Using the AdS/CFT duality, we study the properties of negative
energy in strongly coupled field theories with the general
dynamical scaling. The gravitational wave propagates in the
Lifshitz background is dual to the squeezed state in the quantum
critical theories. The energy density to leading order in the
squeezed parameters can oscillate between negative and positive
values with the sub-leading term which is always positive and time
independent. We showed that this is consistent with the quantum
interest conjecture and satisfies the average null energy condition.
And we found a constrain on the duration of negative energy.