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Statistics of work and orthogonality catastrophe in discrete level systems: an application to fullerene molecules and ultra-cold trapped Fermi gases
The sudden introduction of a local impurity in a Fermi sea leads to an anomalous disturbance of its quantum state that represents a local quench, leaving the system out of equilibrium and giving rise to the Anderson orthogonality catastrophe. The statistics of the work done describe the energy fluct...
Autores principales: | , , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Beilstein-Institut
2015
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4419685/ https://www.ncbi.nlm.nih.gov/pubmed/25977846 http://dx.doi.org/10.3762/bjnano.6.78 |
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author | Sindona, Antonello Pisarra, Michele Gravina, Mario Vacacela Gomez, Cristian Riccardi, Pierfrancesco Falcone, Giovanni Plastina, Francesco |
author_facet | Sindona, Antonello Pisarra, Michele Gravina, Mario Vacacela Gomez, Cristian Riccardi, Pierfrancesco Falcone, Giovanni Plastina, Francesco |
author_sort | Sindona, Antonello |
collection | PubMed |
description | The sudden introduction of a local impurity in a Fermi sea leads to an anomalous disturbance of its quantum state that represents a local quench, leaving the system out of equilibrium and giving rise to the Anderson orthogonality catastrophe. The statistics of the work done describe the energy fluctuations produced by the quench, providing an accurate and detailed insight into the fundamental physics of the process. We present here a numerical approach to the non-equilibrium work distribution, supported by applications to phenomena occurring at very diverse energy ranges. One of them is the valence electron shake-up induced by photo-ionization of a core state in a fullerene molecule. The other is the response of an ultra-cold gas of trapped fermions to an embedded two-level atom excited by a fast pulse. Working at low thermal energies, we detect the primary role played by many-particle states of the perturbed system with one or two excited fermions. We validate our approach through the comparison with some photoemission data on fullerene films and previous analytical calculations on harmonically trapped Fermi gases. |
format | Online Article Text |
id | pubmed-4419685 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2015 |
publisher | Beilstein-Institut |
record_format | MEDLINE/PubMed |
spelling | pubmed-44196852015-05-14 Statistics of work and orthogonality catastrophe in discrete level systems: an application to fullerene molecules and ultra-cold trapped Fermi gases Sindona, Antonello Pisarra, Michele Gravina, Mario Vacacela Gomez, Cristian Riccardi, Pierfrancesco Falcone, Giovanni Plastina, Francesco Beilstein J Nanotechnol Full Research Paper The sudden introduction of a local impurity in a Fermi sea leads to an anomalous disturbance of its quantum state that represents a local quench, leaving the system out of equilibrium and giving rise to the Anderson orthogonality catastrophe. The statistics of the work done describe the energy fluctuations produced by the quench, providing an accurate and detailed insight into the fundamental physics of the process. We present here a numerical approach to the non-equilibrium work distribution, supported by applications to phenomena occurring at very diverse energy ranges. One of them is the valence electron shake-up induced by photo-ionization of a core state in a fullerene molecule. The other is the response of an ultra-cold gas of trapped fermions to an embedded two-level atom excited by a fast pulse. Working at low thermal energies, we detect the primary role played by many-particle states of the perturbed system with one or two excited fermions. We validate our approach through the comparison with some photoemission data on fullerene films and previous analytical calculations on harmonically trapped Fermi gases. Beilstein-Institut 2015-03-18 /pmc/articles/PMC4419685/ /pubmed/25977846 http://dx.doi.org/10.3762/bjnano.6.78 Text en Copyright © 2015, Sindona et al. https://creativecommons.org/licenses/by/2.0https://www.beilstein-journals.org/bjnano/termsThis is an Open Access article under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The license is subject to the Beilstein Journal of Nanotechnology terms and conditions: (https://www.beilstein-journals.org/bjnano/terms) |
spellingShingle | Full Research Paper Sindona, Antonello Pisarra, Michele Gravina, Mario Vacacela Gomez, Cristian Riccardi, Pierfrancesco Falcone, Giovanni Plastina, Francesco Statistics of work and orthogonality catastrophe in discrete level systems: an application to fullerene molecules and ultra-cold trapped Fermi gases |
title | Statistics of work and orthogonality catastrophe in discrete level systems: an application to fullerene molecules and ultra-cold trapped Fermi gases |
title_full | Statistics of work and orthogonality catastrophe in discrete level systems: an application to fullerene molecules and ultra-cold trapped Fermi gases |
title_fullStr | Statistics of work and orthogonality catastrophe in discrete level systems: an application to fullerene molecules and ultra-cold trapped Fermi gases |
title_full_unstemmed | Statistics of work and orthogonality catastrophe in discrete level systems: an application to fullerene molecules and ultra-cold trapped Fermi gases |
title_short | Statistics of work and orthogonality catastrophe in discrete level systems: an application to fullerene molecules and ultra-cold trapped Fermi gases |
title_sort | statistics of work and orthogonality catastrophe in discrete level systems: an application to fullerene molecules and ultra-cold trapped fermi gases |
topic | Full Research Paper |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4419685/ https://www.ncbi.nlm.nih.gov/pubmed/25977846 http://dx.doi.org/10.3762/bjnano.6.78 |
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