Universal phase diagram of a strongly interacting Fermi gas with unbalanced spin populations

Abstract

We present a theoretical interpretation of a recent experiment presented in ref. \cite{Zwierlein06} on the density profile of Fermi gases with unbalanced spin populations. We show that in the regime of strong interaction, the boundaries of the three phases observed in \cite{Zwierlein06} can be characterized by two dimensionless numbers $\eta \_\alpha$ and $\eta \_\beta$. Using a combination of a variational treatment and a study of the experimental results, we infer rather precise bounds for these two parameters.

4 pages, 2 figures

References in corpus (13)

• Observation of Bose-Einstein Condensation of Molecules
• Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
• Molecular Probe of Pairing in the BEC-BCS Crossover
• Direct Observation of the Superfluid Phase Transition in Ultracold Fermi Gases
• Phase diagram of a cold polarized Fermi gas
• Mean field phase diagrams of imbalanced Fermi gases near a Feshbach resonance
• Induced P-wave Superfluidity in Asymmetric Fermi Gases
• Generic Phase Diagram of Fermion Superfluids with Population Imbalance
• Profiles of near-resonant population-imbalanced trapped Fermi gases
• Trapped fermions with density imbalance in the BEC limit
• Trapped Fermions across a Feshbach resonance with population imbalance
• Surface Tension in Unitary Fermi Gases with Population Imbalance
• Pairing of a trapped resonantly-interacting fermion mixture with unequal spin populations

Cited by in corpus (306)

• Theory of ultracold Fermi gases
• Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
• Exploring the Thermodynamics of a Universal Fermi Gas
• Observation of Attractive and Repulsive Polarons in a Bose-Einstein Condensate
• Polarons, Dressed Molecules, and Itinerant Ferromagnetism in ultracold Fermi gases
• Ultrafast many-body interferometry of impurities coupled to a Fermi sea
• Phase diagram of a two-component Fermi gas with resonant interactions
• Collective Oscillations of an Imbalanced Fermi Gas: Axial Compression Modes and Polaron Effective Mass
• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• BCS-BEC Crossover and the Unitary Fermi Gas
• Normal state of highly polarized Fermi gases: simple many-body approaches
• Repulsive Fermi polarons in a resonant mixture of ultracold ${}^6$Li atoms
• Field-theoretical study of the Bose polaron
• Imbalanced Feshbach-resonant Fermi gases
• Ultra-cold Polarized Fermi Gases
• Bose polarons near quantum criticality
• Quantum dynamics of ultracold Bose polarons
• Polaron to molecule transition in a strongly imbalanced Fermi gas
• Determination of the Superfluid Gap in Atomic Fermi Gases by Quasiparticle Spectroscopy
• Universal many-body response of heavy impurities coupled to a Fermi sea
• Phase separation in a polarized Fermi gas at zero temperature
• Normal state of highly polarized Fermi gases: Full many-body treatment
• Pairing without Superfluidity: The Ground State of an Imbalanced Fermi Mixture
• Excitation spectra and rf-response near the polaron-to-molecule transition from the functional renormalization group
• Polarons in the radio-frequency spectrum of a quasi-two-dimensional Fermi gas
• Variational study of polarons in Bose-Einstein condensates
• Boiling a Unitary Fermi Liquid
• Stability of a Fully Magnetized Ferromagnetic state in Repulsively Interacting Ultracold Fermi Gases
• Theory of RF-spectroscopy of strongly interacting Fermions
• Radio frequency spectroscopy of polarons in ultracold Bose gases
• Repulsive polarons and itinerant ferromagnetism in strongly polarized Fermi gases
• Universal Fermi gases in mixed dimensions
• Quench Dynamics and Orthogonality Catastrophe of Bose Polarons
