Matter-wave solitons with a minimal number of particles in a time-modulated quasi-periodic potential

Gennadiy  Burlak; Salomon  García-Paredes

doi:10.3934/proc.2015.0169

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2015, Volume 2015: 169-175. Doi: 10.3934/proc.2015.0169 open access

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Matter-wave solitons with a minimal number of particles in a time-modulated quasi-periodic potential

Gennadiy Burlak^1, and
Salomon García-Paredes^1,

1.
CIICAp, Universidad Autónoma del Estado de Morelos, Cuernavaca, Mor., México, CP 62209

Received: August 31, 2014

Revised: January 31, 2015

Published: October 2015

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Abstract

The two-dimensional (2D) matter-wave soliton families supported by an external potential are systematically studied, in a vicinity of the junction between stable and unstable branches of the families. In this case the norm of the solution attains a minimum, facilitating the creation of such excitation. We study the dynamics and stability boundaries for fundamental solitons in a 2D self-attracting Bose-Einstein condensate (BEC), trapped in an quasiperiodic optical lattice (OL), with the amplitude subject to periodic time modulation.

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Mathematics Subject Classification: Primary: 35C08, 35C99; Secondary: 65N99.

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