  Protvino to ORCA (Oscillation Research with Cosmics in the Abyss) (P2O) is an
upcoming neutrino oscillation experiment with a very long baseline of 2595 km.
Due to the substantial baseline, this experiment provides a unique opportunity
to study the earth matter effects over very large distances. This makes it a
suitable experiment to investigate the environmental decoherence in neutrino
oscillations, where the neutrino system could interact with a stochastic
environment and lead to a loss in the coherence of neutrino states. In this
work, we consider an open quantum system framework to simulate the neutrino
oscillations in P2O experiment and obtain bounds on the decoherence parameters
in different phenomenological models. We assume that the decoherence parameter
$\Gamma$ depends on neutrino energy $E_\nu$ as $\Gamma_{ij}(E_\nu) = \Gamma_{0}
(\frac{E_\nu}{E_0})^n$. Further, we use these bounds to study the effect on the
neutrino mass ordering sensitivity and CP violation sensitivity of P2O
experiment.
