Entanglement in disordered superfluids: The impact of density, interaction and harmonic confinement on the Superconductor–Insulator transition

G.A. Canella and V.V. França

Physica A: Statistical Mechanics and its Applications, 2020, vol. 545, issue C

Abstract: We investigate the influence of density, interaction and harmonic confinement on the superfluid to insulator transition (SIT) in disordered fermionic superfluids described by the one-dimensional Hubbard model. We quantify the ground-state single-site entanglement via density-functional theory calculations of the linear entropy. We analyze the critical concentration CC at which the fully-localized state − a special type of localization, with null entanglement − emerges. We find that CC is independent on the interaction, but demands a minimum disorder strength to occur. We then derive analytic relations for CC as a function of the average particle density for attractive and repulsive disorder. Our results reveal that weak harmonic confinement does not impact the properties of the fully-localized state, which occurs at the same CC, but stronger confinements may lead the system from the fully-localized state to the ordinary localization.

Keywords: Disordered systems; Localization; Superfluidity; Quantum phase transitions; Entanglement; Density-functional theory calculations (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119320333

DOI: 10.1016/j.physa.2019.123646

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