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

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 $C_C$ at which the fully-localized state $-$ a special type of localization, with null entanglement $-$ emerges. We find that $C_C$ is independent on the interaction, but demands a minimum disorder strength to occur. We then derive analytical relations for $C_C$ 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 $C_C$, but stronger confinements may lead the system from the fully-localized state to the ordinary localization.

arXiv comment6 pages, 4 figures

References in corpus (40)

• Quantum entanglement
• The density-matrix renormalization group
• The classical-quantum boundary for correlations: discord and related measures
• Measuring entanglement entropy through the interference of quantum many-body twins
• Quantum entanglement in condensed matter systems
• The European Quantum Technologies Roadmap
• Quantum suppression of superconductivity in ultrathin nanowires
• Quantum Entanglement in Fermionic Lattices
• Local entanglement and quantum phase transition in the Hubbard model
• Entanglement and quantum phase transition in the extended Hubbard model
• A Bose-Einstein condensate in a random potential
• Disordered quantum gases under control
• Nature of the superconductor-insulator transition in disordered superconductors
• Mixtures of Bosonic and Fermionic Atoms in Optical Lattices
• Entanglement Scaling in the One-Dimensional Hubbard Model at Criticality
• Linear entropy as an entanglement measure in two-fermion systems
• Entanglement and density-functional theory: testing approximations on Hooke's atom
• Scaling of genuine multiparticle entanglement at a quantum phase transition
• Synthetic dimensions in ultracold molecules: quantum strings and membranes
• Block-block entanglement and quantum phase transitions in one-dimensional extended Hubbard model
• Entanglement entropy across the superfluid-insulator transition : a signature of bosonic criticality
• Entanglement in spatially inhomogeneous many-fermion systems
• Characterizing disordered fermion systems using the momentum-space entanglement spectrum
• Entanglement entropy and entanglement witnesses in models of strongly interacting low-dimensional fermions
• Entanglement entropy in one-dimensional disordered interacting system: The role of localization
• Effect of confinement potential geometry on entanglement in quantum dot-based nanostructures
• Entanglement contour perspective for strong area law violation in a disordered long-range hopping model
• Fulde-Ferrell-Larkin-Ovchinnikov critical polarization in one-dimensional fermionic optical lattices
• Interacting fermions in 1D disordered lattices: Exploring localization and transport properties with lattice density-functional theories
• Disorder and Interactions in 1D Systems
• Entanglement from density measurements: analytical density-functional for the entanglement of strongly correlated fermions
• Uniqueness of density-to-potential mapping for fermionic lattice systems
• Bosonization and entanglement spectrum for one-dimensional polar bosons on disordered lattices
• Entanglement and exotic superfluidity in spin-imbalanced lattices
• Universal and nonuniversal contributions to block-block entanglement in many-fermion systems
• Using entanglement to discern phases in the disordered one-dimensional Bose-Hubbard model
• Entanglement enhancement in spatially inhomogeneous many-body systems
• Superfluid-Insulator Transition unambiguously detected by entanglement in one-dimensional disordered superfluids
• Investigating disordered many-body system with entanglement in momentum space
• On low eigevalues of the entanglement Hamiltonian, localization length, and rare regions in disordered interacting one-dimensional systems

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