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

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