Criticality and hidden criticality in multi-species Bose-Einstein condensates

Y. M. Liu; Y. Z. He; C. G. Bao

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arXiv · 1710.10449

Criticality and hidden criticality in multi-species Bose-Einstein condensates

Y. M. Liu·Y. Z. He·C. G. Bao

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Abstract

A general approach is proposed to solve the coupled Gross-Pitaevskii equations (CGP) for K-species Bose-Einstein condensates (BEC). Analytical solutions have been obtained under the Thomas-Fermi approximation. We aim at finding out the common features of the K-species BEC. In particular, two types of phase-transitions, full-state-transition and partial-state transition, are found. In the former all species are involved in the transition, while in the latter only a few specified species are essentially involved. This leads to the criticality and the hidden criticality (previously found in multi-band superconductivity). We further found that the former originates from the singularity of the whole matrix of the CGP, while the latter originates from the singularity of a specified sub-matrix (which is contributed by only a few specified species). It is emphasized that the singularity is not a by-product of the TFA, but is inherent in the CGP.

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Y. M. Liu, Y. Z. He, C. G. Bao. 2017-10-28. Criticality and hidden criticality in multi-species Bose-Einstein condensates. https://arxiv.org/abs/1710.10449

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