Publication detail

Time evolution of two harmonic oscillators with cross-Kerr interactions

BRUSCHI, D.

Original Title

Time evolution of two harmonic oscillators with cross-Kerr interactions

Type

journal article in Web of Science

Language

English

Original Abstract

We study the time evolution of two coupled quantum harmonic oscillators interacting through nonlinear optomechanical-like Hamiltonians that include cross-Kerr interactions. We employ techniques developed to decouple the time-evolution operator and obtain the analytical solution for the time evolution of the system. We apply these results to obtain explicit expressions of a few quantities of interest. Our results do not require approximations and therefore allow us to study the nature and implications of the full nonlinearity of the system. As a potential application, we show that it is possible to greatly increase the population of phonons using a suitable combination of cubic and cross-Kerr interactions.

Keywords

harmonic oscillators

Authors

BRUSCHI, D.

Released

1. 3. 2020

Publisher

AMER INST PHYSICS

Location

MELVILLE

ISBN

0022-2488

Periodical

JOURNAL OF MATHEMATICAL PHYSICS

Year of study

61

Number

3

State

United States of America

Pages from

032102-1

Pages to

032102-13

Pages count

13

URL

https://aip.scitation.org/doi/10.1063/1.5121397