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.

arXiv comment7 pages, 5 figures

References in corpus (15)

• Theory of Bose-Einstein condensation in trapped gases
• Bose-Einstein condensation of photons in an optical microcavity
• Spatiotemporal mode-locking in multimode fiber lasers
• Influence of nearly resonant light on the scattering length in low-temperature atomic gases
• Optical solitons in graded-index multimode fiber
• Mechanisms of Spatiotemporal Mode-Locking
• Adiabatic dynamics of periodic waves in Bose-Einstein condensate with time dependent atomic scattering length
• Multidimensional solitons: Well-established results and novel findings
• Stabilization of solitons of the multidimensional nonlinear Schrodinger equation: Matter-wave breathers
• Vortex stability in nearly two-dimensional Bose-Einstein condensates with attraction
• Stabilization of bright solitons and vortex solitons in a trapless three-dimensional Bose-Einstein condensate by temporal modulation of the scattering length
• Hydrodynamic 2D turbulence and spatial beam condensation in multimode optical fibers
• Dramatic acceleration of wave condensation mediated by disorder in multimode fibers
• Dissipative Dynamics of Matter Wave Soliton in Nonlinear Optical Lattice
• Distributed Kerr-Lens Mode-Locking Based on Spatiotemporal Dissipative Solitons in Multimode Fiber Lasers

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