Coherent states and squeezed states of massless and massive relativistic harmonic oscillators

Kazutaka G. Nakamura

Diego Julio Cirilo-Lombardo

Diego Julio Cirilo-Lombardo

Chung‐In Um, Kyu-Hwang Yeon, Thomas F. George +1 more

The minimum uncertainty and other relations are evaluated in the framework of the coherent states of the damped harmonic oscillator. It is shown that the coherent states of the damped harmonic oscillator are the squeezed coherent states of the simple harmonic oscillator. The unitary operator is also constructed, and this connects coherent states with damped harmonic and simple harmonic oscillators.

Chon‐Fai Kam, Wei-Min Zhang, D.H. Feng

Subhashish Banerjee, Joachim Kupsch

Canonical transformations are defined and discussed along with the coherent and the ultracoherent vectors. It is shown that the single-mode and the n -mode squeezing operators are elements of the group of canonical transformations. An application of canonical transformations is made, in the context of open quantum systems, by studying the effect of squeezing of the bath on the decoherence properties of the system. Two cases are analysed. In the first case, the bath consists of a massless bosonic field with the bath reference states being the squeezed vacuum states and squeezed thermal states while in the second case a system consisting of a harmonic oscillator interacting with a bath of harmonic oscillators is analysed with the bath being initially in a squeezed thermal state.