Polaron Problems in Ultracold Atoms: Role of a Fermi Sea across Different Spatial Dimensions and Quantum Fluctuations of a Bose Medium

Abstract

The notion of a polaron, originally introduced in the context of electrons in ionic lattices, helps us to understand how a quantum impurity behaves when being immersed in and interacting with a many-body background. We discuss the impact of the impurities on the medium particles by considering feedback effects from polarons that can be realized in ultracold quantum gas experiments. In particular, we exemplify the modifications of the medium in the presence of either Fermi or Bose polarons. Regarding Fermi polarons we present a corresponding many-body diagrammatic approach operating at finite temperatures and discuss how mediated two- and three-body interactions are implemented within this framework. Utilizing this approach, we analyze the behavior of the spectral function of Fermi polarons at finite temperature by varying impurity-medium interactions as well as spatial dimensions from three to one. Interestingly, we reveal that the spectral function of the medium atoms could be a useful quantity for analyzing the transition/crossover from attractive polarons to molecules in three-dimensions. As for the Bose polaron, we showcase the depletion of the background Bose-Einstein condensate in the vicinity of the impurity atom. Such spatial modulations would be important for future investigations regarding the quantification of interpolaron correlations in Bose polaron problems.

39 pages, 9 figures

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Cited by in corpus (23)

• Polarons and bipolarons in a two-dimensional square lattice
• Pattern formation in one-dimensional polaron systems and temporal orthogonality catastrophe
• Quantum-limited thermometry of a Fermi gas with a charged spin particle
• Counterflow dynamics of two correlated impurities immersed in a bosonic gas
• Condensation of Cooper Triples
• Intersections of ultracold atomic polarons and nuclear clusters: How is a chart of nuclides modified in dilute neutron matter?
• Binding two and three $\alpha$ particles in cold neutron matter
• Emergence of Crystalline Few-body Correlations in Mass-imbalanced Fermi Polarons
• Medium-induced bosonic clusters in a Bose-Fermi mixture: Towards simulating cluster formations in neutron-rich matter
• Polaronic Proton and Diproton Clustering in Neutron-Rich Matter
• Complex Langevin study for polarons in an attractively interacting one-dimensional two-component Fermi gas
• Fermi spin polaron and dissipative Fermi-polaron Rabi dynamics
• Brueckner $G$-matrix approach to two-dimensional Fermi gases with the finite-range attractive interaction
• Entangling lattice-trapped bosons with a free impurity: impact on stationary and dynamical properties
• Resonance-to-bound transition of ${}^5$He in neutron matter and its analogy with heteronuclear Feshbach molecule
• Exploring ${}^3{P}_0$ Superfluid in Dilute Spin-Polarized Neutron Matter
• Repulsive Fermi and Bose Polarons in Quantum Gases
• Polaronic neutron in dilute alpha matter: A $p$-wave Bose polaron
• Tunable Fujita-Miyazawa-Type Three-Body Force in Ultracold Atoms
• Effective two- and three-body interactions between dressed impurities in a tilted double-well potential
• Multiple polaron quasiparticles with dipolar fermions in a bilayer geometry
• Competition of light- and phonon-dressing in microwave-dressed Bose polarons
• Phases and dynamics of an impurity immersed in one-dimensional quantum droplets