Controlling Matter-Wave Smooth Positons in Bose–Einstein Condensates
Manikandan K. Serikbayev N. Vijayasree S.P. Aravinthan D.
August 2023Multidisciplinary Digital Publishing Institute (MDPI)
Symmetry
2023#15Issue 8
In this investigation, we explore the existence and intriguing features of matter-wave smooth positons in a non-autonomous one-dimensional Bose–Einstein condensate (BEC) system with attractive interatomic interactions. We focus on the Gross–Pitaevskii (GP) equation/nonlinear Schrödinger-type equation with time-modulated nonlinearity and trap potential, which govern nonlinear wave propagation in the BEC. Our approach involves constructing second- and third-order matter-wave smooth positons using a similarity transformation technique. We also identify the constraints on the time-modulated system parameters that give rise to these nonlinear localized profiles. This study considers three distinct forms of modulated nonlinearities: (i) kink-like, (ii) localized or sech-like, and (iii) periodic. By varying the parameters associated with the nonlinearity strengths, we observe a rich variety of captivating behaviors in the matter-wave smooth positon profiles. These behaviors include stretching, curving, oscillating, breathing, collapsing, amplification, and suppression. Our comprehensive studies shed light on the intricate density profile of matter-wave smooth positons in BECs, providing valuable insights into their controllable behavior and characteristics in the presence of time-modulated nonlinearity and trap potential effects.
Bose–Einstein condensates , Gross–Pitaevskii equation , matter waves , positons , similarity transformation
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Center for Computational Modeling, Chennai Institute of Technology, Tamilnadu, Chennai, 600 069, India
Department of General and Theoretical Physics, L. N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Laboratory for Theoretical Cosmology, International Center of Gravity and Cosmos, Tomsk State Univerity of Control Systems and Radio Electronics (TUSUR), Tomsk, 634050, Russian Federation
Department of Computer Science and Engineering, Chennai Institute of Technology, Tamilnadu, Chennai, 600 069, India
Center for Computational Modeling
Department of General and Theoretical Physics
Laboratory for Theoretical Cosmology
Department of Computer Science and Engineering
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