Entanglement versus chaos in disordered spin chains

2003/10/31 by Lea F. Santos, L. F. Santos, G. Rigolin +2 · 9 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum many-body systems #quant-ph

paper · pdf · doi:10.1103/physreva.69.042304

published as Phys. Rev. A 69, 042304 (2004) · 7 pages, 4 figures, RevTex4, Published version

openalex publication_date 2004/04/09 · arxiv created 2004/04/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use a Heisenberg spin-1∕2 chain to investigate how chaos and localization may affect the entanglement of pairs of qubits. To measure how much entangled a pair is, we compute its concurrence, which is then analyzed in the delocalized (localized) and in the chaotic (nonchaotic) regimes. Our results indicate that chaos reduces entanglement and that entanglement decreases in the region of strong localization. In the transition region from a chaotic to a nonchaotic regime localization increases entanglement. We also show that entanglement is larger for strongly interacting qubits (nearest neighbors) than for weakly interacting qubits (next and next-next neighbors).

Citations

• Random Matrix Theories in Quantum Physics: Common Concepts
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Dynamics of Entanglement in Quantum Computers with Imperfections
• Discussion of Probability Relations between Separated Systems
• Entanglement of a Pair of Quantum Bits
• On the Einstein Podolsky Rosen paradox
• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
• Quantifying Entanglement

Cited by

• Decoherence of one-dimensional flying qubits due to their cross-talk and imperfections
• Entanglement, avoided crossings, and quantum chaos in an Ising model with a tilted magnetic field
• Constraint-Induced Delocalization
• Many-body localization: Transitions in spin models
• Constructive interference between disordered couplings enhances multiparty entanglement in quantum Heisenberg spin glass models
• Quantum chaos and thermalization in isolated systems of interacting particles
• Self-averaging in many-body quantum systems out of equilibrium: Approach to the localized phase
• Multifractality and self-averaging at the many-body localization transition
• Entanglement mean-field theory and the Curie-Weiss law