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arXiv 0909.3322quant-ph
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Tavis-Cummings基态的投影态解析近似

Analytic Approximation of the Tavis-Cummings Ground State via Projected States

Octavio Castanos, Eduardo Nahmad-Achar, Ramon Lopez-Pena, Jorge G. Hirsch

摘要:

我们证明了利用半经典投影态得到了Tavis-Cummings模型基态精确量子解的一个很好的近似。这种状态有一个分析形式的模型参数,并在相反的确切的量子态,它允许场和物质的可观测值,场和物质之间的纠缠熵,压缩参数,和人口概率分布的期望值的分析计算。除了经典的相变区域外,这个投影态和精确的量子基态之间的保真度非常接近于1。我们比较的解析结果与通过直接哈密顿对角化作为原子分离能和物质场耦合的函数得到的精确解。

英文摘要:

We show that an excellent approximation to the exact quantum solution of the ground state of the Tavis-Cummings model is obtained by means of a semi-classical projected state. This state has an analytical form in terms of the model parameters and, in contrast to the exact quantum state, it allows for an analytical calculation of the expectation values of field and matter observables, entanglement entropy between field and matter, squeezing parameter, and population probability distributions. The fidelity between this projected state and the exact quantum ground state is very close to 1, except for the region of classical phase transitions. We compare the analytical results with those of the exact solution obtained through the direct Hamiltonian diagonalization as a function of the atomic separation energy and the matter-field coupling.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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