Momentum-Space Entanglement in Heisenberg Spin-Half Ladders

Abstract

We analytically study momentum-space entanglement in quantum spin-half ladders consisting of two coupled critical XXZ spin-half chains using field theoretical methods. When the system is gapped, the momentum-space entanglement Hamiltonian is described by a conformal field theory with a central charge of two. This is in contrast to entanglement Hamiltonians of various real-space partitions of gapped-spin ladders that have a central charge of one. When the system is gapless, we interestingly find that the entanglement Hamiltonian consist of one gapless mode linear in subsystem momentum and one mode with a flat dispersion relation. We also find that the momentum-space entanglement entropy obeys a volume law.

8 Pages

References in corpus (25)

• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Entanglement spectrum in one-dimensional systems
• Bipartite entanglement and entropic boundary law in lattice spin systems
• Entanglement entropy in fermionic Laughlin states
• Bipartite entanglement entropy in fractional quantum Hall states
• Ground-state phase diagram of a spin-1/2 frustrated ferromagnetic XXZ chain: Haldane dimer phase and gapped/gapless chiral phases
• Entanglement between Two Interacting CFTs and Generalized Holographic Entanglement Entropy
• Phase diagram of hard-core bosons on clean and disordered 2-leg ladders: Mott insulator - Luttinger liquid - Bose glass
• Improving entanglement and thermodynamic Rényi entropy measurements in quantum Monte Carlo
• Interactions along an Entanglement Cut in 2+1D Abelian Topological Phases
• From conformal to volume-law for the entanglement entropy in exponentially deformed critical spin 1/2 chains
• Bound states and entanglement in the excited states of quantum spin chains
• Z_3 symmetry-protected topological phases in the SU(3) AKLT model
• Momentum-Space Entanglement Spectrum of Bosons and Fermions with Interactions
• Explicit Hamiltonians Inducing Volume Law for Entanglement Entropy in Fermionic Lattices
• Edge-entanglement spectrum correspondence in a nonchiral topological phase and Kramers-Wannier duality
• Entanglement Entropy and Spectra of the One-dimensional Kugel-Khomskii Model
• Entanglement Thermodynamics
• Density-Matrix Renormalization Group Study of Extended Kitaev-Heisenberg Model
• Left-Right Entanglement Entropy of Boundary States
• Entanglement spectrum of the Heisenberg XXZ chain near the ferromagnetic point
• Entanglement Spectra of the quantum hard-square model: Holographic minimal models
• Entanglement Spectra of Heisenberg Ladders of higher Spin
• Entanglement Spectrum and Entanglement Hamiltonian of a Chern insulator with open boundaries
• Universal Finite-Size Corrections of the Entanglement Entropy of Quantum Ladders and the Entropic Area Law

Cited by in corpus (8)

• Entanglement Entropy of Cosmological Perturbations
• Generalized entanglement entropy
• Universal entanglement spectra in critical spin chains
• Momentum-space entanglement and Loschmidt echo in Luttinger liquids after a quantum quench
• Bulk Entanglement Spectrum in Gapped Spin Ladders
• Distilling momentum-space entanglement in Luttinger liquids at finite temperature
• Entanglement spectra of superconductivity ground states on the honeycomb lattice
• Phase Space Entanglement Spectrum