Investigation of Bose-Einstein Condensates in q-Deformed Potentials with First Order Perturbation Theory


Nutku F., Aydiner E.

COMMUNICATIONS IN THEORETICAL PHYSICS, vol.69, no.2, pp.154-158, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 69 Issue: 2
  • Publication Date: 2018
  • Doi Number: 10.1088/0253-6102/69/2/154
  • Journal Name: COMMUNICATIONS IN THEORETICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.154-158
  • Keywords: Bose-Einstein condensates, solitons, q-deformed potential, perturbation theory, GROSS-PITAEVSKII EQUATION, PHASE-COHERENT AMPLIFICATION, NONLINEAR SCHRODINGER, QUANTUM-MECHANICS, UNCERTAINTY RELATION, HARMONIC-OSCILLATOR, SOLITON SOLUTION, MATTER WAVES, TIME, STATES
  • Istanbul University Affiliated: Yes

Abstract

The Gross-Pitaevskii equation, which is the governor equation of Bose-Einstein condensates, is solved by first order perturbation expansion under various q-deformed potentials. Stationary probability distributions reveal one and two soliton behavior depending on the type of the q-deformed potential. Additionally a spatial shift of the probability distribution is found for the dark soliton solution, when the q parameter is changed.