One-Parameter Gaussian State of Anharmonic Oscillator: Nonlinear Realization of Bogoliubov Transformation
Quantum Physics
2007-05-23 v1
Abstract
We find a one-parameter Gaussian state for an anharmonic oscillator with quadratic and quartic terms, which depends on the energy expectation value. For the weak coupling constant, the Gaussian state is a squeezed state of the vacuum state. However, for the strong coupling constant, the Gaussian state represents a different kind of condensation of bosonic particles through a nonlinear Bogoliubov transformation of the vacuum state.
Keywords
Cite
@article{arxiv.quant-ph/9902047,
title = {One-Parameter Gaussian State of Anharmonic Oscillator: Nonlinear Realization of Bogoliubov Transformation},
author = {Jung Kon Kim and Sang Pyo Kim and Kwang-Gi Park},
journal= {arXiv preprint arXiv:quant-ph/9902047},
year = {2007}
}
Comments
8 pages, RevTex, no figures