Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytical solutions for the Rabi model   The Rabi model that describes the fundamental interaction between a two-level
system with a quantized harmonic oscillator is one of the simplest and most
ubiquitous models in modern physics. However, this model has not been solved
exactly because it is hard to find a second conserved quantity besides the
energy. Here we present a unitary transformation to map this unsolvable Rabi
model into a solvable Jaynes-Cummings-like model by choosing a proper variation
parameter. As a result, the analytical energy spectrums and wavefunctions
including both the ground and the excited states can be obtained easily.
Moreover, these explicit results agree well with the direct numerical
simulations in a wide range of the experimental parameters. In addition, based
on our obtained energy spectrums, the recent experimental observation of
Bloch-Siegert in the circuit quantum electrodynamics with the ultrastrong
coupling can be explained perfectly. Our results have the potential application
in the solid-state quantum information processing.

20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat