum distribution, the fraction of condensed pairs, collective oscillations and pair breaking effects, the expansion of the gas, the main thermodynamic properties, the behavior in the presence of optical lattices and the signatures of superfluidity, such as the existence of quantized vortices, the quenching of the moment of inertia and the consequences of spin polarization. Various theoretical approaches are considered, ranging from the mean-field description of the BCS-BEC crossover to non-perturbative methods based on quantum Monte Carlo techniques. A major goal of the review is to compare the theoretical predictions with the available experimental results.
Revised and abridged version accepted for publication in Rev. Mod. Phys.: 63 pages, 36 figures
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- Relativistic quantum effects of Dirac particles simulated by ultracold atoms
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- Effective-Range Dependence of Resonantly Interacting Fermions
- Collective Modes in a Unitary Fermi Gas across the Superfluid Phase Transition
- Universal contact of strongly interacting fermions at finite temperatures
- Fluid Dynamics and Viscosity in Strongly Correlated Fluids
- Spin 3/2 fermions with attractive interactions in a one-dimensional optical lattice: phase diagrams, entanglement entropy, and the effect of the trap
- FFLO state in 1, 2, and 3 dimensional optical lattices combined with a non-uniform background potential
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- Multimer formation in 1D two-component gases and trimer phase in the asymmetric attractive Hubbard model
- Cold Atom Quantum Simulator for Dilute Neutron Matter
- Predicting Energies of Small Clusters from the Inhomogeneous Unitary Fermi Gas
- Induced interactions for ultracold Fermi gases in optical lattices
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- Three-body problem in a two-dimensional Fermi gas
- Ab-initio variational wave functions for the time-dependent many-electron Schrödinger equation
- Superfluidity near phase separation in Bose-Fermi mixtures
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- Dynamical properties of the unitary Fermi gas: collective modes and shock waves
- Universal scaling effects of a temperature gradient at first-order transitions
- Quantum Coherent Control via Pauli Blocking
- Many-body molecule formation at a domain wall in a one-dimensional strongly interacting ultracold Fermi gas
- Transdimensional equivalence of universal constants for Fermi gases at unitarity
- Simulating sympathetic cooling of atomic mixtures in nonlinear traps
- Stability of the Fulde-Ferrell-Larkin-Ovchinnikov states in anisotropic systems and critical behavior at thermal -axial Lifshitz points
- Density correlation functions and the spatial structure of the two-dimensional BEC-BCS crossover
- Ladder resummation of spin 1/2 fermion many-body systems with arbitrary partial-wave content
- Photon-mediated dipole-dipole interactions as a resource for quantum science and technology in cold atoms
- Order in the interference of a long chain of Bose condensates with unrestricted phases
- Density profile of noninteracting fermions in a rotating trap at finite temperature
- Effective Hamiltonian with tunable mixed pairing in driven optical lattices
- Quantum field theory for multipolar composite bosons with mass defect and relativistic corrections
- Coupled pair approach for strongly-interacting trapped fermionic atoms
- Test for BCS-BEC Crossover in the Cuprate Superconductors
- Production of a highly degenerate Fermi gas of metastable helium-3 atoms
- Adiabatic sound velocity and compressibility of a trapped d-dimensional ideal anyon gas
- Thermodynamics of one-dimensional SU(4) and SU(6) fermions with attractive interactions
- Optical spin conductivity in ultracold quantum gases
- Universal spatiotemporal dynamics of spontaneous superfluidity breakdown in the presence of synthetic gauge fields
- Pseudogap phenomena in a two-dimensional ultracold Fermi gas near the Berezinskii-Kosterlitz-Thouless transition
- Mesoscopic pairing without superconductivity
- Spin susceptibility and effects of a harmonic trap in the BCS-BEC crossover regime of an ultracold Fermi gas
- Structure and stability of quasi-two-dimensional boson-fermion mixtures with vortex-antivortex superposed states
- Phase separations induced by a trapping potential in one-dimensional fermionic systems as a source of core-shell structures
- Intrinsic Correlations Among Characteristics of Neutron-rich Matter Imposed by the Unbound Nature of Pure Neutron Matter
- Impact of Multiple Phase Transitions in Dense QCD on Compact Stars
- One-dimensional purely Lee-Huang-Yang fluids dominated by quantum fluctuations in two-component Bose-Einstein condensates
- Josephson effect as signature of electron-hole superfluidity in bilayers of van der Waals heterostructures
- What can we learn from diffusion about Anderson localization of a degenerate Fermi gas?
