Detail publikace

Time evolution of two harmonic oscillators with cross-Kerr interactions

BRUSCHI, D.

Originální název

Time evolution of two harmonic oscillators with cross-Kerr interactions

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

harmonic oscillators

Autoři

BRUSCHI, D.

Vydáno

1. 3. 2020

Nakladatel

AMER INST PHYSICS

Místo

MELVILLE

ISSN

0022-2488

Periodikum

JOURNAL OF MATHEMATICAL PHYSICS

Ročník

61

Číslo

3

Stát

Spojené státy americké

Strany od

032102-1

Strany do

032102-13

Strany počet

13

URL

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