Entanglement versus energy in quantum spin models

Abstract

We study entanglement properties of all eigenstates of the Heisenberg XXX model, and find that the entanglement and mixedness for a pair of nearest-neighbor qubits are completely determined by the corresponding eigenenergies. Specifically, the negativity of the eigenenergy implies pairwise entanglement. From the relation between entanglement and eigenenergy, we obtain finite-size behaviors of the entanglement. We also study entanglement and mixedness versus energy in the quantum Heisenberg XY model.

4 pages, 4 figures

References in corpus (3)

• Entanglement and the Phase Transition in Single Mode Superradiance
• Entanglement in a second order quantum phase transition
• Stability of global entanglement in thermal states of spin chains

Cited by in corpus (5)

• Thermal entanglement in the nanotubular system Na_2V_3O_7
• Entanglement in spin-one Heisenberg chains
• Energy dependence of the entanglement entropy of composite boson (quasiboson) systems
• Two-spin subsystem entanglement in spin 1/2 rings with long range interactions
• Entanglement oscillations in open Heisenberg chains