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

Barun Halder, Suranjana Ghosh, Pradosh Basu, Jayanta Bera, Boris Malomed*, Utpal Roy

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

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 bichromatic 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.

Original languageEnglish
Article number49
JournalSymmetry
Volume14
Issue number1
DOIs
StatePublished - Jan 2022

Keywords

  • Bose-Einstein condensate
  • Four-color optical lattice
  • Soliton

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