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Ultrafast broadband transient reflectivity experiments are performed to studythe interplay between the non-equilibrium dynamics of the pseudogap and thesuperconducting phases inBi$_{2}$Sr$_{2}$Ca$_{0.92}$Y$_{0.08}$Cu$_{2}$O$_{8+\delta}$. Oncesuperconductivity is established the relaxation of the pseudogap proceeds$\sim$ 2 times faster than in the normal state, and the corresponding transientreflectivity variation changes sign after $\sim$ 0.5 ps. The results can bedescribed by a set of coupled differential equations for the pseudogap and forthe superconducting order parameter. The sign and strength of the coupling termsuggest a remarkably weak competition between the two phases, allowing theircoexistence.

physical review letters

Competition between the Pseudogap and Superconducting States of  Bi$_{2}$Sr$_{2}$Ca$_{0.92}$Y$_{0.08}$Cu$_{2}$O$_{8+\delta}$ Single Crystals  Revealed by Ultrafast Broadband Optical Reflectivity