Symmetries of two-mode squeezed states

D. Han*, Y. S. Kim, Marilyn E. Noz, Leehwa Yeh

*Corresponding author for this work

Research output: Contribution to journalArticle

20 Scopus citations


It is known that the symmetry of two-mode squeezed states is governed by the group Sp(4) which is locally isomorphic to the O(3,2) de Sitter group. It is shown that this complicated ten-parameter group can be regarded as a product of two three-parameter Sp(2) groups. It is shown also that two coupled harmonic oscillators serve as a physical basis for the symmetry decomposition. It is shown further that the concept of entropy is needed when one of the two modes is not observed. The entropy is zero when the system is uncoupled. The system reaches thermal equilibrium when the entropy becomes maximal.

Original languageEnglish
Pages (from-to)5493-5508
Number of pages16
JournalJournal of Mathematical Physics
Issue number12
StatePublished - 1993

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