  In this work, we investigate quenches in a free-fermion chain with long-range
hopping which decay with the distance with an exponent $\nu$ and has range $D$.
By exploring the exact solution of the model, we found that the dynamic free
energy is non-analytical, in the thermodynamic limit, whenever the sudden
quench crosses the equilibrium quantum critical point. We were able to
determine the non-analyticities of dynamic free energy $f(t)$ at some critical
times $t^{c}$ by solving nonlinear equations. We also show that the
Yang-Lee-Fisher (YLF) zeros cross the real-time axis at those critical times.
We found that the number of nontrivial critical times, $N_{s},$ depends on
$\nu$ and $D$. In particular, we show that for small $\nu$ and large $D$ the
dynamic free energy presents non-analyticities in any time interval $\Delta
t\sim1/D\ll1$, i.e., there are \emph{non-analyticities at almost all times}.
For the spacial case $\nu=0$, we obtain the critical times in terms of a simple
expression of the model parameters and also show that $f(t)$ is non-analytical
even for finite system under anti-periodic boundary condition, when we consider
some special values of quench parameters. We also show that, generically, the
first derivative of the dynamic free energy is discontinuous at the critical
time instant when the YLF zeros are non-degenerate. On the other hand, when
they become degenerate, all derivatives of $f(t)$ exist at the associated
critical instant.
