Quantum correlations, entanglement spectrum, and coherence of the two-particle reduced density matrix in the extended Hubbard model

Quantum Statistical Complexity Measure as a Signaling of Correlation Transitions

“…[ 54 ]. The ground state properties of the one-dimensional extended Hubbard model at half filling from the perspective of its particle reduced density matrix were studied in [ 55 ], where the authors focused on the reduced density matrix of two fermions and performed an analysis of its quantum correlations and coherence along the different phases of the model.…”

Determinant quantum Monte Carlo for the half-filled Hubbard model with nonlocal density-density interactions

“…Nonlocal Coulomb interactions are also argued to be important in graphene 8 because of poor screening, and in magicangle twisted bilayer graphene 9 because of the peculiar three-lobe Wannier functions for the low energy electron degrees of freedom [10][11][12] . These progresses renew the interest in the extended Hubbard model with the on-site Hubbard U and density-density interactions V on neighboring bonds [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27] .…”

Local density of states and particle entanglement in topological quantum fluids

“…To evaluate the PES, one performs the Schmidt decomposition on a state by dividing it into two parts, each with a fixed number of particles while the total area and geometry of the system remain unchanged. Recently, PES has been fruitfully studied in rotating two-dimensional gases [19], Bose-Einstein condensates [20] and Luttinger liquids [21], Hubbard models [22][23][24], magic-angle twisted bilayer graphene [25], and various lattice models [26,27] including driven optical lattices [28]. Since the PES is obtained by tracing out some particles from the system, it can be intuitively thought of as introducing quasihole excitations to the bulk of the FQH fluid [15].…”