Classification of spin and multipolar squeezing. (17th May 2016)

• Record Type: Journal Article
• Authors: Yukawa, Emi; Nemoto, Kae
• Is Part Of: Journal of physics. Volume 49:Number 25(2016)
• Publication Date: 2016-05-17
• Subjects: spin squeezing -- collective spin systems -- su(N) algebra; 0365Fd -- 0530Ch -- 4250Lc; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8113/49/25/255301
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: We investigate various types of squeezing in a collective su( 2 J + 1 ) system consisting of spin- J particles ( J > 1 / 2 ). We show that squeezing in the collective su( 2 J + 1 ) system can be classified into unitary equivalence classes, each of which is characterized by a set of squeezed and anti-squeezed observables forming an su(2) subalgebra in the su( 2 J + 1 ) algebra. The dimensionality of the unitary equivalence class is found to be fundamentally related to its squeezing limit. We also demonstrate the classification of squeezing among the spin and multipolar observables in a collective su(4) system.