Exact Numerical Results on the Ground State of Strongly Interacting Fermi Gases in Two Dimensions

Abstract

Exact calculations are performed on the two-dimensional strongly interacting, unpolarized, uniform Fermi gas with a zero-range attractive interaction. Two auxiliary-field approaches are employed which accelerate the sampling of imaginary-time paths using BCS trial wave functions and a force bias technique. Their combination enables calculations on large enough lattices to reliably compute ground-state properties in the thermodynamic limit. A new equation of state is obtained, with a parametrization provided, which can serve as a benchmark and allow accurate comparisons with experiments. The pressure, contact parameter, and condensate fraction are determined systematically vs.~$k_{F}a$. The momentum distribution, pairing correlation, and the structure of the pair wave function are computed. The use of force bias to accelerate the Metropolis sampling of auxiliary-fields in determinantal approaches is discussed.

8 pages, 5 figures

References in corpus (13)

• Many-Body Physics with Ultracold Gases
• Theory of ultracold Fermi gases
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Observation of a two-dimensional Fermi gas of atoms
• Measurement of the Homogeneous Contact of a Unitary Fermi gas
• Thermodynamic Measurements in a Strongly Interacting Fermi Gas
• Momentum Distribution and Contact of the Unitary Fermi gas
• Superfluidity at the BEC-BCS crossover in two-dimensional Fermi gases with population and mass imbalance
• Berezinskii-Kosterlitz-Thouless transition in trapped quasi-two-dimensional Fermi gas near a Feshbach resonance
• BCS-BEC Crossover of a Quasi-two-dimensional Fermi Gas: the Significance of Dressed Molecules
• Imbalanced Fermi superfluid in a one-dimensional optical potential
• Ground-state energy of the unitary Fermi gas from the epsilon expansion
• Interaction energy and itinerant ferromagnetism in a strongly interacting Fermi gas in the absence of molecule formation

Cited by in corpus (83)

