Abstract
In this paper, we present an analytical solution for the system of two-level semiconductor quantum dot. In addition, we discuss the rates of the photon radiative and phonon radiationless transitions from the excited state
(
α
12
,
α
21
)
,
the rate of processes of pure dephasing
(
γ
)
, the detuning parameter (
Δ
) and the Rabi frequency (
Ω
), on the atomic occupation probabilities (
ρ
11
(
t
)
and
ρ
22
(
t
)
)
,
the atomic population inversion (
ρ
z
(
t
)
)
,
the purity (
P
A
(
t
)
)
,
the von Neumann entropy (
S
(
t
)) and the information entropies (
H
(
σ
x
)
,
H
(
σ
y
)
and
H
(
σ
z
)
)
. We clearly observe the emergence of long-lived quantum coherence phenomenon in all the curves for some special cases of
α
12
,
α
21
,
γ
,
Δ
and
Ω
.
Besides, the decay phenomenon is quite evident in the purity curves, which can be simply controlled by changing the values of
α
12
,
α
21
and
γ
.