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Main Authors: Gerharz, Miriam, Evers, Jörg
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2510.00970
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author Gerharz, Miriam
Evers, Jörg
author_facet Gerharz, Miriam
Evers, Jörg
contents Recent progress in accelerator-based x-ray sources brings higher excitation of ensembles of Mössbauer nuclei closer to experimental feasibility. Yet, a theoretical modeling of the decay dynamics of the interacting nuclear ensemble after the impulsive excitation is still an open challenge. Here, we derive a set of nonlinear equations which is capable of efficiently modeling large nuclear ensembles for arbitrary degrees of excitation. As key signature for higher excitation, we identify a non-linear time-evolution of the nuclear dipole phase, which can be tuned via the scattering geometry, and interferometrically be measured. Furthermore, we identify interesting finite-size effects in the nuclear dynamics of small ensembles. Our results provide important guidance for future experiments aiming at the non-linear excitation of nuclei. We further envision the exploration of finite size-effects in Mössbauer spectroscopy with highest spatial resolution, i.e., small sample volumes.
format Preprint
id arxiv_https___arxiv_org_abs_2510_00970
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Cumulant expansion approach to the decay dynamics of interacting Mössbauer nuclei after strong impulsive excitation
Gerharz, Miriam
Evers, Jörg
Quantum Physics
Recent progress in accelerator-based x-ray sources brings higher excitation of ensembles of Mössbauer nuclei closer to experimental feasibility. Yet, a theoretical modeling of the decay dynamics of the interacting nuclear ensemble after the impulsive excitation is still an open challenge. Here, we derive a set of nonlinear equations which is capable of efficiently modeling large nuclear ensembles for arbitrary degrees of excitation. As key signature for higher excitation, we identify a non-linear time-evolution of the nuclear dipole phase, which can be tuned via the scattering geometry, and interferometrically be measured. Furthermore, we identify interesting finite-size effects in the nuclear dynamics of small ensembles. Our results provide important guidance for future experiments aiming at the non-linear excitation of nuclei. We further envision the exploration of finite size-effects in Mössbauer spectroscopy with highest spatial resolution, i.e., small sample volumes.
title Cumulant expansion approach to the decay dynamics of interacting Mössbauer nuclei after strong impulsive excitation
topic Quantum Physics
url https://arxiv.org/abs/2510.00970