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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Symmetry adapted coherent states for three-level atoms interacting with one-mode radiation
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Symmetry adapted coherent states for three-level atoms interacting with one-mode radiation

机译：三能级原子与单模辐射相互作用的对称适应相干态

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摘要

We introduce a combination of coherent states as variational test functions for the atomic and radiation sectors to describe a system of N-a three-level atoms interacting with a one-mode quantised electromagnetic field, with and without the rotating wave approximation, which preserves the symmetry presented by the Hamiltonian. These provide us with the possibility of finding analytical solutions for the ground and first excited states. We study the properties of these solutions for the V-configuration in the double resonance condition, and calculate the expectation values of the number of photons, the atomic populations, the total number of excitations, and their corresponding fluctuations. We also calculate the photon number distribution and the linear entropy of the reduced density matrix to estimate the entanglement between matter and radiation. For the first time, we exhibit analytical expressions for all of these quantities, as well as an analytical description for the phase diagram in parameter space, which distinguishes the normal and collective regions, and which gives us all the quantum phase transitions of the ground state from one region to the other as we vary the interaction parameters (the matter-field coupling constants) of the model, in functional form.
机译：我们介绍相干态的组合作为原子和辐射区的变分测试函数，以描述一个具有单模量化电磁场且具有和不具有旋转波近似的相互作用的Na三能级原子系统，从而保持了所呈现的对称性由哈密尔顿这些为我们提供了寻找基态和初激发态的解析解的可能性。我们研究了在双共振条件下V构型的这些解的性质，并计算了光子数，原子总数，激发总数及其相应涨落的期望值。我们还计算了光密度分布和降低密度矩阵的线性熵，以估计物质与辐射之间的纠缠。首次，我们展示了所有这些量的解析表达式，以及参数空间中相图的解析描述，该相图区分了正常区域和集合区域，并为我们提供了基态的所有量子相变从一个区域到另一个区域，因为我们以函数形式更改了模型的交互参数（物质-场耦合常数）。

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