  Performing parallel gate operations while retaining low crosstalk is an
essential step in transforming neutral atom arrays into powerful quantum
computers and simulators. Tightly focusing control beams in small areas for
crosstalk suppression is typically challenging and can lead to imperfect
polarization for certain transitions. We tackle such a problem by introducing a
method to engineer single qubit gates through phase-modulated continuous
driving. Distinct qubits can be individually addressed to high accuracy by
simply tuning the modulation parameters, which significantly suppresses
crosstalk effects. When arranged in a lattice structure, individual control
with optimal crosstalk suppression is achieved. With the assistance of
additional addressing light or multiple modulation frequencies, we develop two
efficient implementations of parallel-gate operations. Our results pave the way
to scaling up atom-array platforms with low-error parallel-gate operations,
without requiring complicated wavefront design or high-power laser beams.
