Entanglement, fractional magnetization and long-range interactions

Abstract

Based on the theory of Matrix Product States, we give precise statements and complete analytical proofs of the following claim: a large fractionalization in the magnetization or the need of long-range interactions imply large entanglement in the state of a quantum spin chain.

11 pages, 1 figure

References in corpus (6)

• Matrix product states represent ground states faithfully
• String order and symmetries in quantum spin lattices
• Entropy and Entanglement in Quantum Ground States
• Measuring entanglement using quantum quenches
• Matrix Product States: Symmetries and Two-Body Hamiltonians
• Random Unitaries Give Quantum Expanders

Cited by in corpus (2)

• Topological phases in ultracold polar-molecule quantum magnets
• Entanglement entropy of the long-range Dyson hierarchical model