Optical Tomography for Single- and Two-Mode Squeezed Chaotic Fields

• DOI: 10.1007/s10773-013-1921-8
• Publication Date: 2013-11-22T08:08:30Z
• Authors: Xiang-Guo Meng; Ye-Jun Xu
• Keywords: 0103 physical sciences; 01 natural sciences

Different from the previous methods of obtaining optical tomography of quantum states, in this paper we use the Radon transform between the single- (two-)mode Wigner operator and the pure-state density operator |q〉 f,g f,g 〈q| (|η,τ 1,τ 2〉〈η,τ 1,τ 2|) to analytically obtain optical tomograms for single- (two-)mode squeezed chaotic fields, where the states |q〉 f,g (|η,τ 1,τ 2〉) refer to the newly introduced intermediate coordinate-momentum (entangled) states. More interestingly, we find that the tomograms of squeezed chaotic fields and those of coherent states are related by a integration. Thus, we establish a new convenient approach of obtaining tomograms for quantum states.