Entanglement in the pseudogap regime of cuprate superconductors

Abstract

We find a strongly enhanced entanglement within the pseudogap regime of the Hubbard model. This entanglement is estimated from the quantum Fisher information and, avoiding the ill-conditioned analytical continuation, the quantum variance. Both are lower bounds for the actual entanglement that can be calculated from the (antiferromagnetic) susceptibility, obtained here with the dynamical vertex approximation. Our results qualitatively agree with experimental neutron scattering experiments for various cuprates. Theory predicts a $\ln (1/T)$ divergence of the entanglement for low temperatures $T$, which is however cut-off by the onset of superconductivity.

13 pages, 11 figures

References in corpus (29)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Dynamical vertex approximation - a step beyond dynamical mean field theory
• Multipartite entanglement in spin chains
• Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model
• Dynamical vertex approximation in its parquet implementation: application to Hubbard nano-rings
• Witnessing entanglement in quantum magnets using neutron scattering
• Witnessing quantum criticality and entanglement in the triangular antiferromagnet KYbSe${}_2$
• Quantifying and controlling entanglement in the quantum magnet Cs${}_2$CoCl${}_4$
• Truncated Unity Parquet Solver
• Frustrated Quantum Spins at finite Temperature: Pseudo-Majorana functional RG approach
• Experimental realisation of multipartite entanglement via quantum Fisher information in a uniform antiferromagnetic quantum spin chain
• Quantitative functional renormalization-group description of the two-dimensional Hubbard model
• Probing quantum correlations in many-body systems: a review of scalable methods
• Optimizing superconductivity: from cuprates via nickelates to palladates
• Pseudo-fermion functional renormalization group for spin models
• Witnessing Entanglement and Quantum Correlations in Condensed Matter: A Review
• Hourglass dispersion and resonance of magnetic excitations in the superconducting state of the single-layer cuprate HgBa2CuO4+δ near optimal doping
• Universal features of entanglement entropy in the honeycomb Hubbard model
• High-T${}_c$ cuprates: a story of two electron subsystems
• From Classical to Quantum Information Geometry: A Guide for Physicists
• Strongly correlated superconductivity with long-range spatial fluctuations
• Quasilocal entanglement across the Mott-Hubbard transition
• Entanglement and classical correlations at the doping-driven Mott transition in the two-dimensional Hubbard model
• Physical limitations of the Hohenberg-Mermin-Wagner theorem
• Entanglement Rényi Negativity of Interacting Fermions from Quantum Monte Carlo Simulations
• Tutorial: Extracting entanglement signatures from neutron spectroscopy
• Alternatives of entanglement depth and metrological entanglement criteria
• Reconstructing the spatial structure of quantum correlations in materials
• Dynamical mean-field theory for Rényi entanglement entropy and mutual Information in Hubbard Model

Cited by in corpus (3)

• The finite-difference parquet method: Enhanced electron-paramagnon scattering opens a pseudogap
• Entanglement across scales: Quantics tensor trains as a natural framework for renormalization
• Functional renormalization with interaction flows: A single-boson exchange perspective and application to electron-phonon systems