Entanglement Scaling in the One-Dimensional Hubbard Model at Criticality

2005/06/30 by Daniel Larsson, Henrik Johannesson · 2 citations
Computer Science · Physics and Astronomy · #Condensed matter physics #Electron #Entropy (arrow of time) #Ground state #Hubbard model #Logarithm #Mathematical physics #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Scaling #Strongly correlated material #Superconductivity #cond-mat.stat-mech #cond-mat.str-el #quant-ph

paper · pdf · doi:10.1103/physrevlett.95.196406

published as Phys. Rev. Lett. 95, 196406 (2005) · 4+ pages, 2 figures. Fig. 2 and minor typos corrected

openalex publication_date 2005/11/03 · arxiv created 2006/03/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We derive exact expressions for the local entanglement entropy E in the ground state of the one-dimensional Hubbard model at a quantum phase transition driven by a change in magnetic field h or chemical potential \ensuremathμ. The leading divergences of \ensuremath∂E/\ensuremath∂h and \ensuremath∂E/\ensuremath∂\ensuremathμ are shown to be directly related to those of the zero-temperature spin and charge susceptibilities. Logarithmic corrections to scaling signal a change in the number of local states accessible to the system as it undergoes the transition.

Citations

• 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
• On the Einstein Podolsky Rosen paradox

Cited by

• Entanglement modes and topological phase transitions in superconductors
• Feasibility of approximating spatial and local entanglement in long-range interacting systems using the extended Hubbard model