Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Dynamical Behaviours of Matter Wave Positons in Bose-Einstein Condensates

Version 1 : Received: 6 July 2023 / Approved: 6 July 2023 / Online: 6 July 2023 (08:55:56 CEST)

A peer-reviewed article of this Preprint also exists.

Manikandan, K.; Serikbayev, N.; Vijayasree, S.P.; Aravinthan, D. Controlling Matter-Wave Smooth Positons in Bose–Einstein Condensates. Symmetry 2023, 15, 1585. Manikandan, K.; Serikbayev, N.; Vijayasree, S.P.; Aravinthan, D. Controlling Matter-Wave Smooth Positons in Bose–Einstein Condensates. Symmetry 2023, 15, 1585.

Abstract

In this investigation, we explore the existence and intriguing features of matter wave positons in a nonautonomous one-dimensional Bose-Einstein condensate (BEC) system with attractive interatomic interactions. We focus on the Gross-Pitaevskii (GP) equation/nonlinear Schrödinger (NLS)-type equation with time-modulated nonlinearity and trap potential, governing nonlinear wave propagation in the BEC. Our approach involves constructing second- and third-order matter wave 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. The study considers three distinct forms of modulated nonlinearities: (i) kink-like, (ii) localized or -like, and (iii) periodic. By varying the parameters associated with the nonlinearity strengths, we observe a rich variety of evolution behaviors in the matter wave positon profiles. These behaviors include stretching, curving, oscillating, breathing, collapsing, amplification, and suppression. Our comprehensive studies shed light on the intricate dynamics of matter wave positons in BECs, providing valuable insights into their behavior and characteristics in the presence of time-modulated nonlinearity and trap potential effects.

Keywords

Matter waves; Positons; Bose-Einstein condensates; Gross-Pitaevskii equation; Similarity transformation

Subject

Physical Sciences, Mathematical Physics

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