Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dissipative dynamics of a biased qubit coupled to a harmonic oscillator:
  Analytical results beyond the rotating wave approximation   We study the dissipative dynamics of a biased two-level system (TLS) coupled
to a harmonic oscillator (HO), the latter interacting with an Ohmic
environment. Using Van-Vleck perturbation theory and going to second order in
the coupling between TLS and HO, we show how the Hamiltonian of the TLS-HO
system can be diagonalized analytically. Our model represents an improvement to
the usually used Jaynes-Cummings Hamiltonian as an initial rotating wave
approximation is avoided. By assuming a weak coupling to the thermal bath,
analytical expressions for the time evolution of the populations of the TLS are
found: the population is characterized by a multiplicity of damped oscillations
together with a complex relaxation dynamics towards thermal equilibrium. The
long time evolution is characterized by a single relaxation rate, which is
largest at resonance and whose expression can be given in closed analytic form.

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The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
16
The categories of this paper are: stat
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The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys