Fermi-Polaron: Diagrammatic Monte Carlo for Divergent Sign-Alternating Series

Abstract

Diagrammatic Monte Carlo approach is applied to a problem of a single spin-down fermion resonantly interacting with the sea of ideal spin-up fermions. On one hand, we develop a generic, sign-problem tolerant, method of exact numerical solution of polaron-type models. On the other hand, our solution is important for understanding the phase diagram and properties of the BCS-BEC crossover in the strongly imbalanced regime. This is the first, and possibly characteristic, example of how the Monte Carlo approach can be applied to a divergent sign-alternating diagrammatic series.

4 pages, 7 figures

References in corpus (3)

• Normal state of a polarized Fermi gas at unitarity
• Zero Temperature Thermodynamics of Asymmetric Fermi Gases at Unitarity
• Fermi surfaces and Luttinger's theorem in paired fermion systems

Cited by in corpus (138)

• Theory of ultracold Fermi gases
• Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
• Attractive and repulsive Fermi polarons in two dimensions
• The Equation of State of a Low-Temperature Fermi Gas with Tunable Interactions
• Repulsive Fermi polarons in a resonant mixture of ultracold ${}^6$Li atoms
• Ultra-cold Polarized Fermi Gases
• Determination of the Superfluid Gap in Atomic Fermi Gases by Quasiparticle Spectroscopy
• Normal state of highly polarized Fermi gases: Full many-body treatment
• Excitation spectra and rf-response near the polaron-to-molecule transition from the functional renormalization group
• Non-existence of the Luttinger-Ward functional and misleading convergence of skeleton diagrammatic series for Hubbard-like models
• Polarons from first principles, without supercells
• A Unitary Fermi Supersolid: The Larkin-Ovchinnikov Phase
• Trimers, molecules and polarons in imbalanced atomic Fermi gases
• Realization of a strongly interacting Bose-Fermi mixture from a two-component Fermi gas
• Breakdown of Fermi liquid description for strongly interacting fermions
• 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
• Numerical analytic continuation: Answers to well-posed questions
• Quantum Monte-Carlo for correlated out-of-equilibrium nanoelectronics devices
• Transition from a polaronic condensate to a degenerate Fermi gas of heteronuclear molecules
• Observation of coherent multiorbital polarons in a two-dimensional Fermi gas
• The Bose polaron problem: effect of mass imbalance on binding energy
• Polarons and Molecules in a Two-Dimensional Fermi Gas
• Inchworm Monte Carlo for exact non-adiabatic dynamics II. Benchmarks and comparison with established methods
• Decay of polarons and molecules in a strongly polarized Fermi gas
• Determination of the Equation of State of a Two-Component Fermi Gas at Unitarity
• Mediated interactions between Fermi polarons and the role of impurity quantum statistics
• Mobile impurity in a Bose-Einstein condensate and the orthogonality catastrophe
• Collisional Properties of a Polarized Fermi Gas with Resonant Interactions
• Polaronic atom-trimer continuity in three-component Fermi gases
• Quasiparticle lifetime of the repulsive Fermi polaron
• Stability and breakdown of Fermi polarons in a strongly interacting Fermi-Bose mixture
• Highly polarized Fermi gases: One-dimensional case
• Fate of the Bose polaron at finite temperature
• Finite-temperature behavior of the Bose polaron
• Phase structure of mass- and spin-imbalanced unitary Fermi gases
• Attenuating the fermion sign problem in path integral Monte Carlo simulations using the Bogoliubov inequality and thermodynamic integration
• The normal phase of an imbalanced Fermi gas
• The role of interactions in spin-polarised atomic Fermi gases at unitarity
• Dual Boson Diagrammatic Monte Carlo Approach Applied to the Extended Hubbard Model
• Mixed bubbles in Bose-Bose mixtures
• Phase structure of spin-imbalanced unitary Fermi gases
• Polaronic slowing of fermionic impurities in lattice Bose-Fermi mixtures
• Theory of radio-frequency spectroscopy of impurities in quantum gases
• Origin and fate of the pseudogap in the doped Hubbard model
• Bose-Fermi dualities for arbitrary one-dimensional quantum systems in the universal low energy regime
• Bloch oscillations of bosonic lattice polarons
• Diagrammatic Monte Carlo study of mass-imbalanced Fermi-polaron system
• Polaron Problems in Ultracold Atoms: Role of a Fermi Sea across Different Spatial Dimensions and Quantum Fluctuations of a Bose Medium
• The polaron paradigm: a dual coupling effective band model
• High-temperature limit of the resonant Fermi gas
• Diagrammatic Monte Carlo study of quasi-two-dimensional Fermi-polarons
• Peierls/Su-Schrieffer-Heeger polarons in two dimensions
• Chandrasekhar-Clogston limit and critical polarization in a Fermi-Bose superfluid mixture
• 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
• Exchange-correlation effect in the charge response of a warm dense electron gas
• Universality of the unitary Fermi gas: A few-body perspective
• Fermi polarons at finite temperature: Spectral function and rf-spectroscopy
• Crossover polarons in a strongly interacting Fermi superfluid
• Chandrasekhar-Clogston limit and phase separation in Fermi mixtures at Unitarity
• Fermi polaron revisited: polaron-molecule transition and coexistence
• Mesoscopic spin transport between strongly interacting Fermi gases
