# QuTiP-package applications to five-level atom with one mode

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## Abstract

In this poster, we apply the Quantum Toolbox in Python (QuTiP) to study the interaction between a five-level atom and a single-mode cavity field. The non-classical statistical aspects such as the Mandel *Q* parameter, squeezing parameter, and linear entropy are investigated.

## Keywords

QuTiP Five-level atom Non-classical aspects## 1 Introduction

The high-performance computers need the high-performance software. Until recently, Fortran and C++ are still a good software to develop high-performance programs but complicated codes. Recently, the high-level programming language Python has emerged as an alternative to compiled languages. Since that, many programs have been built to solve many mathematical problems. The quantum optics and information are the one of these problems which can be solved by Python codes. For this reason, Johansson et al. [1] have presented an object-oriented open-source framework for solving the dynamics of open quantum systems written in Python, which is called Quantum Toolbox in Python (QuTiP). It is open-source software for calculations and numerical simulations of dynamics of open quantum systems. Lately, we [2] study a double \(\Lambda \)-type five-level atom interacting with a single-mode electromagnetic cavity field in the (off) non-resonate case. In this poster, we present a very simple code by QuTiP to investigate the non-classical aspects for the double \(\Lambda \) five-level atom interacting with a single-mode cavity field. The aim of this poster is describe an effective Python code using QuTiP to study the interaction between a five-level atom and a single-mode cavity field. For more information about QuTiP, see the project web page: http://qutip.org/.

## 2 Setup the Hamiltonian model, operators, and initial state

In the following section. we shall investigate numerically the effect of the detuning on the dynamical behavior of collapse and revival, second-order correlation function, the Mandel *Q* function, the normal squeezing, and the linear entropy.

## 3 Collapse and revival phenomena

## 4 Calculate second-order correlation function

## 5 Mandel *Q* function

*Q*parameter which is given by

## 6 Calculate normal squeezing

*y*direction is defined as (Fig. 4):

## 7 Linear entropy

## 8 Conclusions

In this poster, the interaction between a five-level atom and a single-mode electromagnetic cavity field has been studied using QuTiP. We investigate the collapse-revival, the anti-bunching, the normal squeezing, and the linear entropy using the Python code when the input field is in a coherent state and squeezing state.

## References

- 1.Johansson, J.R., et al.: QuTiP 2: a Python framework for the dynamics of open quantum systems. Comp. Phys. Commun.
**183**, 1760 (2012)CrossRefGoogle Scholar - 2.Abdel-Wahab, N.H., Salah, A.: Dynamic evolution of double five-level atom interacting with one-mode electromagnetic cavity field. Pramana J Phys
**89**, 87 (2017)CrossRefGoogle Scholar