Finite-temperature equation of state of polarized fermions at unitarity

Abstract

We study in a nonperturbative fashion the thermodynamics of a unitary Fermi gas over a wide range of temperatures and spin polarizations. To this end, we use the complex Langevin method, a first principles approach for strongly coupled systems. Specifically, we show results for the density equation of state, the magnetization, and the magnetic susceptibility. At zero polarization, our results agree well with state-of-the art results for the density equation of state and with experimental data. At finite polarization and low fugacity, our results are in excellent agreement with the third-order virial expansion. In the fully quantum mechanical regime close to the balanced limit, the critical temperature for superfluidity appears to depend only weakly on the spin polarization.

arXiv comment10 pages, 9 figures, including supplemental material, published version

References in corpus (100)

• Many-Body Physics with Ultracold Gases
• Feshbach Resonances in Ultracold Gases
• Theory of ultracold Fermi gases
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Observation of a Strongly-Interacting Degenerate Fermi Gas of Atoms
• Pairing and Phase Separation in a Polarized Fermi Gas
• Fermionic Superfluidity with Imbalanced Spin Populations and the Quantum Phase Transition to the Normal State
• BCS-BEC Crossover: From High Temperature Superconductors to Ultracold Superfluids
• A New Expansion for Nucleon-Nucleon Interactions
• Revealing the Superfluid Lambda Transition in the Universal Thermodynamics of a Unitary Fermi Gas
• Inhomogeneous Superconductivity in Condensed Matter and QCD
• Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
• Collective excitations of a degenerate gas at the BEC-BCS crossover
• Exploring the Thermodynamics of a Universal Fermi Gas
• Solutions of the Two Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms
• Universal Thermodynamics of Degenerate Quantum Gases in the Unitarity Limit
• Nearly Perfect Fluidity: From Cold Atomic Gases to Hot Quark Gluon Plasmas
• Observation of Phase Separation in a Strongly-Interacting Imbalanced Fermi Gas
• Universal phase diagram of a strongly interacting Fermi gas with unbalanced spin populations
• Nonrelativistic conformal field theories
• High density QCD on a Lefschetz thimble?
• Universal Quantum Viscosity in a Unitary Fermi Gas
• Direct Observation of the Superfluid Phase Transition in Ultracold Fermi Gases
• 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
• Fermi-Polaron: Diagrammatic Monte Carlo for Divergent Sign-Alternating Series
• Universal Spin Transport in a Strongly Interacting Fermi Gas
• Phase separation in asymmetrical fermion superfluids
• Symmetry Parameter Constraints From A Lower Bound On The Neutron-Matter Energy
• Lattice simulations for few- and many-body systems
• Spin 1/2 Fermions in the Unitary Regime: A Superfluid of a New Type
• Normal state of a polarized Fermi gas at unitarity
• Deformation of a Trapped Fermi Gas with Unequal Spin Populations
• The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
• Critical Temperature and Thermodynamics of Attractive Fermions at Unitarity
• The Complex Langevin method: When can it be trusted?
• Homogeneous Atomic Fermi Gases
• Precision Measurements of Collective Oscillations in the BEC-BCS Crossover
• Feynman diagrams versus Fermi-gas Feynman emulator
• Complex Langevin: Etiology and Diagnostics of its Main Problem
• Ultra-cold Polarized Fermi Gases
• Pseudogap and spectral function from superconducting fluctuations to the bosonic limit
• Phase separation in a polarized Fermi gas at zero temperature
• Normal state of highly polarized Fermi gases: Full many-body treatment
• Quantum Monte Carlo Simulations of the BCS-BEC Crossover at Finite Temperature
• Monte Carlo simulations on the Lefschetz thimble: taming the sign problem
• Resonant Fermi gases with a large effective range
• Hybrid Monte Carlo on Lefschetz Thimbles -- A study of the residual sign problem
• The QCD equation of state from the lattice
• Measurement of the Entropy and Critical Temperature of a Strongly Interacting Fermi Gas
• Approaches to the sign problem in lattice field theory
• The argument for justification of the complex Langevin method and the condition for correct convergence
• The Fulde-Ferrell-Larkin-Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review
• Phase diagram of a cold polarized Fermi gas
• Conformal Invariance for Non-Relativistic Field Theory
• Virial expansion for a strongly correlated Fermi system and its application to ultracold atomic Fermi gases
• Profiles of near-resonant population-imbalanced trapped Fermi gases
• Observation of Anomalous Spin Segregation in a Trapped Fermi Gas
• Fermi-Liquid Behavior of the Normal Phase of a Strongly Interacting Gas of Cold Atoms
• Lattice effective field theory calculations for A = 3,4,6,12 nuclei
• The Finite Temperature Pairing Gap of a Unitary Fermi Gas by Quantum Monte Carlo Calculations
• Imbalanced Fermi Gases at Unitarity
• Some remarks on Lefschetz thimbles and complex Langevin dynamics
• Zero Temperature Thermodynamics of Asymmetric Fermi Gases at Unitarity
• Pairing of a trapped resonantly-interacting fermion mixture with unequal spin populations
• Complex Langevin dynamics and zeroes of the fermion determinant
• Momentum Distribution and Contact of the Unitary Fermi gas
• Phase-slip induced dissipation in an atomic Bose-Hubbard system
• Renormalization Group Theory for the Imbalanced Fermi Gas
• Thermodynamics of balanced and slightly spin-imbalanced Fermi gases at unitarity
• Onset of a Pseudogap Regime in Ultracold Fermi Gases
• Spin Drag and Spin-Charge Separation in Cold Fermi Gases
• Collisional Properties of a Polarized Fermi Gas with Resonant Interactions
• Lattice methods for strongly interacting many-body systems
• Lattice Monte Carlo calculations for unitary fermions in a finite box
• 1D to 3D Crossover of a Spin-Imbalanced Fermi Gas
• Cooper pairing above the critical temperature in a unitary Fermi gas
• Spin Transport in Polaronic and Superfluid Fermi Gases
• Phase structure of mass- and spin-imbalanced unitary Fermi gases
• Quantum critical transport in the unitary Fermi gas
• Complex Langevin Simulation of a Random Matrix Model at Nonzero Chemical Potential
• The role of interactions in spin-polarised atomic Fermi gases at unitarity
• Spin drag in an ultracold Fermi gas on the verge of a ferromagnetic instability
• Phase structure of spin-imbalanced unitary Fermi gases
• The Equation of State of the Unitary Fermi Gas: An Update on Lattice Calculations
• Surmounting the sign problem in non-relativistic calculations: a case study with mass-imbalanced fermions
• Third-order perturbative lattice and complex Langevin analyses of the finite-temperature equation of state of non-relativistic fermions in one dimension
• Phase Diagram of a Strongly Interacting Spin-Imbalanced Fermi Gas
• Evaporative depolarization and spin transport in a unitary trapped Fermi gas
• Path integral Monte Carlo determination of the fourth-order virial coefficient for unitary two-component Fermi gas with zero-range interactions
• Metastability in Spin-Polarized Fermi Gases
• Towards a gravity dual of the unitary Fermi gas
• Chandrasekhar-Clogston limit and phase separation in Fermi mixtures at Unitarity
• Polarized fermions in one dimension: density and polarization from complex Langevin calculations, perturbation theory, and the virial expansion
• Numerical study of the unitary Fermi gas across the superfluid transition
• Improved lattice operators for non-relativistic fermions
• Condensation Energy of a Spin-1/2 Strongly Interacting Fermi Gas
• A complex Langevin approach to ultracold fermions
• Advances in non-relativistic matter via complex Langevin approaches
• Equation of state of non-relativistic matter from automated perturbation theory and complex Langevin

Cited by in corpus (24)

• Complex Langevin and other approaches to the sign problem in quantum many-body physics
• Lefschetz thimbles decomposition for the Hubbard model on the hexagonal lattice
• Complex Langevin simulations and the QCD phase diagram: Recent developments
• Superfluid signatures in a dissipative quantum point contact
• Path integral contour deformations for noisy observables
• Pairing and the spin susceptibility of the polarized unitary Fermi gas in the normal phase
• Thermodynamics of spin-orbit coupled bosons in two dimensions from complex Langevin
• Eliminating the wave function singularity for ultracold atoms by similarity transformation
• The fourth- and fifth-order virial coefficients from weak-coupling to unitarity
• Pairing patterns in one-dimensional spin- and mass-imbalanced Fermi gases
• Virial coefficients of 1D and 2D Fermi gases by stochastic methods and a semiclassical lattice approximation
• The virial expansion of attractively interacting Fermi gases in 1D, 2D, and 3D, up to fifth order
• 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
• Few-body physics on a space-time lattice in the worldline approach
• Pairing patterns in polarized unitary Fermi gases above the superfluid transition
• Complex Langevin approach to interacting Bose gases
• Complex Langevin study for polarons in an attractively interacting one-dimensional two-component Fermi gas
• Irreversible entropy transport enhanced by fermionic superfluidity
• Real-time correlators in 3+1D thermal lattice gauge theory
• Spectral properties and observables in ultracold Fermi gases
• Nonrelativistic fermions with holographic interactions and the unitary Fermi gas
• Simulating the Berezinskii-Kosterlitz-Thouless Transition with Complex Langevin
• A lattice pairing-field approach to ultracold Fermi gases
• Strong Fulde-Ferrell Larkin-Ovchinnikov pairing fluctuations in polarized Fermi systems