Quantum coherence and coherence length of correlated Gaussian states

• Published in: European physical journal plus Vol. 138; no. 3; p. 210
• Main Authors: Silva, Pedro P. da, Vieira, Carlos H. S., Sampaio, Marcos, Santos, Jonas F. G., Paz, Irismar G. da
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 05-03-2023; Springer Nature B.V
• Subjects: Applied and Technical Physics; Atomic; Coherence length; Complex Systems; Condensed Matter Physics; Correlation; Entropy; Interference; Interferometry; Mathematical and Computational Physics; Molecular; Optical and Plasma Physics; Phase transitions; Physics; Physics and Astronomy; Principles; Probability distribution; Quantum mechanics; Quantum phenomena; Regular Article; Superposition (mathematics); Theoretical
• ISSN: 2190-5444; 2190-5444
• DOI: 10.1140/epjp/s13360-023-03836-2

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.