E(2)-symmetric two-mode sheared states

Y. S. Kim*, Leehwa Yeh

*此作品的通信作者

研究成果: Article同行評審

10 引文 斯高帕斯(Scopus)

摘要

It is noted that the symmetry of two-mode squeezed states of light is governed by the group Sp(4) that is locally isomorphic to O(3,2). This group has subgroups that are locally isomorphic to the two-dimensional Euclidean group. Two-mode states having the E(2) symmetry are constructed. The translation-like transformations of this symmetry group shear the Wigner distribution function defined over the four-dimensional phase space consisting of two pairs of canonical variables. Sheared states are constructed in the Schrödinger picture of quantum mechanics and in the Fock space for photon numbers. It is shown that the Wigner phase-space picture is a convenient representation of quantum mechanics for calculating measurable quantities of the sheared states.

原文English
頁(從 - 到)1237-1246
頁數10
期刊Journal of Mathematical Physics
33
發行號4
DOIs
出版狀態Published - 1992

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