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

Research paper by Xiang-Guo Meng, Ye-Jun Xu

Indexed on: 23 Nov '13Published on: 23 Nov '13Published in: International Journal of Theoretical Physics



Abstract

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,gf,g〈q| (|η,τ1,τ2〉〈η,τ1,τ2|) to analytically obtain optical tomograms for single- (two-)mode squeezed chaotic fields, where the states |q〉f,g (|η,τ1,τ2〉) 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.