Photon-subtracted squeezed thermal state: Nonclassicality and decoherence

Photon-subtracted squeezed thermal state: Nonclassicality and decoherence
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光子扣除压缩热态:非经典性和退相干

DOI:
10.1103/physreva.82.043842
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发表时间:
2010-08
期刊:
Physical Review A 82, 043842 (2010)
影响因子:
--
通讯作者:
Xue-fen Xu
Xue-fen Xu
中科院分区:
其他
文献类型:
--
作者:
Li-yun Hu;Xue-xiang Xu;Zi-sheng Wang;Xue-fen Xu

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我们研究了从压缩热态(STS)中减去任意数量的光子所产生的场态的非经典性质。发现光子减法STS (PSSTS)的归一化因子是压缩参数r和热态平均光子数n-bar的Legendre多项式。导出了几种PSSTS准概率分布的解析表达式。进一步,从维格纳函数(WF)的负性角度讨论了非经典性。结果表明,当相空间中心n-bar<sinh{sup 2}r时,单个PSSTS的WF始终为负值。然后通过解析导出WF的时间演化,考虑了对PSSTS的退相干效应。结果表明,当2{kappa}t<ln{l_brace}1-(2N -bar+1)(N -bar-sinh{sup 2}r)/[(2N+1)(N -barcosh2r+sinh{sup 2}r)]{r_brace}时,单个PSSTS的WF为负值,它不仅与环境中热光子的平均数目N有关,还与N -bar和r有关。
We investigate nonclassical properties of the field states generated by subtracting any number of photons from the squeezed thermal state (STS). It is found that the normalization factor of photon-subtracted STS (PSSTS) is a Legendre polynomial of squeezing parameter r and average photon number n-bar of the thermal state. Expressions of several quasiprobability distributions of PSSTS are derived analytically. Furthermore, the nonclassicality is discussed in terms of the negativity of the Wigner function (WF). It is shown that the WF of single PSSTS always has negative values if n-bar<sinh{sup 2}r at the phase space center. The decoherence effect on PSSTS is then included by analytically deriving the time evolution of WF. The results show that the WF of single PSSTS has negative value if 2{kappa}t<ln{l_brace}1-(2n-bar+1)(n-bar-sinh{sup 2}r)/[(2N+1)(n-barcosh2r+sinh{sup 2}r)]{r_brace}, which is dependent not only on average number N of thermal photons in the environment, but also on n-bar and r.
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