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The Anderson impurity model is a paradigmatic example in the study of strongly correlated quantum systems and describes an interacting quantum dot coupled to electronic leads. In this work, we characterize the emergence of the Kondo effect…

Strongly Correlated Electrons · Physics 2024-03-05 Matteo M. Wauters , Chia-Min Chung , Lorenzo Maffi , Michele Burrello

Quantum entanglement entropy has a geometric character. This is illustrated by the interpretation of Rindler space or black hole entropy as entanglement entropy. In general, one can define a "geometric entropy", associated with an event…

Quantum Physics · Physics 2007-05-23 Jose Gaite

We present the modified relative entropy of entanglement (MRE) in order to both improve the computability for the relative entropy of entanglement and avoid the problem that the entanglement of formation seems to be greater than…

Quantum Physics · Physics 2007-05-23 An Min Wang

In this article, we investigate the problem of entanglement characterization with polarization measurements combined with maximum likelihood estimation (MLE). A realistic scenario is considered with measurement results distorted by random…

Quantum Physics · Physics 2022-01-03 Artur Czerwinski

Entanglement renormalization can be viewed as an encoding circuit for a family of approximate quantum error correcting codes. The logical information becomes progressively more well-protected against erasure errors at larger length scales.…

Quantum Physics · Physics 2017-04-14 Isaac H. Kim , Michael J. Kastoryano

We analyze the quantum entanglement between opposite spin projection electrons in the ground state of the Anderson impurity model. In this model, a single level impurity with intralevel repulsion U is tunnel coupled to a free electron gas.…

Strongly Correlated Electrons · Physics 2020-11-19 Nayra A. Álvarez Pari , D. J. García , Pablo S. Cornaglia

Quantum systems can be used as probes in the context of metrology for enhanced parameter estimation. In particular, the delicacy of critical systems to perturbations can make them ideal sensors. Arguably the simplest realistic probe system…

Quantum Physics · Physics 2024-07-04 George Mihailescu , Abolfazl Bayat , Steve Campbell , Andrew K. Mitchell

In this paper, we introduce a tensor network (TN) scheme into the entanglement augmentation process of the synergistic optimization framework by Rudolph et al. [arXiv:2208.13673] to build its process systematically for inhomogeneous…

Quantum Physics · Physics 2024-06-14 Ryo Watanabe , Keisuke Fujii , Hiroshi Ueda

Electron tunneling through a double quantum dot molecule, in the Kondo regime, under the effect of a magnetic field and an applied voltage, is studied. This system possesses a complex response to the applied fields characterized by a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Gustavo. A. Lara , Pedro A. Orellana , Enrique V. Anda

We employ the Multiscale Entanglement Renormalization Ansatz (MERA) tensor network to investigate a critical line of continuous quantum phase transitions of the $\mathbb{Z}_3$ chiral clock model. This critical line is believed to be…

Statistical Mechanics · Physics 2026-04-23 Shiyong Guo , Brian Swingle

Impurity four- and six-level Kondo model, in which an ion is tunneling among four- and six-stable points and interacting with surrounding conduction electrons, are investigated by using the perturbative and numerical renormalization group…

Strongly Correlated Electrons · Physics 2015-06-25 Kazumasa Hattori , Yosuke Hirayama , Kazumasa Miyake

Renormalization group (RG) methods, which model the way in which the effective behavior of a system depends on the scale at which it is observed, are key to modern condensed-matter theory and particle physics. We compare the ideas behind…

Quantum Physics · Physics 2013-03-14 Cédric Bény

Motivated by recent STM experiments, we explore the magnetic field induced Kondo effect that takes place at symmetry protected level crossings in finite Co adatom chains. We argue that the effective two-level system realized at a level…

Strongly Correlated Electrons · Physics 2019-10-30 Bimla Danu , Fakher Assaad , Frédéric Mila

We study how the formation of the Kondo compensation cloud influences the dynamical properties of a magnetic impurity that tunnels between two positions in a metal. The Kondo effect dynamically generates a strong tunneling…

Strongly Correlated Electrons · Physics 2007-05-23 L. Borda , G. Zarand

We develop a systematic framework for computing symmetry-resolved entanglement entropies (SREE) in charged quantum systems based on an improved heat kernel approach. Although the conventional Sommerfeld formula proves effective for neutral…

High Energy Physics - Theory · Physics 2026-05-08 Yuan-Chun Jing , Chao Niu , Zhuo-Yu Xian

Magnetic anisotropy is a key feature of rare earth materials from permanent magnets to heavy fermions. We explore the complex interplay of Kondo physics and anisotropy, and their effect on different experimental probes of magnetic…

Strongly Correlated Electrons · Physics 2025-10-21 M. Kornjača , R. Flint

We consider a triple quantum dot system in a triangular geometry with one of the dots connected to metallic leads. Using Wilson's numerical renormalization group method, we investigate quantum entanglement and its relation to the…

Strongly Correlated Electrons · Physics 2015-06-15 S. B. Tooski , A. Ramsak , R. Zitko , B. R. Bulka

The Kondo effect may develop in those cases where there are non-commuting operators describing the interaction between the conduction electrons and impurities or defects with internal degrees of freedom. This interaction may involve spin or…

Strongly Correlated Electrons · Physics 2015-06-24 O. Újsághy , G. Zaránd , A. Zawadowski

We describe an algorithm to simulate time evolution using the Multi-scale Entanglement Renormalization Ansatz (MERA) and test it by studying a critical Ising chain with periodic boundary conditions and with up to L ~ 10^6 quantum spins. The…

Quantum Physics · Physics 2008-06-09 Matteo Rizzi , Simone Montangero , Guifre' Vidal

We analyze the single-channel Kondo model using the recently developed unitary renormalization group (URG) method, and obtain a comprehensive understanding of the Kondo screening cloud. The fixed-point low-energy Hamiltonian enables the…

Strongly Correlated Electrons · Physics 2022-02-18 Anirban Mukherjee , Abhirup Mukherjee , N. S. Vidhyadhiraja , A. Taraphder , Siddhartha Lal