Entanglement in a first-order quantum phase transition

2003/12/04 by J. Vidal, Julien Vidal, Rémy Mosseri +2 · 4 citations
Computer Science · Physics and Astronomy · #Concurrence #Condensed matter physics #Ferromagnetism #Ground state #Jump #Phase transition #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum critical point #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Quantum phases #Spins #cond-mat.str-el #quant-ph

paper · pdf · doi:10.1103/physreva.69.054101

published as Phys. Rev. A 69, 054101 (2004) · 4 pages, 3 EPS figures

arxiv created 2003/12/04 · openalex publication_date 2004/05/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We analyze the entanglement properties of the ground state for a system of spins half embedded in a magnetic field, mutually interacting antiferromagnetically. Contrary to the ferromagnetic case where a second-order quantum phase transition occurs, a first-order transition is obtained at zero field and the so-called concurrence which measures the two-spin entanglement displays a jump at the transition point.

Citations

• Validity of many-body approximation methods for a solvable model
• Universality of Entropy Scaling in One Dimensional Gapless Models
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Characterizing the entanglement of symmetric many-particle spin-12systems
• Die gegenw�rtige Situation in der Quantenmechanik
• Entanglement in a second-order quantum phase transition

Cited by

• Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
• Thermal entanglement of spins in mean-field clusters
• Entanglement in a molecular three-qubit system
• Reduced fidelity susceptibility and its finite-size scaling behaviors in the Lipkin-Meshkov-Glick model
• Estimating the best separable approximation of non-pure spin-squeezed states