The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
arXiv:1802.05997 · doi:10.1016/j.physrep.2018.02.004
Abstract
This report adresses topics and questions of common interest in the fields of ultra-cold gases and nuclear physics in the context of the BCS-BEC crossover. The BCS-BEC crossover has recently been realized experimentally, and essentially in all of its aspects, with ultra-cold Fermi gases. This realization, in turn, has raised the interest of the nuclear physics community in the crossover problem, since it represents an unprecedented tool to test fundamental and unanswered questions of nuclear many-body theory. Here, we focus on the several aspects of the BCS-BEC crossover, which are of broad joint interest to both ultra-cold Fermi gases and nuclear matter, and which will likely help to solve in the future some open problems in nuclear physics (concerning, for instance, neutron stars). Similarities and differences occurring in ultra-cold Fermi gases and nuclear matter will then be emphasized, not only about the relative phenomenologies but also about the theoretical approaches to be used in the two contexts. After an introduction to present the key concepts of the BCS-BEC crossover, this report discusses the mean-field treatment of the superfluid phase, both for homogeneous and inhomogeneous systems, as well as for symmetric (spin- or isospin-balanced) and asymmetric (spin- or isospin-imbalanced) matter. Pairing fluctuations in the normal phase are then considered, with their manifestations in thermodynamic and dynamic quantities. The last two Sections provide a more specialized discussion of the BCS-BEC crossover in ultra-cold Fermi gases and nuclear matter, respectively. The separate discussion in the two contexts aims at cross communicating to both communities topics and aspects which, albeit arising in one of the two fields, share a strong common interest.
91 pages, 51 figures
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- Collective excitations of superfluid Fermi gases near the transition temperature
- Non-Hermitian topological Fermi superfluid near the -wave unitary limit
- Optically trapped Feshbach molecules of fermionic 161Dy and 40K
- Pair correlations in the normal phase of an attractive Fermi gas
- Non-Hermitian BCS-BEC crossover of Dirac fermions
- Spin Susceptibility Above the Superfluid Onset in Ultracold Fermi Gases
- Observation of confinement-induced resonances in a 3D lattice
- Tunable BCS-BEC crossover, reentrant, and hidden quantum phase transitions in two-band superconductors with tunable valence and conduction bands
- Equation of state of superfluid neutron matter with low-momentum interactions
- 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
- Role of the effective range in the density-induced BEC-BCS crossover
- Nuclear superfluidity at finite temperature
- Tunneling study in granular aluminum near the Mott metal-to-insulator transition
- Coexistence phase of and superfluids in neutron stars
- Theory of strongly paired fermions with arbitrary short-range interactions
- Chiral twodimensional p-wave superfluid from s-wave pairing in the BEC regime
- From odd-even staggering to the pairing gap in neutron matter
- Equation of State of Neutron-Rich Matter in -Dimensions
- Multi-Particle Tunneling Transport at Strongly-Correlated Interfaces
- Thermodynamic stability, compressibility matrix, and effects of mediated interactions in a strongly-interacting Bose-Fermi mixture
- Stability against three-body clustering in one-dimensional spinless p-wave fermions
- Casimir forces and high-Tc superconductors
- Generalized Crossover in Interacting Fermions within the Low-Energy Expansion
- Single-particle versus many-body phase coherence in an interacting Fermi gas
- Collisional dynamics of polaronic clouds immersed in a Fermi sea
- Feshbach hypothesis of high-Tc superconductivity in cuprates
- Single-Particle properties of a strongly-interacting Bose-Fermi mixture with mass and population imbalance
- Effective potential and quantum criticality for imbalanced Fermi mixtures
- Variational and Parquet-diagram theory for strongly correlated normal and superfluid systems
