Polaron spectroscopy of interacting Fermi systems: Insights from exact diagonalization

Amelio, Ivan; Goldman, Nathan

doi:10.21468/SciPostPhys.16.2.056

SciPost Physics

Polaron spectroscopy of interacting Fermi systems: Insights from exact diagonalization

Ivan Amelio, Nathan Goldman

SciPost Phys. 16, 056 (2024) · published 26 February 2024

doi: 10.21468/SciPostPhys.16.2.056
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Abstract

Immersing a mobile impurity into a many-body quantum system represents a theoretically intriguing and experimentally effective way of probing its properties. In this work, we study the polaron spectral function in various environments, within the framework of Fermi-Hubbard models. Inspired by possible realizations in cold atoms and semiconductor heterostructures, we consider different configurations for the background Fermi gas, including charge density waves, multiple Fermi seas and pair superfluids. While our calculations are performed using an exact-diagonalization approach, hence limiting our analysis to systems of few interacting Fermi particles, we identify robust spectral features supported by theoretical results. Our work provides a benchmark for computations based on mean-field approaches and reveal surprising features of polaron spectra, inspiring new theoretical investigations.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.16.2.056
TI  - Polaron spectroscopy of interacting Fermi systems: Insights from exact diagonalization
PY  - 2024/02/26
UR  - https://scipost.org/SciPostPhys.16.2.056
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 16
IS  - 2
SP  - 056
A1  - Amelio, Ivan
AU  - Goldman, Nathan
AB  - Immersing a mobile impurity into a many-body quantum system represents a theoretically intriguing and experimentally effective way of probing its properties. In this work, we study the polaron spectral function in various environments, within the framework of Fermi-Hubbard models. Inspired by possible realizations in cold atoms and semiconductor heterostructures, we consider different configurations for the background Fermi gas, including charge density waves, multiple Fermi seas and pair superfluids. While our calculations are performed using an exact-diagonalization approach, hence limiting our analysis to systems of few interacting Fermi particles, we identify robust spectral features supported by theoretical results. Our work provides a benchmark for computations based on mean-field approaches and reveal surprising features of polaron spectra, inspiring new theoretical investigations.
ER  -

@Article{10.21468/SciPostPhys.16.2.056,
	title={{Polaron spectroscopy of interacting Fermi systems: Insights from exact diagonalization}},
	author={Ivan Amelio and Nathan Goldman},
	journal={SciPost Phys.},
	volume={16},
	pages={056},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.16.2.056},
	url={https://scipost.org/10.21468/SciPostPhys.16.2.056},
}

Cited by 3

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¹ Ivan Amelio,
¹ Nathan Goldman

¹ Université Libre de Bruxelles [ULB]

Funders for the research work leading to this publication

European Research Council [ERC]
Fonds De La Recherche Scientifique - FNRS (FNRS) (through Organization: Fonds National de la Recherche Scientifique [FNRS])
Waalse Gewest