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

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  • Canella, G.A.
  • França, V.V.

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.

Suggested Citation

  • Canella, G.A. & França, V.V., 2020. "Entanglement in disordered superfluids: The impact of density, interaction and harmonic confinement on the Superconductor–Insulator transition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    • Handle: RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119320333
    DOI: 10.1016/j.physa.2019.123646
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    References listed on IDEAS

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    1. Rajibul Islam & Ruichao Ma & Philipp M. Preiss & M. Eric Tai & Alexander Lukin & Matthew Rispoli & Markus Greiner, 2015. "Measuring entanglement entropy in a quantum many-body system," Nature, Nature, vol. 528(7580), pages 77-83, December.
    2. A. Bezryadin & C. N. Lau & M. Tinkham, 2000. "Quantum suppression of superconductivity in ultrathin nanowires," Nature, Nature, vol. 404(6781), pages 971-974, April.
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