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Mass-gap functional determinant approach for mobile Fermi polarons
Abstract
We extend the functional determinant approach (FDA), previously restricted to static impurities, to the case of finite-mass impurities by using the mass-gap description of Fermi polarons [Phys. Rev. Lett. 135, 193401 (2025)]. The quadratic structure of the mass-gap model enables the exact evaluation of many-body spectra and Ramsey dynamics for mobile impurities. We show that this mass-gap FDA smoothly interpolates between the Fermi-edge singularity for infinitely heavy impurities and the emergence of quasiparticle weight for finite impurity mass. Our results demonstrate that the mass-gap FDA provides a transparent and computationally efficient framework to describe the quantum dynamics of mobile impurities.
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BibTeX
@misc{rodriguez2026massgap,
title = {{Mass-gap functional determinant approach for mobile Fermi polarons}},
author = {Emilio Ramos Rodríguez and Eugen Dizer and Xin Chen and Richard Schmidt},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.30539},
eprint = {2608.30539},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.30539},
}
RIS
TY - UNPB
TI - Mass-gap functional determinant approach for mobile Fermi polarons
AU - Emilio Ramos Rodríguez
AU - Eugen Dizer
AU - Xin Chen
AU - Richard Schmidt
PY - 2026
DA - 2026/08/31
PB - arXiv
DO - 10.48550/arxiv.2608.30539
UR - https://arxiv.org/abs/2608.30539
AB - We extend the functional determinant approach (FDA), previously restricted to static impurities, to the case of finite-mass impurities by using the mass-gap description of Fermi polarons [Phys. Rev. Lett. 135, 193401 (2025)]. The quadratic structure of the mass-gap model enables the exact evaluation of many-body spectra and Ramsey dynamics for mobile impurities. We show that this mass-gap FDA smoothly interpolates between the Fermi-edge singularity for infinitely heavy impurities and the emergence of quasiparticle weight for finite impurity mass. Our results demonstrate that the mass-gap FDA provides a transparent and computationally efficient framework to describe the quantum dynamics of mobile impurities.
ER -