is a rather peculiar case, requiring that the added reset transitions with rate $\Gamma$ exactly counterbalance all the non-zero currents arising in the reset-free process. In this case, the original process must again have a real spectrum in order for the spectrum of the reset process to be real.

Metastability {#Metastability}
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We close this section by discussing the effect of resets on metastable states that arise when the evolution of the probability distribution $P(C,t)$ exhibits two distinct time scales: a fast evolution towards long-lived metastable states, followed by a slow relaxation to the final stationary state. These metastable states typically reside in a reduced subset of the full state space, called the *metastable manifold* (MM), with the later relaxation to the stationary state occurring within the MM (see, e.g., [@Macieszczak2016] and references therein for definitions and nomenclature that applies both to classical and quantum metastability).

Much work has been done on Markovian processes to understand metastability [@GaveauSchulman1987Meta; @Gaveau1998; @Bovier2002; @Gaveau2006; @larralde2005; @olivieri2005], based on the presence of large gaps in the spectrum of the master operator, which are necessary for the occurrence of distinct timescales. The MM in this context is understood to correspond to the reduced set of 