Stable nonlinear modes sustained by gauge fields
- URL: http://arxiv.org/abs/2007.07245v1
- Date: Tue, 14 Jul 2020 17:58:24 GMT
- Title: Stable nonlinear modes sustained by gauge fields
- Authors: Yaroslav V. Kartashov and Vladimir V. Konotop
- Abstract summary: We show that when gauge field can be split in a pure gauge and a rtextnon-pure gauge generating rtexteffective potential, the roles of these components in soliton dynamics are different.
Our central finding is that nonzero curvature can lead to the existence of unusual modes, in particular, enabling stable localized self-trapped fundamental and vortex-carrying states.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We reveal the universal effect of gauge fields on the existence, evolution,
and stability of solitons in the spinor multidimensional nonlinear
Schr\"{o}dinger equation. Focusing on the two-dimensional case, we show that
when gauge field can be split in a pure gauge and a \rtext{non-pure gauge}
generating \rtext{effective potential}, the roles of these components in
soliton dynamics are different: the \btext{localization characteristics} of
emerging states are determined by the curvature, while pure gauge affects the
stability of the modes. Respectively the solutions can be exactly represented
as the envelopes independent of the pure gauge, modulating stationary
carrier-mode states, which are independent of the curvature. Our central
finding is that nonzero curvature can lead to the existence of unusual modes,
in particular, enabling stable localized self-trapped fundamental and
vortex-carrying states in media with constant repulsive interactions without
additional external confining potentials and even in the expulsive external
traps.
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