  Repetitive measurements can cause freezing of dynamics of a quantum state,
which is known as quantum Zeno effect. We consider an interacting
one-dimensional fermionic system and study the fate of the many-body quantum
Zeno transition if the system is allowed to evolve repetitively under the
unitary dynamics, followed by a measurement process. Measurement induced phase
transitions can be accessed by tuning a suitably defined parameter representing
measurement strength (frequency). We use different diagnostics, such as
long-time evolved entanglement entropy, purity and their fluctuations in order
to characterize the transition. We further perform a finite size scaling
analysis in order to detect the transition points and evaluate associated
scaling exponents via an unbiased numerical strategy of cost function
minimization, which provides a platform to compare finite-size scaling ansatze
proposed previously in context of many-body Zeno transition.
