AppliedMath (May 2024)

Quantum Mixtures and Information Loss in Many-Body Systems

  • Diana Monteoliva,
  • Angelo Plastino,
  • Angel Ricardo Plastino

DOI
https://doi.org/10.3390/appliedmath4020031
Journal volume & issue
Vol. 4, no. 2
pp. 570 – 579

Abstract

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In our study, we investigate the phenomenon of information loss, as measured by the Kullback–Leibler divergence, in a many-fermion system, such as the Lipkin model. Information loss is introduced as the number N of particles increases, particularly when the system is in a mixed state. We find that there is a significant loss of information under these conditions. However, we observe that this loss nearly disappears when the system is in a pure state. Our analysis employs tools from information theory to quantify and understand these effects.

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