Role of Higher-Order Scattering Coefficient and Residual Nonlinearities on Instability Criteria in Three-Body Bose-Einstein Condensates

Authors

  • P. Mohanraj Department of Physics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, India https://orcid.org/0000-0002-6539-1060
  • R. Sivakumar Department of Physics, Pondicherry University, India
  • Jayaprakash Kaliyamurthy Department of Physics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, India https://orcid.org/0000-0003-0989-4832
  • V. Kamalakar Department of Physics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, India https://orcid.org/0000-0002-7747-674X
  • J. Gajendiran Department of Physics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, India

DOI:

https://doi.org/10.47852/bonviewJOPR42022330

Keywords:

dual component interactions, instability spectrum, higher-order residual nonlinearity, three-body Bose-Einstein condensate (BEC), modified Gross Pitaevski (GP) equations, higher-order scattering co-efficient

Abstract

We examine the instability characteristics in a three-body condensate and the effect of higher-order nonlinear effects caused by shape-dependent imprisonment and higher-order scattering coefficients such as S-wave scattering length and effective range for collisions. Using the linear stability technique, we study the spreading relations and gain profile of the adapted Gross Pitaevski equation with higher-order scattering coefficients and enduring nonlinearity. The role of higher-order interactions S-wave scattering length, residual nonlinearity, and effective range for collisions over the modulational instability in immiscible and miscible three-body Bose-Einstein condensates has been discussed in detail. MI can be excited in miscible condensates and changed in immiscible condensates because of residual nonlinearity, without taking into account higher-order nonlinearity and three-body condensates. However, the results of this work demonstrate that the influence of higher-order residual nonlinearity can cause the MI to change in both immiscible and immiscible condensates. The discovered MI spectrum reveals a new soliton production regime in three-body condensates. The results exhibit that higher-order scattering coefficient and remaining nonlinearity interplay can successfully switch the instability gain profile in miscible and immiscible condensates. This makes it possible to regulate the dynamics by varying the MI in a ternary combination of Bose-Einstein condensates.

 

Received: 19 December 2023 | Revised: 13 June 2024 | Accepted: 23 September 2024

 

Conflicts of Interest

The authors declare that they have no conflicts of interest to this work.

 

Data Availability Statement

Data are available from the corresponding author upon reasonable request.

 

Author Contribution Statement

Mohanrajt: Conceptualization, Methodology, Software, Writing - original draft. R. Sivakumar: Validation, Formal analysis, Investigation, Supervision. Jayaprakash Kaliyamurthy: Writing - review & editing, Visualization. V. Kamalakar: Writing - review & editing, Visualization. J. Gajendiran: Writing - review & editing, Visualization.


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Published

2024-09-29

Issue

Online First

Section

Research Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Mohanraj, P., Sivakumar, R., Kaliyamurthy, J. ., Kamalakar, V., & Gajendiran, J. (2024). Role of Higher-Order Scattering Coefficient and Residual Nonlinearities on Instability Criteria in Three-Body Bose-Einstein Condensates. Journal of Optics and Photonics Research. https://doi.org/10.47852/bonviewJOPR42022330