• Fulde-Ferrell-Larkin-Ovchinnikov states in one-dimensional spin-polarized ultracold atomic Fermi gases
• Interacting Polaron-Polaritons
• Trimers, molecules and polarons in imbalanced atomic Fermi gases
• Strongly Interacting Isotopic Bose-Fermi Mixture Immersed in a Fermi Sea
• Fermi-Liquid Behavior of the Normal Phase of a Strongly Interacting Gas of Cold Atoms
• Realization of a strongly interacting Bose-Fermi mixture from a two-component Fermi gas
• Strong-coupling ansatz for the one-dimensional Fermi gas in a harmonic potential
• Polaron-molecule transitions in a two-dimensional Fermi gas
• Highly polarized Fermi gases in two dimensions
• Ground state of a tightly bound composite dimer immersed in a Fermi Sea
• Theory of exciton-electron scattering in atomically thin semiconductors
• Quantum flutter of supersonic particles in one-dimensional quantum liquids
• Bose polarons at finite temperature and strong coupling
• Imbalanced Fermi Gases at Unitarity
• Spin-Imbalanced Quasi-Two-Dimensional Fermi Gases
• Zero Temperature Thermodynamics of Asymmetric Fermi Gases at Unitarity
• Landau Effective Interaction between Quasiparticles in a Bose-Einstein Condensate
• Visualizing Efimov Correlations in the Bose Polaron
• Transition from a polaronic condensate to a degenerate Fermi gas of heteronuclear molecules
• Universality of an impurity in a Bose-Einstein condensate
• Electron-exciton interactions in the exciton-polaron problem
• Real-Time Dynamics of an Impurity in an Ideal Bose Gas in a Trap
• Observation of coherent multiorbital polarons in a two-dimensional Fermi gas
• Two impurities in a Bose-Einstein condensate: from Yukawa to Efimov attracted polarons
• Polarons and Molecules in a Two-Dimensional Fermi Gas
• Quasiparticle properties of an impurity in a Fermi gas
• Observation of a smooth polaron-molecule transition in a degenerate Fermi gas
• Polarons in Ultracold Fermi Superfluids
• Theory of excitation of Rydberg polarons in an atomic quantum gas
• Deformation of a quantum many-particle system by a rotating impurity
• Quantum dynamics of impurities coupled to a Fermi sea
• Decay of polarons and molecules in a strongly polarized Fermi gas
• Mediated interactions between Fermi polarons and the role of impurity quantum statistics
• Determination of the Equation of State of a Two-Component Fermi Gas at Unitarity
• Mobile impurity in a Bose-Einstein condensate and the orthogonality catastrophe
• Polaronic atom-trimer continuity in three-component Fermi gases
• Exciton-polaron interactions in monolayer WS${}_2$
• Quasiparticle lifetime of the repulsive Fermi polaron
• Stability and breakdown of Fermi polarons in a strongly interacting Fermi-Bose mixture
• Spin Transport in Polaronic and Superfluid Fermi Gases
• Trapped one-dimensional ideal Fermi gas with a single impurity
• Attractive Fermi polarons at nonzero temperature with finite impurityconcentration
• Exciton-polarons in doped semiconductors in a strong magnetic field
• Fate of the Bose polaron at finite temperature
• Repulsive polarons in two-dimensional Fermi gases
• Finite-temperature behavior of the Bose polaron
• Highly polarized Fermi gases: One-dimensional case
• Mean field thermodynamics of a spin-polarized spherically trapped Fermi gas at unitarity
• Variational approach for impurity dynamics at finite temperature
• Dark Continuum in the Spectral Function of the Resonant Fermi Polaron
• An impurity in a Fermi sea on a narrow Feshbach resonance: A variational study of the polaronic and dimeronic branches
• Phase structure of mass- and spin-imbalanced unitary Fermi gases
• A Many-Body Theory of the Optical Conductivity of Excitons and Trions in Two-Dimensional Materials
• The normal phase of an imbalanced Fermi gas
• Diagrammatic Monte Carlo study of the Fermi polaron in two dimensions
• Stability Condition of a Strongly Interacting Boson-Fermion Mixture across an Inter-Species Feshbach Resonance
• Metal-insulator transition and phase separation in doped AA-stacked graphene bilayers
• The equation of state of ultracold Bose and Fermi gases: a few examples
• Compressibility of an Ultracold Fermi Gas with Repulsive Interactions
• Quantum behavior of a heavy impurity strongly coupled to a Bose gas
• Feshbach resonances in $p$-wave three-body recombination within Fermi-Fermi mixtures of open-shell ${}^6$Li and closed-shell ${}^{173}$Yb atoms
• Phase Diagram of Cold Polarized Fermi Gas in Two Dimensions
• Autoionization and dressing of excited excitons by free carriers in monolayer WSe2
• Dynamics of an impurity in a one-dimensional lattice
• The role of interactions in spin-polarised atomic Fermi gases at unitarity
• Mass imbalance effect in resonant Bose-Fermi mixtures
• Quantum Dynamics of Attractive and Repulsive Polarons in a Doped MoSe${}_2$ Monolayer
• Mixed bubbles in Bose-Bose mixtures
• Many Fermi polarons at nonzero temperature
• Attractive and repulsive exciton-polariton interactions mediated by an electron gas
• Phase structure of spin-imbalanced unitary Fermi gases
• Polarons and dressed molecules near narrow Feshbach resonances
• Non-Hermitian Squeezed Polarons
• Dropping an impurity into a Chern insulator: a polaron view on topological matter
• Dynamical variational approach to Bose polarons at finite temperatures
• Energy and contact of the one-dimensional Fermi polaron at zero and finite temperature
• Theory of radio-frequency spectroscopy of impurities in quantum gases
• Finite-temperature equation of state of polarized fermions at unitarity
• Bose-Fermi dualities for arbitrary one-dimensional quantum systems in the universal low energy regime
• Transport of neutral optical excitations using electric fields
• Interaction Control of Ultracold Alkaline-Earth Atoms
• Diagrammatic Monte Carlo study of mass-imbalanced Fermi-polaron system
• From Efimov Physics to the Bose Polaron using Gaussian States
• Molecule and polaron in a highly polarized two-dimensional Fermi gas with spin-orbit coupling
• Heavy polarons in ultracold atomic Fermi superfluids at the BEC-BCS crossover: formalism and applications
• Thermal crossover, transition, and coexistence in Fermi polaronic spectroscopies
• Polaron Problems in Ultracold Atoms: Role of a Fermi Sea across Different Spatial Dimensions and Quantum Fluctuations of a Bose Medium
• Exact quasiparticle properties of a heavy polaron in BCS Fermi superfluids
• Ab initio lattice results for Fermi polarons in two dimensions
• Diagrammatic Monte Carlo study of quasi-two-dimensional Fermi-polarons
• Universal phase diagram and scaling functions of imbalanced Fermi gases
• Rydberg impurity in a Fermi gas: Quantum statistics and rotational blockade
• Electron recoil effect in electrically tunable MoSe2 monolayers
• Exciton-Trion-Polaritons in Two-Dimensional Materials
• Generalized Hartree-Fock-Bogoliubov Description of the Frohlich Polaron
• High-precision numerical solution of the Fermi polaron problem and large-order behavior of its diagrammatic series
• Universality of the unitary Fermi gas: A few-body perspective
• Anyonic statistics of quantum impurities in two dimensions
• Scattering of two heavy Fermi polarons: resonances and quasibound states
• The neutron polaron as a constraint on nuclear density functionals
• Tunable Feshbach resonances and their spectral signatures in bilayer semiconductors
• Few vs many-body physics of an impurity immersed in a superfluid of spin 1/2 attractive fermions
• Fermi polarons at finite temperature: Spectral function and rf-spectroscopy
• Polaron spectroscopy of a bilayer excitonic insulator
• Crossover polarons in a strongly interacting Fermi superfluid
• Spectroscopic probes of quantum many-body correlations in polariton microcavities
• Universal clusters as building blocks of stable quantum matter
• Polarons in Extremely Polarized Fermi Gases: The Strongly Interacting 6Li-40K Mixture
• Efimov three-body states on top of a Fermi sea
• Breakdown of the Fermi polaron description near Fermi degeneracy at unitarity
• The p-wave polaron
• Three-component Ultracold Fermi Gases with Spin-Orbit Coupling
• Fermi polaron revisited: polaron-molecule transition and coexistence
• Zero temperature momentum distribution of an impurity in a polaron state of one-dimensional Fermi and Tonks-Girardeau gases
• Imaginary polarization as a way to surmount the sign problem in ab initio calculations of spin-imbalanced Fermi gases
• Dissipative dynamics of a driven quantum spin coupled to a bath of ultracold fermions
• Hartree shift in unitary Fermi gases
• Dynamics of relaxation and dressing of a quenched Bose polaron
• Pairing instabilities in quasi-two-dimensional Fermi gases
• Mesoscopic spin transport between strongly interacting Fermi gases
• Interactions mediated by atoms, photons, electrons, and excitons
• Theory of the Normal/Superfluid interface in population imbalanced Fermi gases
• High-polarization limit of the quasi-two-dimensional Fermi gas
• FCI-QMC approach to the Fermi polaron
• Highly Polarized Fermi Gases across a Narrow Feshbach Resonance
• Emergence of a sharp quantum collective mode in a one-dimensional Fermi polaron
• Quasiparticle properties of a single alpha particle in cold neutron matter
• Finite-size and confinement effects in spin-polarized trapped Fermi gases
• Radio-frequency response and contact of impurities in a quantum gas
• Quantum-Zeno Fermi polaron in the strong dissipation limit
• Topological transport of mobile impurities
• Thermodynamic signatures of the polaron-molecule transition in a Fermi gas
• Finite-range effects in the unitary Fermi polaron
• Strongly correlated exciton-polarons in twisted homo-bilayer heterostructures
• Density profiles of polarized Fermi gases confined in harmonic traps
• Anomalous Dimers in Quantum Mixtures near Broad Resonances: Pauli Blocking, Fermi Surface Dynamics and Implications
• Fermi polaron in a one-dimensional quasi-periodic optical lattice: the simplest many-body localization challenge
• Hartree-Fock treatment of Fermi polarons using the Lee-Low-Pine transformation
• Self-localization of a small number of Bose particles in a superfluid Fermi system
• Nature of polaron-molecule transition in Fermi polarons
• Bose polaron in spherical trap potentials: Spatial structure and quantum depletion
• Induced p-wave superfluidity in strongly interacting imbalanced Fermi gases
• One-dimensional Fermi polaron in a combined harmonic and periodic potential
• Phase diagram for strong-coupling Bose polarons
• Bose-Fermi Pairs in a Mixture and the Luttinger Theorem within a Nozieres-Schmitt-Rink like Approach
• The Structure and Dispersion of Exciton-Trion-Polaritons in Two-Dimensional Materials: Experiments and Theory
• s-Wave Scattering Resonances Induced by Dipolar Interactions of Polar Molecules
• Crossover from exciton polarons to trions in doped two-dimensional semiconductors at finite temperature
• Effect of fermion indistinguishability on optical absorption of doped two-dimensional semiconductors
• Roton-induced Bose polaron in the presence of synthetic spin-orbit coupling
• Polaron-like effects in a one-dimensional optical lattice
• Momentum-resolved spectroscopy of a Fermi liquid
• Interaction induced AC-Stark shift of exciton-polaron resonances
• Intersections of ultracold atomic polarons and nuclear clusters: How is a chart of nuclides modified in dilute neutron matter?
• Interaction beween polarons and analogous effects in polarized Fermi gases
• BEC-Polaron gas in a boson-fermion mixture : a many-body extension of Lee-Low-Pines theory
• BEC polaron in harmonic trap potential at weak coupling regime: Lee-Low-Pines type approach
• Binding two and three $\alpha$ particles in cold neutron matter
• Polaron spectroscopy of interacting Fermi systems: insights from exact diagonalization
• Superconductivity induced by strong electron-exciton coupling in doped atomically thin semiconductor heterostructures
• The Trapped Polarized Fermi Gas at Unitarity
• Variational approaches to quantum impurities: from the Fröhlich polaron to the angulon
• Phases of spin- and mass-imbalanced ultracold Fermi gases in harmonic traps
• Two-dimensional coherent spectroscopy of trion-polaritons and exciton-polaritons in atomically thin transition metal dichalcogenides
• Emergence of Crystalline Few-body Correlations in Mass-imbalanced Fermi Polarons
• Unitary polarized Fermi gas under adiabatic rotation
• Spin Susceptibility Above the Superfluid Onset in Ultracold Fermi Gases
• Formation of magnetic impurities and pair-breaking effect in a superfluid Fermi gas
• Polaron in a $p+ip$ Fermi topological superfluid
• Rotons in Optical Excitation Spectra of Monolayer Semiconductors
• Dimensional Crossover in a Spin-imbalanced Fermi gas
• The ground state of polaron in an ultracold dipolar Fermi gas
• Atomtronics with a spin: statistics of spin transport and non-equilibrium orthogonality catastrophe in cold quantum gases
• Fermi polaron in low-density spin-polarized neutron matter
• Multidimensional Spectroscopy of Time-Dependent Impurities in Ultracold Fermions
• Intermolecular forces and correlations mediated by a phonon bath
• Spectral Theory of the Fermi Polaron
• Polaritons in an electron gas -- quasiparticles and Landau effective interactions
• An impurity immersed in a double Fermi Sea
• Application of lasers to ultracold atoms and molecules
• A smooth polaron-molecule crossover in a Fermi system
• Chiral polaron formation on the edge of topological quantum matter
• Rabi oscillations and magnetization of a mobile spin-1/2 impurity in a Fermi sea
• Mobile impurity near the superfluid-Mott insulator quantum critical point in two dimensions
• Exact Quantum Virial Expansion for the Optical Response of Doped Two-Dimensional Semiconductors
• Thermally stable p-wave repulsive Fermi polaron without a two-body bound state
• Polaron spectra and edge singularities for correlated flat bands
• Mobile impurity in a one-dimensional gas at finite temperatures
• Collisional dynamics of polaronic clouds immersed in a Fermi sea
• The self-energy of an impurity in an ideal Fermi gas to second order in the interaction strength
• Two-dimensional polaron spectroscopy of Fermi superfluids
• A mixed dimensional Bose polaron
• Mobile magnetic impurities in a Fermi superfluid: a route to designer molecules
• The impurity problem in a bilayer system of dipoles
• Quench-induced delocalization
• Quasiparticle lifetime in ultracold fermionic mixtures with density and mass imbalance
• Condensation Energy of a Spin-1/2 Strongly Interacting Fermi Gas
• Energy, decay rate, and effective masses for a moving polaron in a Fermi sea: Explicit results in the weakly attractive limit
• Theory of the spectral function of Fermi polarons at finite temperature
• Spectral functions of the strongly interacting 3D Fermi gas
• Raman spectroscopy of Fermi polarons
• Polaronic Proton and Diproton Clustering in Neutron-Rich Matter
• Quasiparticle scattering rate in a strongly polarised Fermi mixture
• A Non-Gaussian Variational Approach to Fermi Polarons in One- and Two-dimensional Lattices
• Interaction-induced localization of mobile impurities in ultracold systems
• Longitudinal-transverse splitting and fine structure of Fermi polarons in two-dimensional semiconductors
• Highly polarized one-dimensional Fermi gases near a narrow $p-$wave resonance
• Electronic properties and polaronic dynamics of semi-Dirac system within ladder approximation
• Superdiffusive nonequilibrium motion of an impurity in a Fermi sea
• Exact calculation of spectral properties of a particle interacting with a one-dimensional Fermi gas in optical lattices
• Polaron in a non-abelian Aubry-André-Harper model with \textit{p}-wave superfluidity
• BCS-BEC Crossover in Mix-dimensional Fermi Gases
• Mean-field vs RPA calculation of the energy of an impurity immersed in a spin 1/2 superfluid
• Transport of Spin and Mass at Normal-Superfluid Interfaces in the Unitary Fermi Gas
• Fermi spin polaron and dissipative Fermi-polaron Rabi dynamics
• Competing few-body correlations in ultracold Fermi polarons
• Spectra of heavy polarons and molecules coupled to a Fermi sea
• Fermi polaron in atom-ion hybrid systems
• Universal quantum dynamics of Bose polarons
• Bosonic Functional Determinant Approach and its Application to Polaron Spectra
• Domain-Wall Ferroelectric Polarons in a two-dimensional Rotor Lattice Model
• Excitonic states of an impurity in a Fermi gas
• Attractive polaron formed in doped nonchiral/chiral parabolic system within ladder approximation
• Bose polaron in spherically symmetric trap potentials: Ground states with zero and lower angular momenta
• Particle zoo in a doped spin chain: Correlated states of mesons and magnons
• Metastability in spin polarised Fermi gases and quasiparticle decays
• Spin oscillations of the normal polarized Fermi gas at Unitarity
• Exploring ${}^3{P}_0$ Superfluid in Dilute Spin-Polarized Neutron Matter
• Induced superfluidity of imbalanced Fermi gases near unitarity
• Momentum-dependent quasiparticle properties of the Fermi polaron from the functional renormalization group
• Decoherence and momentum relaxation in Fermi-polaron Rabi dynamics: a kinetic equation approach
• Mass-gap description of heavy impurities in Fermi gases
• Observation of Magnon-Polarons in the Fermi-Hubbard Model
• Impurity with a resonance in the vicinity of the Fermi energy
• Emergent Mott-insulators at non-integer fillings and devil's staircase induced by attractive interaction in many-body polarons
• A full view on the dynamics of an impurity coupled to two one-dimensional fermionic baths
• Thermodynamics of Trapped Imbalanced Fermi Gases at Unitarity
• Collective modes of an imbalanced unitary Fermi gas
• Critical Zeeman Splitting of a Unitary Fermi Superfluid
• Ground states of atomic Fermi gases in a two-dimensional optical lattice with and without population imbalance
• Equation of State and Phases of Polarized Unitary Fermi Gas
• Probing polaron clouds by Rydberg atom spectroscopy
• Self-stabilized Bose polarons
• A Composite Fermion Approach to the Ultracold Dilute Fermi Gas
• Dynamical symmetry and pair tunneling in a one-dimensional Bose gas colliding with a mobile impurity
• Fermi polaron in a dissipative bath with spin-orbit coupling
• On the Weakness of Short-Range Interactions in Fermi Gases
• Spectral function of Fermi polarons at finite temperature from a self-consistent many-body $T$-matrix approach in real frequency
• Microscopic many-body theory of two-dimensional coherent spectroscopy of excitons and trions in atomically thin transition metal dichalcogenides
• Purely electronic model for exciton-polaron formation in moiré heterostructures
• Tunable breakdown of the polaron picture for mobile impurities in a topological semimetal
• Superfluid-Normal Quantum Phase Transitions in an Imbalanced Fermi Gas
• Exact spectral properties of Fermi polarons in one-dimensional lattices: Anomalous Fermi singularities and polaron quasiparticles
• Linear rotor in an ideal Bose gas near the threshold for binding
• Thermodynamic Properties of Universal Fermi Gases
• The Gor'kov and Melik-Barkhudarov correction to an imbalanced Fermi gas in the presence of impurities
• Repulsive Fermi and Bose Polarons in Quantum Gases
• Leading Order $k_{F}a$ Corrections to the Free Energy and Phase Separation in Two-component Fermion Systems
• Super Fermi polaron and Nagaoka ferromagnetism in a two-dimesnional square lattice
• Anyon-trions in atomically thin semiconductor heterostructures
• High Density Limit of the Fermi Polaron with Infinite Mass
• The normal state of attractive Fermi gases from coupled-cluster theory
• Multiple polaron quasiparticles with dipolar fermions in a bilayer geometry
• Functional-renormalization-group approach to strongly coupled Bose-Fermi mixtures in two dimensions
• Terahertz radiation induced attractive-repulsive Fermi polaron conversion in transition metal dichalcogenide monolayers
• Non-universal Fermi polaron in quasi two-dimensional quantum gases
• Efficient variational approach to the Fermi polaron problem in two dimensions, both in and out of equilibrium
• Attractive and repulsive angulons in superfluid environments
• Exploring beyond-mean-field logarithmic divergences in Fermi-polaron energy
• Quantum Computing Demonstration of the Polaron-Molecule Transition on a NISQ Device
• Bose Polaron in a quantum fluid of light
• Weak coupling limit for the ground state energy of the 2D Fermi polaron
• Complex-valued in-medium potential between heavy impurities in ultracold atoms