Entanglement in low-energy states of the random-hopping model

Abstract

We study the low-energy states of the 1D random-hopping model in the strong disordered regime. The entanglement structure is shown to depend solely on the probability distribution for the length of the effective bonds $P(l_b)$, whose scaling and finite-size behavior are established using renormalization-group arguments and a simple model based on random permutations. Parity oscillations are absent in the von Neumann entropy with periodic boundary conditions, but appear in the higher moments of the distribution, such as the variance. The particle-hole excited states leave the bond-structure and the entanglement untouched. Nonetheless, particle addition or removal deletes bonds and leads to an effective saturation of entanglement at an effective block size given by the expected value for the longest bond.

References in corpus (24)

• Entanglement Entropy and Quantum Field Theory
• Entanglement in quantum critical phenomena
• Geometric and Renormalized Entropy in Conformal Field Theory
• Calculation of reduced density matrices from correlation functions
• Entanglement entropy of random quantum critical points in one dimension
• A pedestrian's view on interacting particle systems, KPZ universality, and random matrices
• Entanglement of low-energy excitations in Conformal Field Theory
• Parity effects in the scaling of block entanglement in gapless spin chains
• Scaling of Entanglement Entropy in the Random Singlet Phase
• General Relation between Entanglement and Fluctuations in One Dimension
• Dirac Equation For Cold Atoms In Artificial Curved Spacetimes
• Criticality and entanglement in random quantum systems
• Distributions of gaps and end-to-end correlations in random transverse-field Ising spin chains
• Entanglement spectrum of random-singlet quantum critical points
• Correlation amplitude and entanglement entropy in random spin chains
• Entanglement entropy and multifractality at localization transitions
• Entanglement Entropies in Conformal Systems with Boundaries
• Estimating Quasi-long-range Order via Renyi Entropies
• Shell-Filling Effect in the Entanglement Entropies of Spinful Fermions
• Renyi Entropy and Parity Oscillations of the Anisotropic Spin-s Heisenberg Chains in a Magnetic Field
• Self-assembling tensor networks and holography in disordered spin chains
• Critical properties and Rényi entropies of the spin-3/2 XXZ chain
• Entanglement Entropy of the Low-Lying Excited States and Critical Properties of an Exactly Solvable Two-Leg Spin Ladder with Three-Spin Interactions
• A growth model for RNA secondary structures

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