Exact Solutions for Solitary Waves in a Bose-Einstein Condensate under the Action of a Four-Color Optical Lattice

• Published in: arXiv.org
• Main Authors: Halder, B, Ghosh, S, Basu, P, Bera, J, Malomed, B, Roy, Utpal
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 12.01.2022
• Subjects: Bose-Einstein condensates; Color; Dynamic stability; Exact solutions; Numerical analysis; Optical lattices; Parameter identification; Physics - Pattern Formation and Solitons; Physics - Quantum Gases; Physics - Quantum Physics; Quantum phenomena; Solitary waves; Stability analysis; Structural stability; Superlattices; Symmetry
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.2201.04445

We address dynamics of Bose-Einstein condensates (BECs) loaded into a one-dimensional four-color optical lattice (FOL) potential with commensurate wavelengths and tunable intensities. This configuration lends system-specific symmetry properties. The analysis identifies specific multi-parameter forms of the FOL potential which admits exact solitary-wave solutions. This newly found class of potentials includes more particular species, such as frustrated double-well superlattices, and bi-chromatic and three-color lattices, which are subject to respective symmetry constraints. Our exact solutions provide options for controllable positioning of density maxima of the localized patterns, and tunable Anderson-like localization in the frustrated potential. A numerical analysis is performed to establish dynamical stability and structural stability of the obtained solutions, which makes them relevant for experimental realization. The newly found solutions offer applications to the design of schemes for quantum simulations and processing quantum information.