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We analyze the single-channel Kondo model using the recently developedunitary renormalization group (URG) method, and obtain a comprehensiveunderstanding of the Kondo screening cloud. The fixed-point low-energyHamiltonian enables the computation of a plethora of thermodynamic quantities(specific heat, susceptibility, Wilson ratio, etc.) as well as spectralfunctions, all of which are found to be in excellent agreement with knownresults. By integrating out the impurity, we obtain an effective Hamiltonianfor the excitations of the electrons comprising the Kondo cloud. This is foundto contain both k-space number-diagonal (Fermi liquid) as well off-diagonalfour-fermion scattering terms. Our conclusions are reinforced by a URG study ofthe two-particle entanglement and many-body correlations among members of theKondo cloud and impurity. The entanglement between the impurity and a cloudelectron, as well as between any two cloud electrons, is found to increaseunder flow towards the singlet ground state at the strong-coupling fixed point.Both the number-diagonal and off-diagonal correlations within the conductioncloud are also found to increase as the impurity is screened under the flow,and the latter are found to be responsible for the macroscopic entanglement ofthe Kondo-singlet ground state. The unitary RG flow enables an analyticcomputation of the phase shifts suffered by the conduction electrons at thestrong-coupling fixed point. This reveals an orthogonality catastrophe betweenthe local moment and strong-coupling ground states, and is related to a changein the Luttinger volume of the conduction bath. Our results offer fresh insighton the nature of the emergent many-particle entanglement within the Kondocloud, and pave the way for further investigations in more exotic contexts suchas the fixed point of the over-screened multi-channel Kondo problem.

Unveiling the Kondo cloud: unitary RG study of the Kondo model