Inhomogeneous quenches in a free fermionic chain: Exact results
We consider the non-equilibrium physics induced by joining together two tight-binding fermionic chains to form a single chain. Before being joined, each chain is in a many-fermion ground state. The fillings (densities) in the two chains might be different. We present a number of exact results, focus...
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ftunifrgnorteir:oai:https://repositorio.ufrn.br:123456789/30330 2023-05-15T15:04:15+02:00 Inhomogeneous quenches in a free fermionic chain: Exact results Viti, Jacopo Stéphan, Jean-Marie Dubail, Jérôme Haque, Masudul 2016-05-19 application/pdf https://repositorio.ufrn.br/handle/123456789/30330 https://doi.org/10.1209/0295-5075/115/40011 en eng IOP Publishing VITI, Jacopo; STÉPHAN, Jean-Marie; DUBAIL, Jérôme; HAQUE, Masudul. Inhomogeneous quenches in a free fermionic chain: exact results. EPL (Europhysics Letters), [S.L.], v. 115, n. 4, p. 40011, 1 ago. 2016. Disponível em: https://iopscience.iop.org/article/10.1209/0295-5075/115/40011. Acesso em: 18 ago. 2020. http://dx.doi.org/10.1209/0295-5075/115/40011 1286-4854 https://repositorio.ufrn.br/handle/123456789/30330 doi:10.1209/0295-5075/115/40011 Attribution 3.0 Brazil http://creativecommons.org/licenses/by/3.0/br/ CC-BY Field theory Inhomogeneous field theory Arctic circle article 2016 ftunifrgnorteir https://doi.org/10.1209/0295-5075/115/40011 2021-12-19T18:00:58Z We consider the non-equilibrium physics induced by joining together two tight-binding fermionic chains to form a single chain. Before being joined, each chain is in a many-fermion ground state. The fillings (densities) in the two chains might be different. We present a number of exact results, focusing on two-point correlators and the Loschmidt echo (return probability). For the non-interacting case, we identify through an exact derivation the regime in which a semiclassical ansatz is valid. We present a number of analytical results beyond semiclassics, such as the approach to the non-equilibrium steady state and the appearance of Tracy-Widom distributions at the front of the light cone. The light cone behavior is quantified through a series expansion in time, and this description is shown to be valid for interacting systems as well. Results on the Loschmidt echo, presented for finite and zero interactions, illustrate that the physics is different from both local and global quenches Article in Journal/Newspaper Arctic Universidade Federal do Rio Grande do Norte: Repositório Institucional (RI UFRN) Arctic EPL (Europhysics Letters) 115 4 40011 |
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Open Polar |
collection |
Universidade Federal do Rio Grande do Norte: Repositório Institucional (RI UFRN) |
op_collection_id |
ftunifrgnorteir |
language |
English |
topic |
Field theory Inhomogeneous field theory Arctic circle |
spellingShingle |
Field theory Inhomogeneous field theory Arctic circle Viti, Jacopo Stéphan, Jean-Marie Dubail, Jérôme Haque, Masudul Inhomogeneous quenches in a free fermionic chain: Exact results |
topic_facet |
Field theory Inhomogeneous field theory Arctic circle |
description |
We consider the non-equilibrium physics induced by joining together two tight-binding fermionic chains to form a single chain. Before being joined, each chain is in a many-fermion ground state. The fillings (densities) in the two chains might be different. We present a number of exact results, focusing on two-point correlators and the Loschmidt echo (return probability). For the non-interacting case, we identify through an exact derivation the regime in which a semiclassical ansatz is valid. We present a number of analytical results beyond semiclassics, such as the approach to the non-equilibrium steady state and the appearance of Tracy-Widom distributions at the front of the light cone. The light cone behavior is quantified through a series expansion in time, and this description is shown to be valid for interacting systems as well. Results on the Loschmidt echo, presented for finite and zero interactions, illustrate that the physics is different from both local and global quenches |
format |
Article in Journal/Newspaper |
author |
Viti, Jacopo Stéphan, Jean-Marie Dubail, Jérôme Haque, Masudul |
author_facet |
Viti, Jacopo Stéphan, Jean-Marie Dubail, Jérôme Haque, Masudul |
author_sort |
Viti, Jacopo |
title |
Inhomogeneous quenches in a free fermionic chain: Exact results |
title_short |
Inhomogeneous quenches in a free fermionic chain: Exact results |
title_full |
Inhomogeneous quenches in a free fermionic chain: Exact results |
title_fullStr |
Inhomogeneous quenches in a free fermionic chain: Exact results |
title_full_unstemmed |
Inhomogeneous quenches in a free fermionic chain: Exact results |
title_sort |
inhomogeneous quenches in a free fermionic chain: exact results |
publisher |
IOP Publishing |
publishDate |
2016 |
url |
https://repositorio.ufrn.br/handle/123456789/30330 https://doi.org/10.1209/0295-5075/115/40011 |
geographic |
Arctic |
geographic_facet |
Arctic |
genre |
Arctic |
genre_facet |
Arctic |
op_relation |
VITI, Jacopo; STÉPHAN, Jean-Marie; DUBAIL, Jérôme; HAQUE, Masudul. Inhomogeneous quenches in a free fermionic chain: exact results. EPL (Europhysics Letters), [S.L.], v. 115, n. 4, p. 40011, 1 ago. 2016. Disponível em: https://iopscience.iop.org/article/10.1209/0295-5075/115/40011. Acesso em: 18 ago. 2020. http://dx.doi.org/10.1209/0295-5075/115/40011 1286-4854 https://repositorio.ufrn.br/handle/123456789/30330 doi:10.1209/0295-5075/115/40011 |
op_rights |
Attribution 3.0 Brazil http://creativecommons.org/licenses/by/3.0/br/ |
op_rightsnorm |
CC-BY |
op_doi |
https://doi.org/10.1209/0295-5075/115/40011 |
container_title |
EPL (Europhysics Letters) |
container_volume |
115 |
container_issue |
4 |
container_start_page |
40011 |
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1766336060696035328 |