Entanglement and level crossings in frustrated ferromagnetic rings
arXiv:0811.3419 · doi:10.1103/PhysRevA.79.042317
Abstract
We study the entanglement content of a class of mesoscopic tunable magnetic systems. The systems are closed finite spin-1/2 chains with ferromagnetic nearest-neighbor interactions frustrated by antiferromagnetic next-nearest-neighbor interactions. The finite chains display a series of level crossings reflecting the incommensurate physics of the corresponding infinite-size chain. We present dramatic entanglement signatures characterizing these unusual level crossings. We focus on multi-spin and global measures of entanglement rather than only one-spin or two-spin entanglements. We compare and contrast the information obtained from these measures to that obtained from traditional condensed matter measures such as correlation functions.
6+ pages, 5 figures
References in corpus (27)
- Entanglement entropy of fermions in any dimension and the Widom conjecture
- Quantum Communication through Spin Chain Dynamics: an Introductory Overview
- Entanglement entropy of 2D conformal quantum critical points: hearing the shape of a quantum drum
- Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
- Vector chiral and multipolar orders in the spin-1/2 frustrated ferromagnetic chain in magnetic field
- Entanglement entropy in fermionic Laughlin states
- Ground-State Fidelity and Bipartite Entanglement in the Bose-Hubbard Model
- Entanglement scaling in critical two-dimensional fermionic and bosonic systems
- Quantum fidelity and quantum phase transitions in matrix product states
- Long-distance entanglement in spin systems
- Quantum phase transitions and quantum fidelity in free fermion graphs
- Ground-state fidelity in one-dimensional gapless model
- Frustrated ferromagnetic spin-1/2 chain in a magnetic field: The phase diagram and thermodynamic properties
- Long-distance entanglement and quantum teleportation in XX spin chains
- Multi-magnon bound states in the frustrated ferromagnetic 1D chain
- Divergence of the entanglement range in low dimensional quantum systems
- Correlation functions and excitation spectrum of the frustrated ferromagnetic spin-1/2 chain in an external magnetic field
- Zigzag spin chains with antiferromagnetic-ferromagnetic interactions: Transfer-matrix renormalization group study
- Quantum Many-Body Dynamics of Coupled Double-Well Superlattices
- Universal and measurable entanglement entropy in the spin-boson model
- Thermodynamics of a one-dimensional frustrated spin-1/2 Heisenberg ferromagnet
- Entanglement in the Majumdar-Ghosh model
- Entanglement properties and moment distributions of a system of hard-core anyons on a ring
- Particle partitioning entanglement in itinerant many-particle systems
- Entanglement and quantum phase transitions in matrix product spin one chains
- Nematic order in the multiple-spin exchange model on the triangular lattice
- Exact degenerate ground states for the F-AF spin chain with bond alternation