  The complete phase diagram of the Kitaev model with a magnetic field remains
elusive, as do the experimental results in the candidate material
{\alpha}-RuCl3. Here, we study the Kitaev model on a one-dimensional ladder
setting within the density-matrix renormalization group method in the presence
of a magnetic field at zero temperature. We find five distinct phases with
increasing magnetic field, which are characterized by a homogeneous flux phase,
the Z2 vortex gas, solid and emergent glass phase, and finally, a
spin-polarized phase. The emergent glassiness is confirmed by calculating
correlation functions showing quasi-long-range behavior and ground state
fidelity, showing a plethora of energetically accessible orthogonal saddle
points corresponding to different flux configurations. This glassy behavior
seems to arise from the slow dynamics of the Z2 fluxes, which is a consequence
of the local constraints present in the underlying Hilbert space. This
phenomenon can also be explored in other spin-liquid systems where the
corresponding low-energy excitations are similarly retarded due to constraints.
