Geometric phase for two trapped ions

Author

Schneider, S. ; Milburn, G.J.

Author_Institution

Dept. of Phys., Queensland Univ., St. Lucia, Qld., Australia

fYear

1992

fDate

23-28 May 1992

Firstpage

21

Abstract

Summary form only given. First we explore how to perform single trit rotations, so that we can (in principle) prepare any pure trit state at will and move it around in the pure stare manifold. Pure stares of three level systems can be represented in terms of the five dimensional manifold of the coset space SU(3)/U(2). These trit rotations have to consist of the laser pulse techniques developed for ion traps. We show how, using those techniques, we can move the state around a closed path in Hilbert space.

Keywords

Hilbert spaces; SU(N) theory; eigenvalues and eigenfunctions; laser beam effects; particle optics; Hilbert space; coset space SU(3)/U(2); five dimensional manifold; geometric phase; ion traps; laser pulse techniques; pure stare manifold; pure trit state; single trit rotations; trapped ion pair; trit rotations; Atomic measurements; Electron traps; Hilbert space; Information processing; Laser theory; Optical pulses; Phase measurement; Physics; Quantum entanglement; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Quantum Electronics and Laser Science Conference, 1999. QELS '99. Technical Digest. Summaries of Papers Presented at the

Conference_Location

Baltimore, MD, USA

Print_ISBN

1-55752-576-X

Type

conf

DOI

10.1109/QELS.1999.807111

Filename

807111