Quantum information theoretic measures to distinguish fermionized bosons from non-interacting fermions

Barnali Chakrabarti; Arnaldo Gammal; N D Chavda; Mantile Leslie Lekala

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arXiv · 2402.00372

Quantum information theoretic measures to distinguish fermionized bosons from non-interacting fermions

Barnali Chakrabarti·Arnaldo Gammal·N D Chavda·Mantile Leslie Lekala

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Abstract

We study the dynamical fermionization of strongly interacting one-dimensional bosons in Tonks-Girardeau limit by solving the time dependent many-boson Schrödinger equation numerically exactly. We establish that the one-body momentum distribution approaches the ideal Fermi gas distribution at the time of dynamical fermionization. The analysis is further complemented by the measures on two-body level. Investigation on two-body momentum distribution, two-body local and non-local correlation clearly distinguish the fermionized bosons from non-interacting fermions. The magnitude of distinguishablity between the two systems is further discussed employing suitable measures of information theory, i.e., the well known Kullback-Leibler relative entropy and the Jensen-Shannon divergence entropy. We also observe very rich structure in the higher-body density for strongly correlated bosons whereas non-interacting fermions do not possess any higher order correlation beyond two-body.

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Barnali Chakrabarti, Arnaldo Gammal, N D Chavda, Mantile Leslie Lekala. 2024-02-01. Quantum information theoretic measures to distinguish fermionized bosons from non-interacting fermions. https://arxiv.org/abs/2402.00372

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