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We investigate numerically soliton-plasma interaction in a noble-gas-filledsilica hollow-core anti-resonant fiber pumped in the mid-IR at 3.0 {\mu}m. Weobserve multiple soliton self-compression stages due to distinct stages whereeither the self-focusing or the self-defocusing nonlinearity dominates.Specifically, the parameters may be tuned so the competing plasmaself-defocusing nonlinearity only dominates over the Kerr self-focusingnonlinearity around the soliton self-compression stage, where the increasingpeak intensity on the leading pulse edge initiates a competing self-defocusingplasma nonlinearity acting nonlocally on the trailing edge, effectivelypreventing soliton-formation there. As the plasma switches off after theself-compression stage, self-focusing dominates again, initiating anothersoliton self-compression stage in the trailing edge. This process isaccompanied by supercontinuum generation spanning 1-4 {\mu}m. The techniquecould be exploited to generate an ultrafast sequence of several few-cyclepulses.

Multiple soliton compression stages from competing plasma nonlinearities in mid-IR gas-filled hollow-core fibers