Diagrammatic Monte Carlo study of quasi-two-dimensional Fermi-polarons

Abstract

We apply a diagrammatic Monte Carlo method to the problem of an impurity interacting resonantly with a homogeneous Fermi bath for a quasi-two-dimensional setup. Notwithstanding the series divergence, we can show numerically that the three particle-hole diagrammatic contributions are not contributing significantly to the final answer, thus demonstrating a nearly perfect destructive interference of contributions in subspaces with higher-order particle-hole lines. Consequently, for strong enough confinement in the third direction, the transition between the polaron and the molecule ground state is found to be in good agreement with the pure two-dimensional case and agrees very well with the one found by the wave-function approach in the two-particle-hole subspace.

6 pages, 4 figures; replaced with published version

References in corpus (11)

• Many-Body Physics with Ultracold Gases
• Attractive and repulsive Fermi polarons in two dimensions
• Fermi-Polaron: Diagrammatic Monte Carlo for Divergent Sign-Alternating Series
• 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
• Trimers, molecules and polarons in imbalanced atomic Fermi gases
• Polaron-molecule transitions in a two-dimensional Fermi gas
• Highly polarized Fermi gases in two dimensions
• Polarons and Molecules in a Two-Dimensional Fermi Gas
• Bold Diagrammatic Monte Carlo Method Applied to Fermionized Frustrated Spins
• Bold Diagrammatic Monte Carlo technique for frustrated spin systems

Cited by in corpus (14)

• Observation of coherent multiorbital polarons in a two-dimensional Fermi gas
• Diagrammatic Monte Carlo study of mass-imbalanced Fermi-polaron system
• 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
• Tunable Feshbach resonances and their spectral signatures in bilayer semiconductors
• Nature of polaron-molecule transition in Fermi polarons
• Superconductivity induced by strong electron-exciton coupling in doped atomically thin semiconductor heterostructures
• Emergence of Crystalline Few-body Correlations in Mass-imbalanced Fermi Polarons
• Exact Quantum Virial Expansion for the Optical Response of Doped Two-Dimensional Semiconductors
• Competing few-body correlations in ultracold Fermi polarons
• Brueckner $G$-matrix approach to two-dimensional Fermi gases with the finite-range attractive interaction
• Momentum-dependent quasiparticle properties of the Fermi polaron from the functional renormalization group
• The normal state of attractive Fermi gases from coupled-cluster theory
• Functional-renormalization-group approach to strongly coupled Bose-Fermi mixtures in two dimensions