https://doi.org/10.1140/epjp/s13360-023-03836-2
Regular Article
Quantum coherence and coherence length of correlated Gaussian states
1
Departamento de Física, Universidade Federal do Piauí, Campus Ministro Petrônio Portela, CEP 64049-550, Teresina, PI, Brazil
2
Centro de Ciências Naturais e Humanas, Universidade Federal do ABC, Avenida dos Estados 5001, 09210-580, Santo André, São Paulo, Brazil
3
Division of Natural Sciences, Duke Kunshan University, No. 8 Duke Avenue, 215316, Kunshan, Jiangsu, China
Received:
6
December
2022
Accepted:
23
February
2023
Published online:
5
March
2023
The superposition principle is at the heart of quantum mechanical interference phenomena. For instance, Quantum coherence, developed by all systems that develop quantum correlations, is deeply rooted in the superposition principle. On the other hand, the coherence length in position and momentum has been shown to encode the interference extension over which phase space correlations are developed. In this work, using partially coherent correlated Gaussian states, we show how the quantum coherence measured by relative entropy can be related with the coherence length.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.