• Numerically Exact Generalized Green's Function Cluster Expansions for Electron-Phonon Problems
• Finite-size and confinement effects in spin-polarized trapped Fermi gases
• Emergence of a sharp quantum collective mode in a one-dimensional Fermi polaron
• Quasiparticle Effective Mass of the Three-Dimensional Fermi Liquid by Quantum Monte Carlo
• Thermodynamic signatures of the polaron-molecule transition in a Fermi gas
• Topological transport of mobile impurities
• Anomalous Dimers in Quantum Mixtures near Broad Resonances: Pauli Blocking, Fermi Surface Dynamics and Implications
• Density profiles of polarized Fermi gases confined in harmonic traps
• Nature of polaron-molecule transition in Fermi polarons
• Self-localization of a small number of Bose particles in a superfluid Fermi system
• Hartree-Fock treatment of Fermi polarons using the Lee-Low-Pine transformation
• Phase diagram for strong-coupling Bose polarons
• Regularization of Diagrammatic Series with Zero Convergence Radius
• Diagrammatic Monte Carlo Method for Impurity Models with General Interactions and Hybridizations
• Polaron-like effects in a one-dimensional optical lattice
• Intersections of ultracold atomic polarons and nuclear clusters: How is a chart of nuclides modified in dilute neutron matter?
• The Trapped Polarized Fermi Gas at Unitarity
• Emergence of Crystalline Few-body Correlations in Mass-imbalanced Fermi Polarons
• Unitary polarized Fermi gas under adiabatic rotation
• The ground state of polaron in an ultracold dipolar Fermi gas
• Cumulant methods for electron-phonon problems. II. The self-consistent cumulant expansion
• Fermi polaron in low-density spin-polarized neutron matter
• Trapping Centers at the Superfluid-Mott-insulator Criticality: Transition between Charge-quantized States
• 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
• An impurity immersed in a double Fermi Sea
• 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
• Fast Principal Minor Algorithms for Quantum Many Body Systems
• Mobile impurity in a one-dimensional gas at finite temperatures
• A mixed dimensional Bose polaron
• The self-energy of an impurity in an ideal Fermi gas to second order in the interaction strength
• Mobile magnetic impurities in a Fermi superfluid: a route to designer molecules
• Theory of the spectral function of Fermi polarons at finite temperature
• Raman spectroscopy of Fermi polarons
• Complex Langevin study for polarons in an attractively interacting one-dimensional two-component Fermi gas
• Highly polarized one-dimensional Fermi gases near a narrow $p-$wave resonance
• The Nonequilibrium Many-Body Problem as a paradigm for extreme data science
• Exact calculation of spectral properties of a particle interacting with a one-dimensional Fermi gas in optical lattices
• Mean-field vs RPA calculation of the energy of an impurity immersed in a spin 1/2 superfluid
• Finite-range effects in the two-dimensional repulsive Fermi polaron
• Magnetic polarons in two-component hard core bosons
• Effect of dispersive optical phonons on the properties of Bond Su-Schrieffer-Heeger polaron
• Equation of State and Phases of Polarized Unitary Fermi Gas
• A unified theory of strong coupling Bose polarons: From repulsive polarons to non-Gaussian many-body bound states
• Probing polaron clouds by Rydberg atom spectroscopy
• 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
• The Weak, the Strong and the Long Correlation Regimes of the Two-Dimensional Hubbard Model at Finite Temperature
• Momentum-dependent quasiparticle properties of the Fermi polaron from the functional renormalization group
• Mass-gap description of heavy impurities in Fermi gases
• Overcomplete intermediate representation of two-particle Green's functions and its relation to partial spectral functions
• A Composite Fermion Approach to the Ultracold Dilute Fermi Gas
• Fermionic Sign Structure of High-order Feynman diagrams in a Many-fermion System
• Exact Jastrow-Slater wave function for the one-dimensional Luttinger model
• All electron GW with linearized augmented plane waves for metals and semiconductors
• Clock Factorized Quantum Monte Carlo Method for Long-range Interacting Systems
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• The Gor'kov and Melik-Barkhudarov correction to an imbalanced Fermi gas in the presence of impurities
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• Matsubara-Frequency-Resolved Spin Exchange-Correlation Kernel for the Three-Dimensional Uniform Electron Gas
• Universal Relations for Fermions with Large Scattering Length
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• Diagrammatic Monte Carlo for electronic correlation in molecules: high-order many-body perturbation theory with low scaling
• Functional-renormalization-group approach to strongly coupled Bose-Fermi mixtures in two dimensions
• Efficient variational approach to the Fermi polaron problem in two dimensions, both in and out of equilibrium
• In-Depth Investigation of Phase Transition Phenomena in Network Models Derived from Lattice Models
• Non-universal Fermi polaron in quasi two-dimensional quantum gases
• The normal state of attractive Fermi gases from coupled-cluster theory
• Bose Polaron in a quantum fluid of light
• Weak coupling limit for the ground state energy of the 2D Fermi polaron
• Ab initio study of the neutron and Fermi polarons on the lattice
• Two-spinon effects on the thermal Tonks-Girardeau gas