q-phase-coherent states and their squeezing properties

摘要

Some kinds of q-phase-coherent states of a q-harmonic osscillator in a finite-dimensional Hilbert space are constructed. Some properties of these states are discussed. Second-order squeezing properties of these states with respect to the phase quadrature operators are studied. The number-phase squeezing and number-phase uncertainty relations are also studied in detail for a two-state system. Some new number-phase minimum uncertainty states are found. (C) 1998 American Institute of Physics. [S0022-2488(98)01412-1]. [References: 27]