Entanglement properties of quantum spin chains

Abstract

We investigate the entanglement properties of a finite size 1+1 dimensional Ising spin chain, and show how these properties scale and can be utilized to reconstruct the ground state wave function. Even at the critical point, few terms in a Schmidt decomposition contribute to the exact ground state, and to physical properties such as the entropy. Nevertheless the entanglement here is prominent due to the lower-lying states in the Schmidt decomposition.

5 pages, 6 figures

References in corpus (9)

• The density-matrix renormalization group
• Entanglement Entropy and Quantum Field Theory
• Entanglement in quantum critical phenomena
• Scaling of Entanglement close to a Quantum Phase Transitions
• Entanglement in a simple quantum phase transition
• Universality of Entropy Scaling in 1D Gap-less Models
• Fine-grained entanglement loss along renormalization group flows
• Entanglement in bosonic systems
• Entanglement used to identify critical systems

Cited by in corpus (3)

• Non-local correlations in the Haldane phase for an XXZ spin-1 chain: A perspective from infinite matrix product state representation
• Increasing entanglement through engineered disorder in the random Ising chain
• Entanglement and its applications in systems with many degrees of freedom