New light fields based on integration theory within the Weyl ordering product of operators

• Published in: Chinese physics B Vol. 32; no. 4; pp. 40301 - 186
• Main Authors: Zhang, Ke, Li, Lan-Lan, Guo, Da-Wei, Fan, Hong-Yi
• Format: Journal Article
• Language: English
• Published: Chinese Physical Society and IOP Publishing Ltd 01.04.2023; School of Electronic Engineering,Huainan Normal University,Huainan 232038,China%Department of Material Science and Engineering,University of Science and Technology of China,Hefei 230026,China
• Subjects: entanglement property; integration within an ordered product of operators; two-mode squeezing operator; Weyl ordering; Weyl ordering; entanglement property; integration within an ordered product of operators; two-mode squeezing operator
• ISSN: 1674-1056; 2058-3834
• DOI: 10.1088/1674-1056/ac7e34

The development of quantum optics theory based on the method of integration within an ordered product of operators (IWOP) has greatly stimulated the study of quantum states in the light field, especially non-Gaussian states with various non-classical properties. In this paper, the two-mode squeezing operator is derived with integral theory within the Weyl ordering product of operators using a combinatorial field in which one mode is a chaotic field and the other mode is a vacuum field. The density operator of the new light field, its entanglement property and photon number distribution are analyzed. We also note that tracing a three-mode pure state can yield this new light field. These methods represent a theoretical approach to investigating new density operators of light fields.