  Twisted transition metal dichalcogenides are a new platform for realizing
strongly correlated physics with high tunability. Recent transport experiments
have reported the realization of a Mott insulator, its bandwidth-driven
evolution to a metal, and the strange metal behavior in proximity to the
transition via the tuning of a displacement field in twisted
$\mathrm{WSe_2}$($\mathrm{tWSe_2}$) fixed at half filling. However, the nature
of the correlated states and the related Mott physics involved in the whole
process remain to be determined. Here, we unveil theoretically the evolution of
the ground state of the half-filled $\boldsymbol{\mathrm{moir\acute{e}}}$
Hubbard model as applied to $\mathrm{tWSe_2}$, transiting from a pseudogap
state with Fermi arcs to a 120$^\circ$ Ne$\boldsymbol{\acute{\mathrm{e}}}$l
ordered Mott insulator, then to another pseudogap state with Fermi pockets, and
eventually to a Fermi liquid via a Lifshitz transition. The pseudogap phases
are definitively identified by the vanishing of quasiparticle weights over an
extended region of the free Fermi surface, with the remaining parts forming
disconnected Fermi arcs or pockets that contain well-defined quasiparticles.
The loss of quasiparticle weights in the pseudogap phases indicates the
breakdown of Landau's Fermi liquid theory. We demonstrate that the emergence of
the Fermi arcs/pockets results from the electronic structure reconstruction
driven by strong electron correlations, marked by the existence of Luttinger
surface enclosed by the zeros of single-particle Green's function. This work
reveals the fundamental aspects of the Mottness in
$\boldsymbol{\mathrm{moir\acute{e}}}$ systems and will stimulate the advance of
the direct probes of the Fermi surface and quasiparticles beyond transports,
such as angle-resolved photoemission spectroscopy (ARPES) and scanning
tunnelling microscopy (STM) experiments.
