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We explore the spin states in the quantum spin chain compoundSrCo$_{2}$V$_{2}$O$_{8}$ up to 14.9 T and down to 50 mK, using single-crystalneutron diffraction. Upon cooling in zero-field, antiferromagnetic (AFM) orderof N\'eel type develops at $T_\mathrm{{N}}$ $\simeq$ 5.0 K. Applying anexternal magnetic field ($H$ $\parallel$ $c$-axis) destabilizes the N\'eelorder, leading to an order-disorder transition when applying a field between$T_\mathrm{{N}}$ and $\sim$ 1.5 K. Below 1.5 K, we observe a N\'eel tolongitudinal spin density wave (LSDW) order transition at 3.9 T, and a LSDW toemergent AFM order transition at 7.0 T. Our results also reveal several uniquesignatures for the states of the spins that are not present in theisostructural counterpart BaCo$_{2}$V$_{2}$O$_{8}$.

Magnetic phase diagram of the quantum spin chain compound SrCo$_{2}$V$_{2}$O$_{8}$: a single-crystal neutron diffraction study in magnetic field