Entanglement Entropy of the Low-Lying Excited States and Critical Properties of an Exactly Solvable Two-Leg Spin Ladder with Three-Spin Interactions

Abstract

In this work, we investigate an exactly solvable two-leg spin ladder with three-spin interactions. We obtain analytically the finite-size corrections of the low-lying energies and determine the central charge as well as the scaling dimensions. The model considered in this work has the same universality class of critical behavior of the XX chain with central charge c=1. By using the correlation matrix method, we also study the finite-size corrections of the Renyi entropy of the ground state and of the excited states. Our results are in agreement with the predictions of the conformal field theory.

arXiv comment10 pages, 6 figures, 2 tables

References in corpus (52)

• Entanglement Entropy and Quantum Field Theory
• Area laws for the entanglement entropy - a review
• Entanglement in quantum critical phenomena
• Geometric and Renormalized Entropy in Conformal Field Theory
• Entanglement entropy and conformal field theory
• Calculation of reduced density matrices from correlation functions
• Entanglement entropy of fermions in any dimension and the Widom conjecture
• Violation of the entropic area law for Fermions
• Universality of Entropy Scaling in 1D Gap-less Models
• Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
• Boundary effects in the critical scaling of entanglement entropy in 1D systems
• Density-Matrix Spectra of Solvable Fermionic Systems
• Three-spin interactions in optical lattices and criticality in cluster Hamiltonians
• Entanglement of low-energy excitations in Conformal Field Theory
• Parity effects in the scaling of block entanglement in gapless spin chains
• Entanglement Entropy and the Fermi Surface
• Entanglement in solvable many-particle models
• Entanglement scaling in critical two-dimensional fermionic and bosonic systems
• The entanglement entropy of one-dimensional gases
• A short review on entanglement in quantum spin systems
• Entanglement entropy in quantum impurity systems and systems with boundaries
• Entanglement entropy of excited states
• Unusual Corrections to Scaling in Entanglement Entropy
• Universal parity effects in the entanglement entropy of XX chains with open boundary conditions
• Scaling Behavior of Entanglement in Two- and Three-Dimensional Free Fermions
• Infinite matrix product states, Conformal Field Theory and the Haldane-Shastry model
• An area law for the entropy of low-energy states
• Universal corrections to scaling for block entanglement in spin-1/2 XX chains
• Phase Diagram of the spin S=1/2 Extended XY model
• Statistics dependence of the entanglement entropy
• Entanglement spectrum of random-singlet quantum critical points
• Entanglement of excited states in critical spin chians
• Entanglement Entropy of Fermi Liquids via Multi-dimensional Bosonization
• Spin 3/2 fermions with attractive interactions in a one-dimensional optical lattice: phase diagrams, entanglement entropy, and the effect of the trap
• Threshold Singularities in the One Dimensional Hubbard Model
• Tomonaga-Luttinger-liquid criticality: numerical entanglement entropy approach
• Valence Bond and von Neumann Entanglement Entropy in Heisenberg Ladders
• The entanglement entropy of 1D systems in continuous and homogenous space
• DMRG studies of critical SU(N) spin chains
• Estimating Quasi-long-range Order via Renyi Entropies
• Finite-size corrections of the Entanglement Entropy of critical quantum chains
• Renyi Entropy and Parity Oscillations of the Anisotropic Spin-s Heisenberg Chains in a Magnetic Field
• New insights into the entanglement of disjoint blocks
• Subarea law of entanglement in nodal fermionic systems
• Entanglement Entropy, Conformal Invariance and the Critical Behavior of the Anisotropic Spin-S Heisenberg Chains: A DMRG study
• Critical properties and Rényi entropies of the spin-3/2 XXZ chain
• Precise Determination of Quantum Critical Points by the Violation of the Entropic Area Law
• Exact solution of a spin-1/2 $XX$ chain with three-site interactions in a random transverse field: Influence of randomness on quantum phase transition
• Correlation Length and Unusual Corrections to the Entanglement Entropy
• Quantum phase transitions in a new exactly solvable quantum spin biaxial model with multiple spin interactions
• Finite Size Corrections to Entanglement in Quantum Critical Systems
• Quantized Lattice Dynamic Effects on the Peierls transition of the Extended Hubbard Model

Cited by in corpus (12)

• Entanglement Entropies in Conformal Systems with Boundaries
• Quantum phase transitions in a generalized compass chain with three-site interactions
• Entanglement in low-energy states of the random-hopping model
• The N-Leg spin-S Heisenberg ladders: A DMRG study
• The three site interacting spin chain in staggered field: Fidelity vs Loschmidt echo
• Adiabatic Tracking of a State: a New Route to Nonequilibrium Physics
• Emergent phases in a compass chain with multisite interactions
• Universal Finite-Size Corrections of the Entanglement Entropy of Quantum Ladders and the Entropic Area Law
• Odd-even effect of quantum discord and quantum phase transitions in the S=1/2 spin ladder with ring exchange
• Effect of long-range hopping on dynamic quantum phase transitions of an exactly solvable free-fermion model: Nonanalyticities at almost all times
• Chain and ladder models with two-body interactions and analytical ground states
• Entanglement entropy in multi-leg Kitaev ladders with interface defects