Regular Article

Formation of solitonic bound state via light-matter interaction

¹ Department of Physics, Bankura Sammilani College, Kenduadihi, Bankura 722101, India
² Department of Physics, School of Engineering and Applied Sciences, Bennett University, Greater Noida 201310, India
³ Jaypee Institute of Information Technology A-10, Sector-62, Noida 201309, India

^a e-mail: daspriyam3@gmail.com
^b e-mail: ayan.khan@bennett.edu.in
^c e-mail: anirban.pathak@jiit.ac.in

Received: 1 May 2020
Received in final form: 5 July 2020
Accepted: 14 September 2020
Published online: 13 October 2020

Abstract

Exchange of energy by means of light-matter interaction provides a new dimension to various nonlinear dynamical systems. Here, the effects of light-matter interaction are investigated for a situation, where two counter-propagating, orthogonally polarized laser pulses are incident on the atomic condensate. It is observed that a localized laser pulse profile can induce localized modes in Bose-Einstein condensate. A stability analysis performed using Vakhitov-Kolokolov-like criterion has established that these localized modes are stable, when the atom-atom interaction is repulsive. The cooperative effects of light-matter interactions and atom-atom interactions on the Lieb-mode have been studied in the stable region through atomic dispersion, revealing the signature of bound state formation when the optical potential is Pöschl-Teller type. The energy diagram also indicates a continuous transfer of energy from the laser pulses to the atoms as the light-matter interaction changes its sign.