- Fourth- and fifth-order virial expansion of harmonically trapped fermions at unitarity
- Critical point and Bose-Einstein condensation in pion matter
- Polaronic Proton and Diproton Clustering in Neutron-Rich Matter
- Thermodynamic properties of interacting bosons with zero chemical potential
- Tripling Fluctuations and Peaked Sound Speed in Fermionic Matter
- Optical spin transport theory of spin-1/2 topological Fermi superfluids
- Emergent Fano-Feshbach resonance in two-band superconductors with an incipient quasi-flat band: Enhanced critical temperature evading particle-hole fluctuations
- Optimizing the proximity effect along the BCS-BEC crossover
- Proposed Fermi-surface reservoir-engineering and application to realizing unconventional Fermi superfluids in a driven-dissipative non-equilibrium Fermi gas
- Density correlation functions and the spatial structure of the two-dimensional BEC-BCS crossover
- Stability of the Fulde-Ferrell-Larkin-Ovchinnikov states in anisotropic systems and critical behavior at thermal -axial Lifshitz points
- BCS-BEC Crossover Effects and Pseudogap in Neutron Matter
- Application of renormalized RPA to polarized Fermi gases
- Nonequilibrium noise as a probe of pair-tunneling transport in the BCS--BEC Crossover
- Mean-Field Theory for Fermion Pairs and the ab initio Particle-Vibration-Coupling Approach
- Impact of Multiple Phase Transitions in Dense QCD on Compact Stars
- Nature of the mixed-parity pairing of attractive fermions with spin-orbit coupling in optical lattice
- Spatial structure of the pair wavefunction and the density correlation functions at the BEC-BCS crossover
- Spatial emergence of Off-Diagonal Long-Range Order throughout the BCS-BEC crossover
- Competition between pairing and tripling in one-dimensional fermions with coexistent s- and p-wave interactions
- Density-Induced Hadron-Quark Crossover via the Formation of Cooper Triples
- Light clusters in the liquid proto-neutron star inner crust
- Universal Density Shift Coefficients for the Thermal Conductivity and Shear Viscosity of a Unitary Fermi Gas
- Non-relativistic trace anomaly and equation of state in dense fermionic matter
- Low-Dimensional Fluctuations and Pseudogap in Gaudin-Yang Fermi Gases
- Low-momentum interactions for ultracold Fermi gases
- Domes of in single-band and multiband superconductors with finite-range attractive interactions
- Weakly-interacting Bose-Bose mixtures from the functional renormalisation group
- Brueckner -matrix approach to two-dimensional Fermi gases with the finite-range attractive interaction
- Normal modes for N identical particles: A study of the evolution of collective behavior from few-body to many-body
- Superfluid neutron matter with a twist
- Generalization of the Fermi Pseudopotential
- Phase diagram of interacting pion matter and isospin charge fluctuations
- Dynamical effects on superconductivity in BCS-BEC crossover
- Quantum Monte Carlo and perturbative study of two-dimensional Bose-Fermi mixtures
- Variational and parquet-diagram calculations for neutron matter. II. Twisted Chain Diagrams
- Bound states in a superfluid vortex: A detailed study along the BCS-BEC crossover
- Stable non-equilibrium Fulde-Ferrell-Larkin-Ovchinnikov state in a spin-imbalanced driven-dissipative Fermi gas loaded on a three-dimensional cubic optical lattice
- Non-Hermitian Ferromagnetism in an Ultracold Fermi Gas
- Coexistence of topological and nontopological Fermi-superfluid phases
- Collective excitations of a charged Fermi superfluid in the BCS-BEC crossover
- Boson-fermion pairing and condensation in two-dimensional Bose-Fermi mixtures
- Exploring Superfluid in Dilute Spin-Polarized Neutron Matter
- Spectral properties and observables in ultracold Fermi gases
- Strong-coupling effects of pairing fluctuations, and Anderson-Bogoliubov mode in neutron S superfluids in neutron stars
- Particle and pair spectra for strongly correlated Fermi gases: A real-frequency solver
- Cooper pairing and tripling in one-dimensional spinless fermions with attractive two- and three-body forces
