Entangled coherent states for systems with SU(2) and SU(1,1) symmetries

Xiaoguang Wang, Barry C. Sanders, Shao-hua Pan

Research output: Contribution to journalArticle

93 Citations (Scopus)

Abstract

Entangled SU(2) and SU(1,1) coherent states are developed as superpositions of multiparticle SU(2) and SU(1,1) coherent states. As a special example of entangled SU(2) coherent states, entangled binomial states are introduced and these entangled binomial states enable the contraction from entangled SU(2) coherent states to entangled harmonic oscillator coherent states. Entangled SU(2) coherent states are discussed in the context of pairs of qubits. We also introduce the entangled negative binomial states and entangled squeezed states as examples of entangled SU(1,1) coherent states. A method for generating the entangled SU(2) and SU(1,1) coherent states is discussed and degrees of entanglement calculated. Two types of SU(1,1) coherent states are discussed in each case: Perelomov coherent states and Barut-Girardello coherent states.
Original languageEnglish
Pages (from-to)7451-7467
Number of pages17
JournalJournal of Physics A: Mathematical and General
Volume33
Issue number41
DOIs
Publication statusPublished - 2000

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