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Ultrafast degenerate pump-probe experiments performed on a free standing filmof double walled carbon nanotubes near the first metallic transition energy ofouter tube show ultrafast ($97 fs$) photobleaching followed by a photo-inducedabsorption with a slow relaxation of $1.8 ps$. Femtosecond closed and openaperture z-scan experiments carried out at the same excitation energy showsaturation absorption and negative cubic nonlinearity. From these measurements,real and imaginary part of the third order nonlinear susceptibility areestimated to be Re($\chi^{(3)}) \sim -2.2 \times 10 ^{-9} esu$ andIm($\chi^{(3)}) \sim 1.1 \times 10 ^{-11} esu$.

Ultrafast electron dynamics and cubic optical nonlinearity of free standing thin film of double walled carbon nanotubes