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Two-dimensional infrared photon echo and pump probe studies of the OH stretch vibration provide a sensitive probe of the correlations and couplings in the hydrogen bond network of liquid water. We present simulations of the nonlinear vibrational response of liquid water using numerical integration of the Schrodinger equation with a Hamiltonian constructed to explicitly treat intermolecular coupling and non-adiabatic effects. The simulated two-dimensional spectra are in close agreement with our recent experimental results } 105 \end{bf}, 437, (2008).}. The high sensitivity of the OH stretch vibration to the bath dynamics is found to arise from intramolecular effects due to mixing between states in the two-dimensional anharmonic OH stretching potential. Surprisingly small intermolecular couplings reproduce the experimentally observed intermolecular energy transfer times.