Spectral weight suppression in response functions of ultracold fermion-boson mixtures

We study the dynamical response of ultracold fermion-boson mixtures in the Bogoliubov regime, where the interactions between fermionic impurities and bosonic excitations (phonons) are described by an effective Fröhlich model under the Bogoliubov approximation. A characteristic suppression of the si...

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Bibliographic Details
Main Authors: Ji, Kai (Author) , Komnik, Andreas (Author)
Format: Article (Journal)
Language:English
Published: [2016]
In: Physical review
Year: 2016, Volume: 94, Issue: 2, Pages: 1-13
ISSN:2469-9934
DOI:10.1103/PhysRevA.94.023635
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevA.94.023635
Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevA.94.023635
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Author Notes:Kai Ji and Andreas Komnik

MARC

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520 |a We study the dynamical response of ultracold fermion-boson mixtures in the Bogoliubov regime, where the interactions between fermionic impurities and bosonic excitations (phonons) are described by an effective Fröhlich model under the Bogoliubov approximation. A characteristic suppression of the single-particle spectral weight is found in the small-momentum region where the impurity band and phonon mode intersect. Using a diagrammatic technique we compute the Bragg spectra as well as the momentum-dependent force-force correlation function. We find that both of them are heavily affected by the spectral weight suppression effect at low impurity densities in both one- and two-dimensional systems. We show that the spectral weight suppression feature in Bragg spectra, which was previously found in quantum Monte Carlo simulations and which cannot be recovered by the random phase approximation, can be accurately reproduced with the help of vertex corrections. 
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