Classification of spin and multipolar squeezing

Abstract

We investigate various types of squeezing in a collective su(2J+1) system consisting of spin-J particles (J>1/2). We show that the squeezing in the collective su(2J+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(2J+1) algebra. The dimensionality of the unitary equivalence class is fundamentally related to its squeezing limit. We also demonstrate the classification of the squeezing among the spin and multipolar observables in a collective su(4) system.

21 pages, 4 figures

References in corpus (4)

• Entanglement Detection in Optical Lattices of Bosonic Atoms with Collective Measurements
• Spin squeezing in an ensemble of quadrupolar nuclei NMR system
• Quantum Measurement-induced Dynamics of Many-Body Ultracold Bosonic and Fermionic Systems in Optical Lattices
• SU(N) Coherent States and Irreducible Schwinger Bosons

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