article published yes Mikhail Maslov author 2E65BB0E-F248-11E8-B48F-1D18A9856A870000-0003-4074-2570 Mikhail Lemeshko author 37CB05FA-F248-11E8-B48F-1D18A9856A870000-0002-6990-7802 Artem Volosniev author 37D278BC-F248-11E8-B48F-1D18A9856A870000-0003-0393-5525 MiLe department Quantum rotations in the presence of a many-body environment project Angulon: physics and applications of a new quasiparticle project ISTplus - Postdoctoral Fellowships project We study an impurity with a resonance level whose position coincides with the Fermi energy of the surrounding Fermi gas. An impurity causes a rapid variation of the scattering phase shift for fermions at the Fermi surface, introducing a new characteristic length scale into the problem. We investigate manifestations of this length scale in the self-energy of the impurity and in the density of the bath. Our calculations reveal a model-independent deformation of the density of the Fermi gas, which is determined by the width of the resonance. To provide a broader picture, we investigate time evolution of the density in quench dynamics, and study the behavior of the system at finite temperatures. Finally, we briefly discuss implications of our findings for the Fermi-polaron problem. https://research-explorer.ista.ac.at/download/10845/10848/2022_PhysicalReviewResearch_Maslov.pdf application/pdfno American Physical Society2022 eng 2643-1564 2111.1357010.1103/PhysRevResearch.4.013160 4 https://research-explorer.ista.ac.at/record/19048 Maslov M, Lemeshko M, Volosniev A. 2022. Impurity with a resonance in the vicinity of the Fermi energy. Physical Review Research. 4, 013160. Maslov, Mikhail, et al. “Impurity with a Resonance in the Vicinity of the Fermi Energy.” <i>Physical Review Research</i>, vol. 4, 013160, American Physical Society, 2022, doi:<a href="https://doi.org/10.1103/PhysRevResearch.4.013160">10.1103/PhysRevResearch.4.013160</a>. M. Maslov, M. Lemeshko, and A. Volosniev, “Impurity with a resonance in the vicinity of the Fermi energy,” <i>Physical Review Research</i>, vol. 4. American Physical Society, 2022. Maslov, M., Lemeshko, M., &#38; Volosniev, A. (2022). Impurity with a resonance in the vicinity of the Fermi energy. <i>Physical Review Research</i>. American Physical Society. <a href="https://doi.org/10.1103/PhysRevResearch.4.013160">https://doi.org/10.1103/PhysRevResearch.4.013160</a> Maslov M, Lemeshko M, Volosniev A. Impurity with a resonance in the vicinity of the Fermi energy. <i>Physical Review Research</i>. 2022;4. doi:<a href="https://doi.org/10.1103/PhysRevResearch.4.013160">10.1103/PhysRevResearch.4.013160</a> Maslov, Mikhail, Mikhail Lemeshko, and Artem Volosniev. “Impurity with a Resonance in the Vicinity of the Fermi Energy.” <i>Physical Review Research</i>. American Physical Society, 2022. <a href="https://doi.org/10.1103/PhysRevResearch.4.013160">https://doi.org/10.1103/PhysRevResearch.4.013160</a>. M. Maslov, M. Lemeshko, A. Volosniev, Physical Review Research 4 (2022). 108452022-03-13T23:01:46Z2025-04-14T12:56:49Z