Entanglement probe of two-impurity Kondo physics in a spin chain

Abstract

We propose that real-space properties of the two-impurity Kondo model can be obtained from an effective spin model where two single-impurity Kondo spin chains are joined via an RKKY interaction between the two impurity spins. We then use a DMRG approach, valid in all ranges of parameters, to study its features using two complementary quantum-entanglement measures, the negativity and the von Neumann entropy. This non-perturbative approach enables us to uncover the precise dependence of the spatial extent ${\xi }_K$ of the Kondo screening cloud with the Kondo and RKKY couplings. Our results reveal an exponential suppression of the Kondo temperature $T_K\sim 1/{\xi }_K$ with the size of the effective impurity spin in the limit of large ferromagnetic RKKY coupling, a striking display of "Kondo resonance narrowing" in the two-impurity Kondo model. We also show how the antiferromagnetic RKKY interaction produces an effective decoupling of the impurities from the bulk already for intermediate strengths of this interaction, and, furthermore, exhibit how the non-Fermi liquid quantum critical point is signaled in the quantum entanglement between various parts of the system.

5 pages, 5 figures

References in corpus (6)

• A Tunable Two-impurity Kondo system in an atomic point contact
• Quantum criticality in a double quantum-dot system
• Kondo resonance narrowing in d- and f-electron systems
• Kondo Effect in Spin Chains
• Impurity entanglement entropy in Kondo systems from conformal field theory
• Conductance of a molecule with a center of mass motion

Cited by in corpus (77)

• Quantum entanglement in condensed matter systems
• Entanglement negativity in extended systems: A field theoretical approach
• Finite temperature entanglement negativity in conformal field theory
• Partial time-reversal transformation and entanglement negativity in fermionic systems
• Entanglement negativity after a global quantum quench
• The entanglement negativity in random spin chains
• Entanglement negativity in the critical Ising chain
• Entanglement negativity of fermions: monotonicity, separability criterion, and classification of few-mode states
• Entanglement negativity after a local quantum quench in conformal field theories
• Symmetry decomposition of negativity of massless free fermions
• Entanglement entropy and negativity of disjoint intervals in CFT: Some numerical extrapolations
• Twisted and untwisted negativity spectrum of free fermions
• Negativity spectrum of one-dimensional conformal field theories
• Quantum information dynamics in multipartite integrable systems
• Entanglement spectrum degeneracy and Cardy formula in 1+1 dimensional conformal field theories
• Many-body Localization Transition: Schmidt Gap, Entanglement Length & Scaling
• An order parameter for impurity systems at quantum criticality
• Topological entanglement negativity in Chern-Simons theories
• Towards entanglement negativity of two disjoint intervals for a one dimensional free fermion
• Finite-temperature entanglement negativity of free fermions
• Entanglement negativity spectrum of random mixed states: A diagrammatic approach
• Spin structures and entanglement of two disjoint intervals in conformal field theories
• Quantum spins on star graphs and the Kondo model
• Entanglement negativity in a two dimensional harmonic lattice: Area law and corner contributions
• Renyi Entanglement Entropy of Interacting Fermions Calculated Using Continuous-Time Quantum Monte Carlo Method
• Entanglement structure of the two-channel Kondo model
• Explicit Hamiltonians Inducing Volume Law for Entanglement Entropy in Fermionic Lattices
• Lindblad master equation approach to the topological phase transition in the disordered Su-Schrieffer-Heeger model
• Scaling of tripartite entanglement at impurity quantum phase transitions
• Macroscopic Quantum Entanglement of a Kondo Cloud at Finite Temperature
• The fate of the Kondo cloud in a superconductor
• Negativity spectrum in 1D gapped phases of matter
• The Negativity Hamiltonian: An operator characterization of mixed-state entanglement
• Characterization of an operational quantum resource in a critical many-body system
• Multiparameter critical quantum metrology with impurity probes
• Negativity Spectrum in the Random Singlet Phase
• Entanglement in quantum impurity problems is non perturbative
• Nonequilibrium critical scaling from quantum thermodynamics
• The negativity contour: a quasi-local measure of entanglement for mixed states
• Entanglement negativity in free-fermion systems: An overlap matrix approach
• Logarithmic negativity in out-of-equilibrium open free-fermion chains: An exactly solvable case
• From four- to two-channel Kondo effect in junctions of XY spin chains
• Universal entanglement crossover of coupled quantum wires
• Entanglement and classical fluctuations at finite-temperature critical points
• Entanglement entropy and negativity in the Ising model with defects
• Entanglement switching via the Kondo effect in triple quantum dots
• Tunable Kondo screening length at a Y-junction of three inhomogenous spin chains
• Universal Thermal Entanglement of Multichannel Kondo Effects
• Mutual information, quantum phase transition, and phase coherence in Kondo systems
• Universal corrections to the entanglement entropy in gapped quantum spin chains: a numerical study
• Entanglement entropy after selective measurements in quantum chains
• Numerical renormalization group method for entanglement negativity at finite temperature
• Entanglement based observables for quantum impurities
• Multipartite entanglement and quantum Fisher information in conformal field theories
• Spin relaxation via exchange with donor impurity-bound electrons
• Universal Single-Frequency Oscillations in a Quantum Impurity System After a Local Quench
• Nonlocal Entanglement of 1D Thermal States Induced by Fermion Exchange Statistics
• Entanglement Rényi Negativity of Interacting Fermions from Quantum Monte Carlo Simulations
• From Kondo effect to weak-link regime in quantum spin-1/2 spin chains
• Symmetry resolution of the computable cross-norm negativity of two disjoint intervals in the massless Dirac field theory
• Amplified multipartite entanglement witnessed in a quantum critical metal
• Engineering the Kondo impurity problem with alkaline-earth atom arrays
• Kondo Length in Bosonic Lattices
• Magnetic field-dependent dynamics and field-driven metal-to-insulator transition of the half-filled Hubbard model: A DMFT+DMRG study
• Scale Invariant Entanglement Negativity at the Many-Body Localization Transition
• Chiral fixed point in a junction of critical spin-1 chains
• Quench dynamics of Rényi negativities and the quasiparticle picture
• SU(4) Kondo entanglement in double quantum dot devices
• System-bath entanglement of noninteracting fermionic impurities: Equilibrium, transient, and steady-state regimes
• Symmetry protected entanglement in random mixed states
• Coherent exchange-coupled nonlocal Kondo impurities
• Quasiparticle mass enhancement as a measure of entanglement in the Kondo problem
• Two-spin entanglement induced by scattering of backscattering-free chiral electrons in a chern insulator
• Ballistic Entanglement Cloud after a Boundary Quench
• Fermionic Partial Transpose in the Overlap Matrix Framework for Entanglement Negativity
• Entanglement of magnetic impurities through electron scattering in an electric field
• Quantum and classical correlations and Werner states in finite spin linear arrays