- Exact results for the Casimir force of a three-dimensional model of relativistic Bose gas in a film geometry
- Spin-dipole mode in a trapped Fermi gas near unitarity
- Nambu-Covariant Many-Body Theory II: Self-Consistent Approximations
- Critical point influenced by Bose-Einstein condensation
- Tuning Dissipation and Excitations in Superfluid Fermi Gases with a Moving Impurity
- Scattering resonances and pairing in a Rabi-coupled Fermi gas
- Superfluid density reduction and spin-imbalanced pairing in a fermionic superfluid due to dynamical boson exchange
- Quartet correlations near the surface of nuclei
- Response functions of hot and dense matter in the Nambu-Jona-Lasino model
- BCS-BEC crossover of the strongly interacting Li-K mixture
- Dipole-Mode Spectrum and Hydrodynamic Crossover in a Resonantly Interacting Two-Species Fermion Mixture
- Hybrid-pair superfluidity in a strongly driven Fermi gas
- Impact of Disorder on the Superconducting Properties and BCS-BEC Crossover in FeSe Single Crystals
- The Gor'kov and Melik-Barkhudarov correction to an imbalanced Fermi gas in the presence of impurities
- Hidden Pseudogap and Excitation Spectra in a Strongly Coupled Two-Band Superfluid/Superconductor
- Cold atoms beyond atomic physics
- Peaks and widths of radio-frequency spectra: An analysis of the phase diagram of ultra-cold Fermi gases
- Possibility of BCS-BEC crossover in -type organic superconductors
- Hartree shift and pairing gap in ultracold Fermi gases in the framework of low-momentum interactions
- Optically trapped Feshbach molecules of fermionic Dy and K: Role of light-induced and collisional losses
- Quenched disorder and the BCS-BEC crossover in the Hubbard model
- Single Particle Spectroscopies of -wave and -wave Interacting Bose Gases in Normal Phase
- Schwinger-Keldysh approach to tunneling transport at a hadron-quark interface
- Hidden Bose-Einstein Singularities in Correlated Electron Systems: II. Pseudogap Phase in the Weakly Attractive Hubbard Model
- Atom-dimer and dimer-dimer scatterings in a spin-orbit coupled Fermi gas
- Finite-range effect in the two-dimensional density-induced BCS-BEC crossover
- The normal state of attractive Fermi gases from coupled-cluster theory
- Coupled oscillator model of a trapped Fermi gas at the BEC-BCS crossover
- Interaction-Range Effects and Universality in the BCS-BEC Crossover of Spin-Orbit Coupled Fermi Gases
- Inclusion of pairing fluctuations in a semiclassical approach: The case of study of the Josephson effect
- Temperature of the hot -source: a guidance to probe the Bose-Einstein condensation of clusters in the heavy-ion collision
- Recombination in the universal four-fermion system
- Strong Fulde-Ferrell Larkin-Ovchinnikov pairing fluctuations in polarized Fermi systems
- Interactions of the deuteron with a hadronic medium
- Miscibility-Immiscibility transition of strongly interacting bosonic mixtures in optical lattices
- Tunneling spectra of unconventional quasi-two-dimensional superconductors
- Energy Dynamics of a Nonequilibrium Unitary Fermi Gas
- Weighted Hartree-Fock-Bogoliubov method for interacting fermions: An application to ultracold Fermi superfluids
- Small amplitude collective modes of a finite-size unitary Fermi gas in deformed traps
- Reflections on future problems in cluster science
- Fulde-Ferrell superfluids in an asymmetric three-component Fermi Gas
- Bardeen-Cooper-Schrieffer--type pairing in a spin- Bose gas with spin-orbit coupling
- Quasiparticle disintegration in fermionic superfluids
- Quarkyonic matter and hadron-quark crossover from an ultracold atom perspective
- Correlation lengths of flat-band superconductivity from quantum geometry
- Two-band atomic superfluidity in the presence of an orbital Feshbach resonance
- Self-consistent inclusion of disorder in the BCS-BEC crossover near the critical temperature
- Mass-imbalance effect on the cluster formation in a one-dimensional Fermi gas with coexistent - and -wave interactions
- Beyond Random Phase Approximation in electron-hole bilayer superfluidity
- Bose-Einstein Condensation and Dissipative Dynamics in a Relativistic Pion Gas