A "metaphorical" nonlinear multimode fiber laser approach to weakly-dissipative Bose-Einstein condensates

Abstract

We demonstrate the stabilization of two-dimensional nonlinear wave patterns by means of a dissipative confinement potential. Our analytical and numerical analysis, based on the generalized dissipative Gross-Pitaevskii equation, makes use of the close analogy between the dynamics of a Bose-Einstein condensate and that of mode-locked fiber laser, operating in the anomalous dispersion regime. In the last case, the formation of stable two-dimensional patterns corresponds to spatiotemporal mode-locking, using dissipation-enhanced mode cleaning. We analyze the main scenarios of pattern destabilization, varying from soliton dissolution to its splitting and spatiotemporal turbulence, and their dependence on graded dissipation.

7 pages, 5 figures

References in corpus (4)

• Bose-Einstein condensation of photons in an optical microcavity
• Vortex stability in nearly two-dimensional Bose-Einstein condensates with attraction
• Dramatic acceleration of wave condensation mediated by disorder in multimode fibers
• Dissipative Dynamics of Matter Wave Soliton in Nonlinear Optical Lattice

Cited by in corpus (7)

• Multidimensional dissipative solitons and solitary vortices
• A route to high peak power and energy scaling in the mid-IR chirped-pulse oscillator-amplifier laser systems
• At the threshold of distributed Kerr-lens mode-locking in a Cr:ZnS waveguide laser
• Dissipative Soliton Resonance: Adiabatic Theory and Thermodynamics
• Energy Scalability Limits of Dissipative Solitons
• Thermodynamics of Dissipative Solitons
• Stabilization of Spatiotemporal Dissipative Solitons in Multimode Fiber Lasers by External Phase Modulation