Elementary modes of excitation caused by the quadratic Zeeman term and the sensitivity of spin structures of small spin-2 condensates against the magnetic field

Abstract

The response of spin-2 small condensates to an external magnetic field $B$ is studied. The parameters of the interaction are considered as variable. The emphasis is placed on clarifying the modes of excitation caused by the quadratic Zeeman term. The theoretical method used is beyond the mean field theory. A set of eigenstates with the $U(5)\supset SO(5)\supset SO(3)$ symmetry is introduced to facilitate the analysis. To obtain a quantitative evaluation on the response, the fidelity susceptibility and the $B$ -dependent average populations of spin-components have been calculated. Mostly the particle number N=30 is assumed. The effect with a larger or smaller $N$ is also considered. It was found that the sensitivity of the response depends strongly both on the interaction and on the inherent symmetry.

9 pages, 7 figures

References in corpus (5)

• Decay of Loschmidt Echo Enhanced by Quantum Criticality
• Fidelity, dynamic structure factor, and susceptibility in critical phenomena
• Theory of spin-2 Bose-Einstein condensates: spin-correlations, magnetic response, and excitation spectra
• Bose-Einstein condensates of atoms with arbitrary spin
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Cited by in corpus (2)

• Seniority in quantum many-body systems. I. Identical particles in a single shell
• Fluctuation-induced and symmetry-prohibited metastabilities in spinor Bose-Einstein condensates