Regular Article – Cold Matter and Quantum Gases
Solitary matter waves in a tunable bi-periodic optical lattice with two- and three-body interactions
1 Indian Institute of Information Technology Vadodara, 382028, Gandhinagar, India
2 C. V. Raman Global University Odisha, 752 054, Bhubaneswar, India
3 Indian Institute of Technology Patna, Patna, India
Accepted: 28 November 2022
Published online: 12 December 2022
Using complex Ginzburg–Landau equation, we provide an exact analytical model for realizing cigar-shaped Bose–Einstein condensate trapped in a bi-periodic optical lattices and exponential periodic trap in presence of cubic and quintic atom–atom interactions. The choice of exponential periodic trap provides the complete set of the Fourier harmonics and provides independent control over the disorder by tuning the frustrated depth of the bi-periodic optical lattices. The corresponding equation is solved for a variety of physically relevant scenarios, and the parameters (both trap and nonlinearity) for controlling localization are identified. We also illustrate a novel mechanism for transition from a bi-chromatic lattice to a mono-chromatic lattice and vice versa. A numerical stability analysis for the proposed family of solution is performed using Fourier split-step method and is found stable which makes them suitable for the experimental observation.
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