Matter-wave solutions in the Bose-Einstein condensates with the harmonic and Gaussian potentials
arXiv:1704.02548 · doi:10.1103/PhysRevE.85.056608
Abstract
We study exact solutions of the quasi-one-dimensional Gross-Pitaevskii (GP) equation with the (space, time)-modulated potential and nonlinearity and the time-dependent gain or loss term in Bose-Einstein condensates. In particular, based on the similarity transformation, we report several families of exact solutions of the GP equation in the combination of the harmonic and Gaussian potentials, in which some physically relevant solutions are described. The stability of the obtained matter-wave solutions is addressed numerically such that some stable solutions are found. Moreover, we also analyze the parameter regimes for the stable solutions. These results may raise the possibility of relative experiments and potential applications.
10 pages, 10 figures
References in corpus (9)
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Matter-wave interferometry in a double well on an atom chip
- Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
- Strong dissipation inhibits losses and induces correlations in cold molecular gases
- Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities
- Experimental observation of oscillating and interacting matter wave dark solitons
- Localized nonlinear waves in systems with time- and space-modulated nonlinearities
- Exact solutions to three-dimensional generalized nonlinear Schrodinger equations with varying potential and nonlinearities
- Matter wave switching in Bose-Einstein condensates via intensity redistribution soliton interactions
Cited by in corpus (6)
- Solitons and their stability in the nonlocal nonlinear Schroedinger equation with PT-symmetric potentials
- Stable parity-time-symmetric nonlinear modes and excitations in a derivative nonlinear Schrodinger equation
- Dynamical response of Bose-Einstein condensates to oscillating gravitational fields
- Tunneling and Revival of Anderson Localization in Bose-Einstein Condensate
- Bohmian analysis of dark solutions in interfering Bose-Einstein condensates: The dynamical role of underlying velocity fields
- Localized Analytical Solutions and Parameters Analysis in the Nonlinear Dispersive Gross-Pitaevskii Mean-Field GP (m,n) Model with Space-Modulated Nonlinearity and Potential