On an optical realization of the SU (1, 1) geometric phase, and the Bolyai-Lobachevsky plane

C. Benedek, M. G. Benedict

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We introduce and analyze the SU(1, 1) geometric phase emerging in a series of discrete transformations in an optical ring cavity containing partial reflectors. In the theoretical description the underlying projective space is the Bolyai-Lobachevsky (B-L) plane. We show that the resulting geometric phase is equal to half of the area of an object on this plane, determined by the experimental parameters. In the case of three transformations this object is a triangle, and its sides and angles can be related to the reflection and transmission coefficients of the applied mirrors.

Original languageEnglish
Pages (from-to)347-352
Number of pages6
JournalEurophysics Letters
Volume39
Issue number4
DOIs
Publication statusPublished - Aug 15 1997

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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