Exact Solutions for Solitary Waves in a Bose-Einstein Condensate under the Action of a Four-Color Optical Lattice
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...
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MDPI AG
2021-12-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/1/49 |
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| author | Barun Halder Suranjana Ghosh Pradosh Basu Jayanta Bera Boris Malomed Utpal Roy |
| author_facet | Barun Halder Suranjana Ghosh Pradosh Basu Jayanta Bera Boris Malomed Utpal Roy |
| author_sort | Barun Halder |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T00:26:51Z |
| format | Article |
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| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T00:26:51Z |
| publishDate | 2021-12-01 |
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| series | Symmetry |
| spelling | doaj.art-9b282d5e77314bf6920ea73c36a4584e2023-11-23T15:32:36ZengMDPI AGSymmetry2073-89942021-12-011414910.3390/sym14010049Exact Solutions for Solitary Waves in a Bose-Einstein Condensate under the Action of a Four-Color Optical LatticeBarun Halder0Suranjana Ghosh1Pradosh Basu2Jayanta Bera3Boris Malomed4Utpal Roy5Department of Physics, Indian Institute of Technology Patna, Patna 801103, IndiaDepartment of Physics, Indian Institute of Science Education and Research Kolkata, Kolkata 741246, IndiaDepartment of Physics, Indian Institute of Technology Patna, Patna 801103, IndiaDepartment of Physics, Indian Institute of Technology Patna, Patna 801103, IndiaDepartment of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Center for Light-Matter Interaction, Tel Aviv University, Ramat Aviv, Tel Aviv P.O. Box 39040, IsraelDepartment of Physics, Indian Institute of Technology Patna, Patna 801103, IndiaWe 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.https://www.mdpi.com/2073-8994/14/1/49four-color optical latticeBose-Einstein condensatesoliton |
| spellingShingle | Barun Halder Suranjana Ghosh Pradosh Basu Jayanta Bera Boris Malomed Utpal Roy Exact Solutions for Solitary Waves in a Bose-Einstein Condensate under the Action of a Four-Color Optical Lattice Symmetry four-color optical lattice Bose-Einstein condensate soliton |
| title | Exact Solutions for Solitary Waves in a Bose-Einstein Condensate under the Action of a Four-Color Optical Lattice |
| title_full | Exact Solutions for Solitary Waves in a Bose-Einstein Condensate under the Action of a Four-Color Optical Lattice |
| title_fullStr | Exact Solutions for Solitary Waves in a Bose-Einstein Condensate under the Action of a Four-Color Optical Lattice |
| title_full_unstemmed | Exact Solutions for Solitary Waves in a Bose-Einstein Condensate under the Action of a Four-Color Optical Lattice |
| title_short | Exact Solutions for Solitary Waves in a Bose-Einstein Condensate under the Action of a Four-Color Optical Lattice |
| title_sort | exact solutions for solitary waves in a bose einstein condensate under the action of a four color optical lattice |
| topic | four-color optical lattice Bose-Einstein condensate soliton |
| url | https://www.mdpi.com/2073-8994/14/1/49 |
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