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Modern Physics Letters B

Coherence of two-level atoms within cavity QED

Shuang Li, Jiadong Shi, Wen‐Yang Sun, Dong Wang, Liu Ye

Published Nov 28, 2017• 0 citations
Publisher

Abstract

In this work, we investigate the dynamics of the coherence of two atoms trapped in one cavity with resonance and large detuned characters, respectively. By means of tracing over the freedom of the cavity, the evolution coherent state can be obtained. Subsequently, the coherence within the two different scenarios is discussed. Remarkably, an interesting result is obtained as the coherence can be enhanced to a large extent in the framework of large detuning. Besides, we find that there exists a distinctive phenomenon of recovery of the coherence with the interaction time of atom–cavity.

DOI
10.1142/s0217984917503304

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In this work, we investigate the dynamics of the coherence of two atoms trapped in one cavity with resonance and large detuned characters, respectively. By means of tracing over the freedom of the cavity, the evolution coherent state can be obtained. Subsequently, the coherence within the two different scenarios is discussed. Remarkably, an interesting result is obtained as the coherence can be enhanced to a large extent in the framework of large detuning. Besides, we find that there exists a distinctive phenomenon of recovery of the coherence with the interaction time of atom–cavity.
The properties of state evolution of the atom,field,and atom-field system in the system of two two-level atoms inside a phase-damping cavity interaction with a coherent field under the condition of large detuning are investigated by using the distance between density operators.The effects of the mean photon number of the filed and the phase damping on the dynamical behaviour in the system are discussed.The results show that the cavity phase damping can change the characters of the distance between density operators of the field and the atom-field system significantly,but the state evolution of the atom is independent of the cavity phase damping.
We consider a system consisting of two two-level atoms interacting with two coupled cavities via a two-photon hopping.Two atoms are individually trapped in two coupled cavities.The evolution of the state vector of the system is given by solving the Schrodinger equation.Negativity is used to quantify the degree of entanglement.By means of the numerical calculations,we investigate the temporal evolution in the entanglement between atoms and that between atom and cavity.Through comparing the results of different cavity-cavity coupling coefficients,the influence of cavity-cavity coupling coefficient on the entanglement is discussed.The obtained results show that the atom-atom entanglement and atom-cavity entanglement both display the evolution which is from the irregular oscillations to quasi-periodic oscillation with the cavity-cavity coupling coefficient increasing.The average value of atom-atom entanglement and that of atom-cavity entanglement sometimes increase and sometimes decrease.It shows that there is non-linear relationship between atom-atom entanglement and cavity-cavity coupling coefficient,or between atom-cavity entanglement and cavity-cavity coupling coefficient.On the other hand,when the cavity-cavity coupling coefficient is small,the entanglement between atom and cavity exhibits the phenomenon of collapse and recovery.
In the context of cavity quantum electrodynamics (QED),a potential scheme is proposed to generate entangled coherent states. The scheme includes twice interactions of two-level atoms with cavities. In the first interaction,two atoms are sent into a microwave cavity with the large detuning respectively. And then the second interaction is that the two atoms enter another microwave cavity and are driven by a resonant classical field meantime. When we choose the proper interaction time and make measurement on the two atoms,the two microwave cavity mode fields are determinatively entangled. In addition,it is easy to generalize the scheme to multi-cavity and multi-atom.