Modulational instability in addition to discrete breathers in 2D quantum ultracold atoms loaded in optical lattices

被引：12

作者：

Djoufack, Z., I ^{[1
,2
,3
]}

Fotsa-Ngaffo, F. ^{[4
,5
]}

Tala-Tebue, E. ^{[1
]}

Fendzi-Donfack, E. ^{[6
]}

Kapche-Tagne, F. ^{[1
]}

机构：

[1] Fotso Victor Univ Inst Technol, Dept Telecommun & Network Engn, LAIA, POB 134, Bandjoun, Cameroon

[2] Univ Dschang, Dschang, Cameroon

[3] African Inst Math Sci, 6 Melrose, ZA-7945 Cape Town, South Africa

[4] Univ Yaounde I, Inst Wood Technol, POB 306, Mbalmayo, Cameroon

[5] Univ Buea, Fac Sci, Dept Phys, Buea, Cameroon

[6] Univ Douala, Pure Phys Lab, Grp Nonlinear Phys & Complex Syst, Dept Phys, POB 24157, Douala, Cameroon

来源：

NONLINEAR DYNAMICS | 2019年 / 98卷 / 03期

关键词：

Discrete breathers; Modulational instability; Optical lattice; Quantum ultracold atoms; NONLINEAR SCHRODINGER-EQUATION; LOCALIZED MODES; SOLITONS; WAVES; SUPERFLUID; INSULATOR; BOSON;

D O I：

10.1007/s11071-019-05295-w

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The modulational instability associated with discrete breathers in 2D quantum ultracold atoms is studied by using the Glauber's coherent state combined with a semi-discrete approximation and multiple-scale methods. The linear stability analysis exhibits an intriguing threshold amplitude and instability regions associated with modulational growth rate. In addition, we demonstrate a coexistence of two bright intrinsic localized modes namely, the radial symmetric and bilateral symmetric modes, at the center and at the edges of the Brillouin zone, respectively, by alternating the on-site parameter interaction. Numerical investigations reveal a good agreement with the theoretical analysis.

引用

页码：1905 / 1918

页数：14

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