Quantum entanglement in a pure state of strongly correlated quantum impurity systems
arXiv:2404.18387 · doi:10.1103/PhysRevB.111.035112
Abstract
We consider quantum entanglement in strongly correlated quantum impurity systems for states manifesting interesting properties such as multi-level Kondo effect and dual nature between itineracy and localization etc.. For this purpose, we set up a system consisting of one or two quantum impurities arbitrarily selected from the system as a subsystem, and investigate quantum entanglement with its environmental system. We reduce the pure state of interest as described above to the subsystem, and formulate quantum informative quantities such as entanglement entropy, mutual information and relative entropy. We apply them to quantum impurity systems consisting of several sites and the single impurity Anderson model to study the relationship between their states and the behaviors of quantum informative quantities. The obtained results suggest that the method proposed here is promising for elucidating the quantum entanglement of pure states in various quantum impurity systems.
References in corpus (39)
- Distributed Entanglement
- Kondo Physics in a Single Electron Transistor
- A Tunable Kondo Effect in Quantum Dots
- From the Kondo Regime to the Mixed-Valence Regime in a Single-Electron Transistor
- Quantum entanglement in condensed matter systems
- General Monogamy Inequality for Bipartite Qubit Entanglement
- Kondo effect in an integer-spin quantum dot
- Observation of the two-channel Kondo effect
- Two-channel Kondo effect and renormalization flow with macroscopic quantum charge states
- Entanglement entropy in quantum impurity systems and systems with boundaries
- Strongly correlated regimes in a double quantum-dot device
- Nagaoka ferromagnetism observed in a quantum dot plaquette
- Entanglement between a qubit and the environment in the spin-boson model
- Entanglement and Criticality in Quantum Impurity Systems
- Quantum Impurity Entanglement
- Kondo effects in a triangular triple quantum dot: NRG study in the whole region of the electron filling
- Two-stage Kondo effect in side-coupled quantum dots: Renormalized perturbative scaling theory and Numerical Renormalization Group analysis
- Two-stage Kondo effect in a four-electron artificial atom
- Numerical renormalization group approach to a quartet quantum-dot array connected to reservoirs:gate-voltage dependence of the conductance
- Spin qubits in double quantum dots - entanglement versus the Kondo effect
- Entanglement in quantum impurity problems is non perturbative
- Universal features of entanglement entropy in the honeycomb Hubbard model
- Impurity entanglement entropy in Kondo systems from conformal field theory
- Determination of the phase shifts for interacting electrons connected to reservoirs
- Two-Stage Kondo Effect and Kondo Box Level Spectroscopy in a Carbon Nanotube
- Iron phthalocyanine on Au(111) is a "non-Landau" Fermi liquid
- Ferromagnetism in Quantum Dot Plaquettes
- Entanglement entropy and computational complexity of the Anderson impurity model out of equilibrium I: quench dynamics
- Long-range entanglement near a Kondo-destruction quantum critical point
- Fermi Liquids and the Luttinger Integral
- Topological quantum phase transition between Fermi liquid phases in an Anderson impurity model
- Entanglement based observables for quantum impurities
- Numerical renormalization group method for entanglement negativity at finite temperature
- Magnetic field induced quantum criticality and the Luttinger sum rule
- Manipulability of the Kondo effect in a T-shaped triple-quantum-dot structure
- Hierarchical entanglement shells of multichannel Kondo clouds
- Topological quantum phase transition in individual Fe Atoms on MoS/Au(111)
- Entanglement entropy and computational complexity of the Anderson impurity model out of equilibrium II: driven dynamics
- Kondo effect in Lieb's ferrimagnetic system on the T-shaped bipartite lattice