Abstract
We present a comprehensive analysis of the form and interaction of dipolar bright solitons across the full parameter space afforded by dipolar Bose–Einstein condensates, revealing the rich behavior introduced by the non-local nonlinearity. Working within an effective one-dimensional description, we map out the existence of the soliton solutions and show three collisional regimes: free collisions, bound state formation and soliton fusion. Finally, we examine the solitons in their full three-dimensional form through a variational approach; along with regimes of instability to collapse and runaway expansion, we identify regimes of stability which are accessible to current experiments.
Highlights
Solitons have been observed in a profusion of physical systems, and fundamentally exhibit a dual nature possessing both wave and particle like qualities
We note that in each of the cases presented in figure 1 the borderline between the homogeneous and soliton solutions does not coincide with edd = 0
We study the collisions of two dipolar bright solitons, exploring the role the relative phase plays in collisions as a function of the DD interaction and the initial kinetic energy of the solitons
Summary
We examine the solitons in their full threethe work, journal citation dimensional form through a variational approach; along with regimes of instability to collapse and and DOI. Runaway expansion, we identify regimes of stability which are accessible to current experiments
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