Quantum dynamics of a driven parametric oscillator in a Kerr medium
- URL: http://arxiv.org/abs/2306.02249v1
- Date: Sun, 4 Jun 2023 03:44:37 GMT
- Title: Quantum dynamics of a driven parametric oscillator in a Kerr medium
- Authors: E. Bolandhemmat and F. Kheirandish
- Abstract summary: We show that the evolution operator can be obtained from the evolution operator of another parametric oscillator with a constant mass and time-dependent frequency.
In the following, to investigate the characteristics and statistical properties of the generated states, we calculate the autocorrelation function, the Mandel $Q$ parameter, and the Husimi $Q$-function.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In this paper, we first analyze a parametric oscillator with both mass and
frequency time-dependent. We show that the evolution operator can be obtained
from the evolution operator of another parametric oscillator with a constant
mass and time-dependent frequency followed by a time transformation
$t\rightarrow\int_0^t dt'\,1/m(t')$. Then we proceed by investigating the
quantum dynamics of a parametric oscillator with unit mass and time-dependent
frequency in a Kerr medium under the influence of a time-dependent force along
the motion of the oscillator. The quantum dynamics of the time-dependent
oscillator is analyzed from both analytical and numerical points of view in two
main regimes: (i) small Kerr parameter $\chi$, and (ii) small confinement
parameter $k$. In the following, to investigate the characteristics and
statistical properties of the generated states, we calculate the
autocorrelation function, the Mandel $Q$ parameter, and the Husimi
$Q$-function.
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