• Ab initio computations of molecular systems by the auxiliary-field quantum Monte Carlo method
• Equation of State of Ultracold Fermions in the 2D BEC-BCS Crossover Region
• Benchmark study of the two-dimensional Hubbard model with auxiliary-field quantum Monte Carlo method
• Some Recent Developments in Auxiliary-Field Quantum Monte Carlo for Real Materials
• Observation of quantum-limited spin transport in strongly interacting two-dimensional Fermi gases
• Variational Benchmarks for Quantum Many-Body Problems
• Quantum anomaly and 2D-3D crossover in strongly interacting Fermi gases
• Sound propagation and quantum limited damping in a two-dimensional Fermi gas
• Computation of dynamical correlation functions for many fermion systems with auxiliary-field quantum Monte Carlo
• Observation of superfluidity in a strongly correlated two-dimensional Fermi gas
• Quantum scale anomaly and spatial coherence in a 2D Fermi superfluid
• Finite-temperature quantum fluctuations in two-dimensional Fermi superfluids
• Cluster size convergence of the density matrix embedding theory and its dynamical cluster formulation: a study with an auxiliary-field quantum Monte Carlo solver
• Diffusion Monte Carlo study of strongly interacting two-dimensional Fermi gases
• A neutral-atom Hubbard quantum simulator in the cryogenic regime
• Quantum anomaly and thermodynamics of one-dimensional fermions with three-body interactions
• Reduced quantum anomaly in a quasi-2D Fermi superfluid: The significance of the confinement-induced effective range of interactions
• Fermi-to-Bose crossover in a trapped quasi-2D gas of fermionic atoms
• Superfluid density and critical velocity near the fermionic Berezinskii-Kosterlitz-Thouless transition
• Many-body computations by stochastic sampling in Hartree-Fock-Bogoliubov space
• Ultracold atoms in a square lattice with spin-orbit coupling: Charge order, superfluidity, and topological signatures
• Fermi Gases in the Two-Dimensional to Quasi-Two-Dimensional Crossover
• Comparison of strong-coupling theories for a two-dimensional Fermi gas
• Reaching the continuum limit in finite-temperature ab initio field-theory computations in many-fermion systems
• Ground state of the two-dimensional attractive Fermi gas: essential properties from few- to many-body
• Visualizing the BEC-BCS crossover in the two-dimensional Fermi gas: pairing gaps and dynamical response functions from ab initio computations
• Rashba spin-orbit coupling, strong interactions, and the BCS-BEC crossover in the ground state of the two-dimensional Fermi Gas
• Measuring pair correlations in Bose and Fermi gases via atom-resolved microscopy
• Auxiliary Field Quantum Monte Carlo for Multiband Hubbard Models: Controlling the Sign and Phase Problems to Capture Hund's Physics
• Clustering of Four-Component Unitary Fermions
• Dynamical structure factors of a two-dimensional Fermi superfluid within random phase approximation
• Andreev reflection spectroscopy in strongly paired superconductors
• Core structure of two-dimensional Fermi gas vortices in the BEC-BCS crossover region
• Effective-range dependence of two-dimensional Fermi gases
• Pseudopotential for the 2D contact interaction
• Precision Many-Body Study of the Berezinskii-Kosterlitz-Thouless Transition and Temperature-Dependent Properties in the Two-Dimensional Fermi Gas
• Pressure profiles of nonuniform two-dimensional atomic Fermi gases
• Fermi-Fermi crossover in the ground state of 1D few-body systems with anomalous three-body interactions
• Calculating ground state properties of correlated fermionic systems with BCS trial wave functions in Slater determinant path-integral approaches
• Quantum Monte Carlo simulations of two-dimensional repulsive Fermi gases with population imbalance
• Dimensional crossover in a strongly interacting ultracold atomic Fermi gas
• Few-body perspective of a quantum anomaly in two-dimensional Fermi gases
• Effective theory for ultracold strongly interacting fermionic atoms in two dimensions
• Thermodynamics and static response of anomalous 1D fermions via quantum Monte Carlo in the worldline representation
• Effects of quantum fluctuations on the low-energy collective modes of two-dimensional superfluid Fermi gases from the BCS to the Bose Limit
• Chiral twodimensional p-wave superfluid from s-wave pairing in the BEC regime
• Numerical results on the short-range spin correlation functions in the ground state of the two-dimensional Hubbard model
• Interfacing branching random walks with Metropolis sampling: constraint release in auxiliary-field quantum Monte Carlo
• A Quantum Field-Theoretical Perspective on Scale Anomalies in 1D systems with Three-Body Interactions
• Accurate computations of Rashba spin-orbit coupling in interacting systems: from the Fermi gas to real materials
• Equation of state and Kosterlitz-Thouless transition temperature in two-dimensional Fermi gases: An analytical approach
• Harmonically trapped fermions in two dimensions: ground-state energy and contact of SU(2) and SU(4) systems via nonuniform lattice Monte Carlo
• Fermions in Two Dimensions: Scattering and Many-Body Properties
• Thermodynamic equivalence of two-dimensional imperfect attractive Fermi and repulsive Bose gases
• Beyond Gaussian pair fluctuation theory for strongly interacting Fermi gases
• Dynamical structure factor of a fermionic supersolid on an optical lattice
• Pairing in two-dimensional Fermi gases with a coordinate-space potential
• A numerically exact study of Weyl superconductivity
• Automatic Order Detection and Restoration Through Systematically Improvable Variational Wave Functions
• Role of the confinement-induced effective range on the thermodynamics of a strongly correlated Fermi gas in two dimensions
• Dimensional crossover in ultracold Fermi gases from Functional Renormalisation
• Superfluidity and pairing phenomena in ultracold atomic Fermi gases in one-dimensional optical lattices, Part I: Balanced case
• Strong pairing in two dimensions: Pseudogaps, domes, and other implications
• Response functions for the two-dimensional ultracold Fermi gas: dynamical BCS theory and beyond
• Numerical continuum tensor networks in two dimensions
• Path Integral Monte Carlo study of particles obeying quantum mechanics and classical statistics
• Diffusion Monte Carlo study of a spin-imbalanced two-dimensional Fermi gas with attractive interactions
• Observing Spatial Charge and Spin Correlations in a Strongly-Interacting Fermi Gas
• Toward precision Fermi liquid theory in two dimensions
• Density Matrix Embedding Theory and Strongly Correlated Lattice Systems
• Hybridization of the amplitude mode in a confined fermionic superfluid
• Spectrum of density, spin and pairing fluctuations of an attractive two-dimensional Fermi gas
• Accelerating ground-state auxiliary-field quantum Monte Carlo simulations by delayed update and block force-bias update
• Dynamical BCS theory of a two-dimensional attractive Fermi gas: effective interactions from Quantum Monte Carlo calculations
• When does a Fermi puddle become a Fermi sea? Emergence of pairing in two-dimensional trapped mesoscopic Fermi gases
• First and second sound in two-dimensional bosonic and fermionic superfluids
• Precision thermodynamics of the strongly interacting Fermi gas in two dimensions
• Addressing the Infinite Variance Problem in Fermionic Monte Carlo Simulations: Retrospective Error Remediation and the Exact Bridge Link Method
• The normal state of attractive Fermi gases from coupled-cluster theory
• Quantum Monte Carlo study of the metal-insulator crossover in the square-lattice Hubbard model
• Ab initio study of the neutron and Fermi polarons on the lattice
• Temporal fluctuation induced order in conventional superconductors
• BCS-BEC crossover in a quasi-two-dimensional Fermi superfluid