Entanglement signatures of the quantum phase transition induced by a magnetic impurity in a superconductor

Abstract

The insertion of a magnetic impurity in a superconductor induces a first order quantum phase transition as the coupling to the electronic spin density increases. As the transition is crossed, a discontinuity is exhibited by various quantities, like the total spin density, the total gap function and the gap function at the impurity location. The location of other quantum phase transitions have been detected by singularities in entanglement measures of the system. In this work we show that the single-site and two-site von Neumann entropies, the mutual information and the Meyer-Wallach measure show discontinuities at the quantum phase transition. The negativity is less sensitive to the transition. We study in detail these quantities as a function of spin coupling and distance from the impurity center.

arXiv comment14 pages, 12 figures

References in corpus (27)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• A computable measure of entanglement
• Distributed Entanglement
• The Role of Relative Entropy in Quantum Information Theory
• Thermodynamic limit of the density matrix renormalization for the spin-1 Heisenberg chain
• Violation of Bell inequalities by photons more than 10 km apart
• New features of FORM
• Global entanglement in multiparticle systems
• A class of ansatz wave functions for 1D spin systems and their relation to DMRG
• Entanglement and quantum phase transition in the extended Hubbard model
• Local entanglement and quantum phase transition in the Hubbard model
• Spectral Properties of Quasiparticle Excitations Induced by Magnetic Moments in Superconductors
• Entanglement, quantum phase transition and scaling in XXZ chain
• Multipartite Entanglement Signature of Quantum Phase Transitions
• High Temperature Macroscopic Entanglement
• Entanglement Scaling in the One-Dimensional Hubbard Model at Criticality
• Entanglement entropy in collective models
• Genuine Multipartite Entanglement in Quantum Phase Transitions
• The ground state entanglement in the $XXZ$ model
• Concurrence in collective models
• Quantum Interference between Impurities: Creating Novel Many-Body States in s-wave Superconductors
• Impurities, Quantum Interference and Quantum Phase Transitions in s-wave superconductors
• Natural multiparticle entanglement in a Fermi gas
• Superconducting Quantum Critical Point
• Entanglement of electron spins in superconductors
• Mean Field Approximations and Multipartite Thermal Correlations
• Magnetic impurities in a superconductor: Effect of domain walls and interference

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• Magnetic chains on a triplet superconductor
• Supercurrent induced domain wall motion
• Zero energy modes in a superconductor with ferromagnetic adatom chains and quantum phase transitions
• Critical Quantum Sensing: a tutorial on parameter estimation near quantum phase transitions
• Spectral properties of superconductors with ferromagnetically ordered magnetic impurities