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Femtosecond pump-probe measurements find pronounced dimensionality dependenceof the optical nonlinearity in cuprates. Although the coherent two-photonabsorption (TPA) and linear absorption bands nearly overlap in both quasi-oneand two-dimensional (1D and 2D) cuprates, the TPA coefficient is one order ofmagnitude smaller in 2D than in 1D. Furthermore, picosecond recovery of opticaltransparency is observed in 1D cuprates, while the recovery in 2D involvesrelaxation channels with a time scales of tens of picoseconds. The experimentalresults are interpreted within the two-band extended Hubbard model.Comment: 10 pages, 4 figure

Dimensionality dependence of optical nonlinearity and relaxation dynamics in cuprates