Entanglement Entropies of the quarter filled Hubbard model

Abstract

We study Renyi and von Neumann entanglement entropies in the ground state of the one dimensional quarter-filled Hubbard model with periodic boundary conditions. We show that they exhibit an unexpected dependence on system size: for L=4 mod 8 the results are in agreement with expectations based on conformal field theory, while for L=0 mod 8 additional contributions arise. We show that these can be understood in terms of a "shell-filling" effect, and we develop a conformal field theory approach to calculate the additional contributions to the entropies. These analytic results are found to be in excellent agreement with density matrix renormalisation group computations for weak Hubbard interactions. We argue that for larger interactions the presence of a marginal irrelevant operator in the spin sector strongly affects the entropies at the finite sizes accessible numerically, and we present an effective way to take them into account.

28 pages, 9 figures

References in corpus (14)

• The density-matrix renormalization group in the age of matrix product states
• A one-dimensional liquid of fermions with tunable spin
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• Entanglement spectrum in one-dimensional systems
• Scaling of entanglement support for Matrix Product States
• Entanglement of low-energy excitations in Conformal Field Theory
• Instabilities in binary mixtures of one-dimensional quantum degenerate gases
• Effective spin model for the spin-liquid phase of the Hubbard model on the triangular lattice
• Universal parity effects in the entanglement entropy of XX chains with open boundary conditions
• Exact results for the 1D interacting mixed Bose-Fermi gas
• Correlation functions of one-dimensional Bose-Fermi mixtures
• Shell-Filling Effect in the Entanglement Entropies of Spinful Fermions
• Entanglement in low-energy states of the random-hopping model
• Finite Size Corrections to Entanglement in Quantum Critical Systems

Cited by in corpus (14)

• Symmetry decomposition of relative entropies in conformal field theory
• Subsystem Trace Distance in Quantum Field Theory
• Relative Entanglement Entropies in 1+1-dimensional conformal field theories
• Generalized entanglement entropies in two-dimensional conformal field theory
• Real-time dynamics in the one-dimensional Hubbard model
• Corrections to universal Rényi entropy in quasiparticle excited states of quantum chains
• Entanglement of magnon excitations in spin chains
• Bootstrapping Quantum Extremal Surfaces I: The Area Operator
• Excited state Rényi entropy and subsystem distance in two-dimensional non-compact bosonic theory. Part II. Multi-particle states
• Dynamics of charge imbalance resolved negativity after a global quench in free scalar field theory
• Subsystem distances between quasiparticle excited states
• On symmetry-resolved generalized entropies
• Entanglement in descendants
• Volume-law entanglement fragmentation of quasiparticles