中国物理学会期刊网
Chin. Phys. Lett.  2018, Vol.35 Issue (7): 70301-  DOI:10.1088/0256-307X/35/7/070301
Period-Doubled Bloch States in a Bose–Einstein Condensate
1School of Electronics Engineering and Computer Science, Peking University, Beijing 1008712International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871

Abstract

We study systematically the period-doubled Bloch states for a weakly interacting Bose–Einstein condensate in a one-dimensional optical lattice. This kind of state is of form $\psi_k=e^{ikx}\phi_k(x)$, where $\phi_k(x)$ is of a period twice the optical lattice constant. Our numerical results show how these nonlinear period-doubled states grow out of linear period-doubled states at a quarter away from the Brillouin zone center as the repulsive interatomic interaction increases. This is corroborated by our analytical results. We find that all nonlinear period-doubled Bloch states have both Landau instability and dynamical instability.
收稿日期:2018-05-02

基金资助

Supported by the National Key Research and Development Program of China under Grant Nos 2016YFA0301501 and 2017YFA0303302, and the National Natural Science Foundation of China under Grants Nos 11334001, 61727819, 61475007 and 91736208.

引用本文

[英文]
Bao-Guo Yang, Peng-Ju Tang, Xin-Xin Guo, Xu-Zong Chen, Biao Wu, Xiao-Ji Zhou. Period-Doubled Bloch States in a Bose–Einstein Condensate[J]. CPL, 2018, 35(7): 70301-.
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中国物理学会期刊网