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We consider quantum quench in large-N singlet sector quantum mechanics of asingle hermitian matrix in the double scaling limit. The time dependentparameter is the self-coupling of the matrix. We find exact classical solutionsof the collective field theory of eigenvalue density with abrupt smooth quenchprofiles which asymptote to constant couplings at early and late times, and thesystem is initially in its ground state. With adiabatic initial conditions wefind that adiabaticity is always broken regardless of the quench speed. In aclass of quench profiles the saddle point solution for the collective fielddiverges at a finite time, and a further time evolution becomes ambiguous.However the underlying matrix model expressed in terms of fermions predict asmooth time evolution across this point. By studying fluctuations around thesaddle point solution we interpret the emergent space-times. They genericallyhave spacelike boundaries where the couplings of the fluctuations diverge. Onlyfor very finely tuned quench profiles, the space-time is normal.

Quantum Quench in $c=1$ Matrix Model and Emergent Space-times