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We present a comprehensive study of the magnetization dynamics and phaseevolution in Cr$_{1/3}$NbS$_{2}$, which realizes a chiral soliton lattice(CSL). The magnetic field dependence of the ac magnetic response is analyzedfor five harmonic components, $M_{n\omega}(H)$ $(n =1-5)$, using a phasesensitive measurement over a frequency range, $f = 11 - 10,000$ Hz. At acritical field, the modulated CSL continuously evolves from a helicity-rich toa ferromagnetic domain-rich structure, where the crossover is revealed by theonset of an anomalous nonlinear magnetic response that coincides with extremelyslow dynamics. The behavior is indicative of the formation of a spatiallycoherent array of large ferromagnetic domains which relax on macroscopictime-scales. The frequency dependence of the ac magnetic loss displays anasymmetric distribution of relaxation times across the highly nonlinear CSLregime, which shift to shorter time-scales with increasing temperature. Weexperimentally resolve the tricritical point at $T_{TCP}$ in a temperatureregime above the ferromagnetic Curie temperature which separates the linear andnonlinear regimes of the CSL at the phase transition. A comprehensive phasediagram is constructed which summarized the features of the field andtemperature dependence of the magnetic crossovers and phase transitions inCr$_{1/3}$NbS$_{2}$.

Magnetic field dependence of the nonlinear magnetic response and tricritical point in the monoaxial chiral helimagnet Cr$_{1/3}$NbS$_{2}$