A spacetime description of squeezed states in quantum fields is presen
ted, revealing the connection between squeezing and nonequilibrium dyn
amics. Squeezings in configuration space, occupation number space, and
phase space are distinguished; generating transformations and criteri
a for their physical realization are discussed. The results have an im
mediate applicability to atoms and ions in traps, as well as to quantu
m optics in relativistic and nonequilibrium systems. Squeezing, sub-Po
issonian statistics, and antibunching are all shown to be a direct con
sequence of spacetime inhomogeneities in the quantum field. The finite
speed of communication between separate regions of the field (finite
speed of light) places a lower limit on the attainable spectral width
of squeezed states. The squeezing parameter for field quadratures has
the appearance of a chemical potential in an inhomogeneous field, and
through a renormalization may be generated by a Chem-Simons-like term.