Polaron-molecule transitions in a two-dimensional Fermi gas

Abstract

We address the problem of a single "spin-down" impurity atom interacting attractively with a spin-up Fermi gas in two dimensions (2D). We consider the case where the mass of the impurity is greater than or equal to the mass of a spin-up fermion. Using a variational approach, we resolve the questions raised by previous studies and we show that there is, in fact, a transition between polaron and molecule (dimer) ground states in 2D. For the molecule state, we use a variational wave function with a single particle-hole excitation on the Fermi sea and we find that its energy matches that of the exact solution in the limit of infinite impurity mass. Thus, we expect the variational approach to provide a reliable tool for investigating 2D systems.

4 pages, 2 figures

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• Universal many-body response of heavy impurities coupled to a Fermi sea
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• Variational study of polarons in Bose-Einstein condensates
• Repulsive polarons and itinerant ferromagnetism in strongly polarized Fermi gases
• Highly polarized Fermi gases in two dimensions
• Observation of coherent multiorbital polarons in a two-dimensional Fermi gas
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• Diagrammatic Monte Carlo study of the Fermi polaron in two dimensions
• Mass imbalance effect in resonant Bose-Fermi mixtures
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• Non-Hermitian Squeezed Polarons
• The Fermi-polaron in two dimensions: Importance of the two-body bound state
• Molecule and polaron in a highly polarized two-dimensional Fermi gas with spin-orbit coupling
• Ab initio lattice results for Fermi polarons in two dimensions
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• High-precision numerical solution of the Fermi polaron problem and large-order behavior of its diagrammatic series
• Tunable Feshbach resonances and their spectral signatures in bilayer semiconductors
• Tuning Rashba and Dresselhaus spin-orbit couplings: Effects on singlet and triplet condensation with Fermi atoms
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• Three-component Ultracold Fermi Gases with Spin-Orbit Coupling
• Fermi polaron revisited: polaron-molecule transition and coexistence
• Pairing instabilities in quasi-two-dimensional Fermi gases
• Radio frequency spectra of Feshbach molecules in quasi-two dimensional geometries
• Generating Giant Vortex in a Fermi Superfluid via Spin-Orbital-Angular-Momentum Coupling
• Supersolidity in electron-hole bilayers with a large density imbalance
• High-polarization limit of the quasi-two-dimensional Fermi gas
• Two-dimensional short-range interacting attractive and repulsive Fermi gases at zero temperature
• Quantum-Zeno Fermi polaron in the strong dissipation limit
• Pairing and radio-frequency spectroscopy in two-dimensional Fermi gases
• Thermodynamic signatures of the polaron-molecule transition in a Fermi gas
• Nature of polaron-molecule transition in Fermi polarons
• Crossover from exciton polarons to trions in doped two-dimensional semiconductors at finite temperature
• One-dimensional Fermi polaron in a combined harmonic and periodic potential
• Superconductivity induced by strong electron-exciton coupling in doped atomically thin semiconductor heterostructures
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• Emergence of Crystalline Few-body Correlations in Mass-imbalanced Fermi Polarons
• Superfluidity in Two-Dimensional Imbalanced Fermi Gases
• Exact results for polaron and molecule in one-dimensional spin-1/2 Fermi gas
• Rotons in Optical Excitation Spectra of Monolayer Semiconductors
• Polaron in a $p+ip$ Fermi topological superfluid
• Spectral Theory of the Fermi Polaron
• A smooth polaron-molecule crossover in a Fermi system
• Two-dimensional polaron spectroscopy of Fermi superfluids
• Exact Quantum Virial Expansion for the Optical Response of Doped Two-Dimensional Semiconductors
• A Non-Gaussian Variational Approach to Fermi Polarons in One- and Two-dimensional Lattices
• Highly polarized one-dimensional Fermi gases near a narrow $p-$wave resonance
• Polar molecules in bilayers with high population imbalance
• Competing few-body correlations in ultracold Fermi polarons
• Mobile Impurities and Orthogonality Catastrophe in two-dimensional Vortex Lattices
• Spectra of heavy polarons and molecules coupled to a Fermi sea
• Excitonic states of an impurity in a Fermi gas
• Pairing imbalance in BCS-BEC crossover of inhomogeneous three-component Fermi-gas in two dimensions
• Momentum-dependent quasiparticle properties of the Fermi polaron from the functional renormalization group
• Polaronic and dressed molecular states in orbital Feshbach resonances
• A unified theory of strong coupling Bose polarons: From repulsive polarons to non-Gaussian many-body bound states
• Boson-fermion pairing and condensation in two-dimensional Bose-Fermi mixtures
• Mass-gap description of heavy impurities in Fermi gases
• Two-dimensional spin-imbalanced Fermi gases at non-zero temperature: Phase separation of a non-condensate
• Fermi polaron in a dissipative bath with spin-orbit coupling
• High Density Limit of the Fermi Polaron with Infinite Mass
• Super Fermi polaron and Nagaoka ferromagnetism in a two-dimesnional square lattice
• On the Weakness of Short-Range Interactions in Fermi Gases
• Efficient variational approach to the Fermi polaron problem in two dimensions, both in and out of equilibrium
• Bound states in two-dimensional Fermi systems with quadratic band touching
• Functional-renormalization-group approach to strongly coupled Bose-Fermi mixtures in two dimensions
• Non-universal Fermi polaron in quasi two-dimensional quantum gases
• Multiple polaron quasiparticles with dipolar fermions in a bilayer geometry
• Quantum Computing Demonstration of the Polaron-Molecule Transition on a NISQ Device
• Weak coupling limit for the ground state energy of the 2D Fermi polaron
• Two- and three- dimensional few-body systems in the universal regime