Squeezed Vibrational States in a Quantized Trap

The quantized center of mass (c. m.) motion of a single two-level atom or ion confined in a one-dimensional harmonic potential and interacting with a single-mode classical traveling laser field, is investigated. We show that both quadrature and amplitude squared squeezed vibrational states can be generated in this simple trap model when c. m. motion is initially in a certain coherent trap state.