- Spontaneous Emission in ultra-cold spin-polarised anisotropic Fermi Seas
- Nature of the mixed-parity pairing of attractive fermions with spin-orbit coupling in optical lattice
- Resonant Manipulation of d-wave Interaction of Cold Atoms with Two Lasers and a Magnetic Field
- Probing ultracold Fermi gases with light-induced gauge potentials
- Extended Falicov-Kimball model: Hartree-Fock vs DMFT approach
- Two types of dark solitons in a spin-orbit-coupled Fermi gas
- Thermodynamics of rotating quantum matter in the virial expansion
- Scaling phenomena driven by inhomogeneous conditions at first-order quantum transitions
- Low-Dimensional Fluctuations and Pseudogap in Gaudin-Yang Fermi Gases
- Thermodynamics of a phase-driven proximity Josephson junction
- Dynamic properties of superconductors: Anderson-Bogoliubov mode and Berry phase in BCS and BEC regimes
- Effect of spatial inhomogeneity on the mapping between strongly interacting fermions and weakly interacting spins
- On the Gravitational Wave to Matter Coupling of Superfluid Fermi Gases Near Unitarity
- Efficient matter-wave lensing of ultracold atomic mixtures
- Perturbative treatment of nonlocal chiral interactions in auxiliary-field diffusion Monte Carlo calculations
- Feshbach Resonances and Medium Effects in ultracold atomic Gases
- Microscopic derivation of the Boltzmann equation for transport coefficients of resonating fermions at high temperature
- Viscosity spectral function of a scale invariant non-relativistic fluid from holography
- Nuclear matter from the ladder resummation in terms of the experimental nucleon-nucleon scattering amplitudes
- Brueckner -matrix approach to two-dimensional Fermi gases with the finite-range attractive interaction
- A holographic perspective on non-relativistic conformal defects
- Spin-asymmetric Josephson plasma oscillations
- A local exchange theory for trapped dipolar gases
- Exciting the long-lived Higgs mode in superfluid Fermi gases with particle removal
- Estimates and power counting in uniform matter with softened interactions
- Quantum Monte Carlo and perturbative study of two-dimensional Bose-Fermi mixtures
- Kosterlitz-Thouless transition and vortex-antivortex lattice melting in two-dimensional Fermi gases with - or -wave pairing
- Bulk viscosity of resonantly interacting fermions in the quantum virial expansion
- New opportunites for interactions and control with ultracold lanthanides
- Superfluid neutron matter with a twist
- Nonequilibrium BCS-BEC crossover and unconventional FFLO superfluid in a strongly interacting driven-dissipative Fermi gas
- Pairing correlations in a trapped one-dimensional Fermi gas
- Thermodynamic contacts and breathing mode physics of 1D p-wave Fermi gases in the high temperature limit
- Production of dual species Bose-Einstein condensates of K and Rb
- Machine learning one-dimensional spinless trapped fermionic systems with neural-network quantum states
- Impurity-induced pairing in two-dimensional Fermi gases
- Quantum thermochemical engines
- Photo-excitation measurement of Tan's contact for a strongly interacting Fermi gas
- Geometric scale invariance as a route to macroscopic degeneracy: loading a toroidal trap with a Bose or Fermi gas
- Three-dimensional correlated-fermion phase separation from analysis of the geometric mean of the individual susceptibilities
- Analytic normal mode frequencies for N identical particles: The microscopic dynamics underlying the emergence and stability of excitation gaps from BCS to unitarity
- Few-body perspective on fermionic pairing in one spatial dimension
- Kernel-Function Based Quantum Algorithms for Finite Temperature Quantum Simulation
- Quantum Monte Carlo method applied to strongly correlated dilute fermi gases with finite effective range
- Nucleon Short-Range Correlations and High-Momentum Dynamics: Implications on the Equation of State of Dense Matter
- Nonequilibrium dynamics of noninteracting fermions in a trap
- An efficient method to generate near-ideal hollow beams of different shapes for box potential of quantum gases
- Low-energy modes of spin-imbalanced Fermi gases in BCS phase
- Resonance triplet dynamics in the quenched unitary Bose gas
- Spectroscopic evidence for engineered hadron formation in repulsive fermionic Hubbard Models
- Dynamic structure factor of two-dimensional Fermi superfluid with Rashba spin-orbit coupling
- Study of implosion in an attractive Bose-Einstein condensate
- Resonance-to-bound transition of He in neutron matter and its analogy with heteronuclear Feshbach molecule
- Determination of Landau Fermi-liquid parameters of strongly interacting fermions by means of a nonlinear scaling transformation
- Path Integral Monte Carlo study of particles obeying quantum mechanics and classical statistics
- Three-body contact for fermions. I. General relations
- New Insights into Supradense Matter from Dissecting Scaled Stellar Structure Equations
