Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relaxation vs decoherence: Spin and current dynamics in the anisotropic
  Kondo model at finite bias and magnetic field   Using a nonequilibrium renormalization group method we study the real-time
evolution of spin and current in the anisotropic Kondo model (both
antiferromagnetic and ferromagnetic) at finite magnetic field $h_0$ and bias
voltage $V$. We derive analytic expressions for all times in the weak-coupling
regime $\max\{V,h_0,1/t\}\gg T_c$ ($T_c=$ strong coupling scale). We find that
all observables decay both with the spin relaxation and decoherence rates
$\Gamma_{1/2}$. Various $V$-dependent logarithmic, oscillatory, and power-law
contributions are predicted. The low-energy cutoff of logarithmic terms is
generically identified by the difference of transport decay rates. For small
times $t\ll \max\{V,h_0\}^{-1}$, we obtain universal dynamics for spin and
current.

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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin