Level configuration and transitions in the dressed state picture, the microwave field
Ω
2
causes resonant transitions among states
|
gg
,
00
〉
,
|
S
,
00
〉
, and
|
ff
,
00
〉
in null excitation subspace by choosing the frequency suitably, while microwave field
Ω
1
causes resonant transitions forming the following four preparation channels: (a)
|
gg
,
00
〉
⇔
{
|
ϕ
3
〉
,
|
ϕ
4
〉
}
with
ω
1
=
ω
e
−
J
2
+
g
2
, (b)
|
gg
,
00
〉
⇔
{
|
ϕ
5
〉
,
|
ϕ
6
〉
}
with
ω
1
=
ω
e
, (c)
|
S
,
00
〉
⇔
|
ϕ
9
〉
with
ω
1
=
ω
e
+
J
2
+
4
g
2
/
2
−
J
/
2
, and (d)
|
S
,
00
〉
⇔
|
ϕ
10
〉
with
ω
1
=
ω
e
−
J
2
+
4
g
2
/
2
−
J
/
2
, respectively, but the transitions from
|
T
,
00
〉
to the states in the one excitation subspace is non-resonant. The notations
ξ
1
and
ξ
2
in the figure are defined as
ξ
1
=
J
2
+
4
g
2
/
2
-
J
/
2
and
ξ
2
=-
J
2
+
4
g
2
/
2
−
J
/
2
.
|