- Multipolar Fermi-surface deformation in a Rydberg-dressed Fermi gas with long-range anisotropic interactions
- Many-body theories of density response for a strongly correlated Fermi gas
- Viscosity of a Multi-channel One-Dimensional Fermi Gas
- Dynamic virial theorem at nonequilibrium and applications
- Universality in Ultra-Cold Few- and Many-Boson Systems
- One-body dynamical correlation function of Lieb-Liniger model at finite temperature
- Particle and pair spectra for strongly correlated Fermi gases: A real-frequency solver
- Adiabatic transition from a BCS superconductor to a Fermi liquid and phase dynamics
- Impurity with a resonance in the vicinity of the Fermi energy
- Energy fluctuation and discontinuity of specific heat
- Spectral properties and observables in ultracold Fermi gases
- Correlations and synchronization in a Bose-Fermi mixture
- Three-body bound states in a harmonic waveguide with cylindrical symmetry
- Many-Body Formation and Dissociation of a Dipolar Chain Crystal
- Localized modes in two-dimensional Schroedinger lattices with a pair of nonlinear sites
- Collective excitation and stability of flow-induced gapless Fermi superfluids
- Pseudogap regime of a two-dimensional uniform Fermi gas
- Many-body dynamics of p-wave Feshbach molecule production: a mean-field approach
- Quantum Effects at Low Energy Atom-Molecule Interface
- A Composite Fermion Approach to the Ultracold Dilute Fermi Gas
- Long-lived mesoscopic entanglement between two damped infinite harmonic chains
- Spin-dipole mode in a trapped Fermi gas near unitarity
- Dark solitons in the unitary Bose gas
- Constrained extrapolation problem and order-dependent mappings
- Spin-charge bound states and emerging fermions in a quantum spin liquid
- Universal bound states and resonances with Coulomb plus short-range potentials
- Emergence of Sound in a Tunable Fermi Fluid
- Pairing properties of an odd-frequency superfluid Fermi gas
- Exact Dynamics and Shortcuts to Adiabaticity in the Tomonaga-Luttinger Liquid
- Pressure of a dilute spin-polarized Fermi gas: Lower bound
- Fundamental Limits of Feedback Cooling Ultracold Atomic Gases
- Isothermal compressibility and effects of multi-body molecular interactions in a strongly interacting ultracold Fermi gas
- Gradient corrections to the local density approximation in the one-dimensional Bose gas
- Hybrid-pair superfluidity in a strongly driven Fermi gas
- Revisiting the concept of chemical potential in classical and quantum gases: A perspective from Equilibrium Statistical Mechanics
- Dissipative superfluid hydrodynamics for the unitary Fermi gas
- Anomalous Flux Quantization in the Spin-Imbalanced Attractive Hubbard Ring
- BCS-BEC crossover of the strongly interacting Li-K mixture
- Multichannel quantum-defect theory for anisotropic interactions
- Thermodynamic Properties of Universal Fermi Gases
- Spin Hall mode in a trapped thermal Rashba gas
- Cold atoms beyond atomic physics
- A quantum Monte Carlo method on asymptotic Lefschetz thimbles for quantum spin systems: An application to the Kitaev model in a magnetic field
- Universal scattering phase shift in the presence of spin-orbit coupling
- Universality and tails of long range interactions in one dimension
- Broad Feshbach resonance with a large background scattering length in a fermionic atom-molecule mixture
- On the Weakness of Short-Range Interactions in Fermi Gases
- Attenuating Dynamics of Strongly Interacting Fermionic Superfluids in SYK Solvable Models
- Extended quasiparticle Padé approximation for non-Fermi liquids
- Dimer problem on a spherical surface
- Vortices in fermion droplets with repulsive dipole-dipole interactions
- Dipole-Mode Spectrum and Hydrodynamic Crossover in a Resonantly Interacting Two-Species Fermion Mixture
- Magnetic properties of commensurate Bose-Bose mixtures in one-dimensional optical lattices
- Vortex Mass in Superfluid Fermi Gases along the BEC-BCS Crossover
- Coupled oscillator model of a trapped Fermi gas at the BEC-BCS crossover
- Exact first-order effect of interactions on the ground-state energy of harmonically-confined fermions
- Single Particle Spectroscopies of -wave and -wave Interacting Bose Gases in Normal Phase
- When does a Fermi puddle become a Fermi sea? Emergence of pairing in two-dimensional trapped mesoscopic Fermi gases
- Localized fermions on the triangular lattice with Ising-like interactions
- Artificial magnetism for a harmonically trapped Fermi gas in a synthetic magnetic field
- Spatial correlations and entanglement in a hybrid system of N fermion pairs with harmonic interaction
- Hierarchy of pairing in imbalanced three-component one-dimensional Fermi gas
- Vortex-lattice structures in rotating Bose-Fermi superfluid mixtures
- Superfluid (Amplitude) Fluctuations Above in a Unitary Fermi Gas
- The normal state of attractive Fermi gases from coupled-cluster theory
- An exact Markovian decoherence dynamics of two interacting harmonic oscillators coupled to a bosonic heat bath
- Quenched disorder and the BCS-BEC crossover in the Hubbard model
- Thermodynamic characteristics of ideal quantum gases in harmonic potentials within exact and semiclassical approaches
- Non-universal Fermi polaron in quasi two-dimensional quantum gases
- Magnetoresistance in the Extreme Quantum Limit: Field-Induced Crossover to the Unitarity Limit
- Quantum halo states in two-dimensional dipolar clusters
- Faraday Waves in strongly interacting superfluids
- Phase Transitions of Repulsive Two-Component Fermi Gases in Two Dimensions
- Normal-state Properties of a Unitary Bose-Fermi Mixture: A Combined Strong-coupling Approach with Universal Thermodynamics
- Detecting the tunneling rates for strongly interacting fermions on optical lattices
- Critical temperature of pair condensation in a dilute Bose gas with spin-orbit coupling
- Paired fermionic superfluids with s- and p-wave interactions
- Superfluid properties of an ultracold Fermi gas with an orbital Feshbach resonance in the BCS-BEC crossover region
- Strong Boundary and Trap Potential Effects on Emergent Physics in Ultra-Cold Fermionic Gases
- Spontaneous symmetry breaking in rotating condensates of ultracold atoms
- Effect of disorder on the interacting Fermi gases in a one-dimensional optical lattice
- Adaptive propagation of quantum few-body systems with time-dependent Hamiltonians
- Reflections on future problems in cluster science
- Breached pair superfluidity: a brief review
- Collective Excitations of Harmonically Trapped Ideal Gases
- Density of states for the Unitary Fermi gas and the Schwarzschild black hole
- Dynamics of a solitonic vortex in an anisotropically trapped superfluid
- Low Energy Continuum and Lattice Effective Field Theories
- Resonant superfluidity in the Rabi-coupled spin-dependent Fermi-Hubbard model
- Pattern Formation and Evidence of Quantum Turbulence in Binary Bose-Einstein Condensates Interacting with a Pair of Laguerre-Gaussian Laser Beams
- Neutron drop trapped in axially deformed external fields
- Observation of Universal Expansion Anisotropy from Cold Atoms to Hot Quark-Gluon Plasma
- Cavity-induced phase stability to decelerate a fast molecular beam via feedback-controlled time-varying optical pumps
- Superfluid transition in quasi-two-dimensional disordered dipolar Fermi gases
- Equivalence of dissipative and dissipationless dynamics of interacting quantum systems with its application to the unitary Fermi gas
- Exact four-point function and OPE for an interacting quantum field theory with space/time anisotropic scale invariance
- Extreme dynamics and relaxation of quantum gases: A hydrodynamic approach
- Collective effects in an incompressible electronic liquid
- Bardeen-Cooper-Schrieffer--type pairing in a spin- Bose gas with spin-orbit coupling
- Quasiparticle nature of the Bose polaron at finite temperature
- Unconventional pairing in few-fermion systems tuned by external confinement
- Off-shell selfenergy for 1-D Fermi liquids
- Scaling theory for the collapse of a trapped Bose gas in a synthetic magnetic field: a critical study at the condensation point
- Heating and Cooling in Adiabatic Mixing process
- Two-band atomic superfluidity in the presence of an orbital Feshbach resonance
- PhD thesis "Extreme value statistics of strongly correlated systems: fermions, random matrices and random walks"
- Electronic quantum wires in extended quasiparticle picture
- Measurement resolution enhanced coherence for lattice fermions
- Mechanisms of anomalous three-body loss in a population-imbalanced three-component Fermi gas
- Paramagnetic phases of strongly correlated ultracold fermions coupled to an optical cavity
- How many particles do make a fluid? Qualifying collective behavior in expanding ultracold gases
- High-performance, additively-manufactured atomic spectroscopy apparatus for portable quantum technologies
- Self-consistent inclusion of disorder in the BCS-BEC crossover near the critical temperature
- Quench induced collective excitations: from breathing to acoustic modes
- Neutron Star Equation of State with Nucleon Short-Range Correlations: A Concise Review and Open Issues
- Quantum Computing Demonstration of the Polaron-Molecule Transition on a NISQ Device
- Fulde-Ferrell superfluids in an asymmetric three-component Fermi Gas
- Structures and proximity effects of inhomogeneous population-imbalanced Fermi gases with pairing interactions
- Density Modulations of Zero Sound
- Emergence of Topological Fermi Liquid from a Strongly Correlated Bosonic System in Optical Superlattices
- Probing information theoretic measures of nonlinear ultracold quantum gases using phase-space distributions
- Insulating-to-conducting state transition in the bilayer Hubbard model induced by a perpendicular quench field