Time evolution of two harmonic oscillators with cross-Kerr interactions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26620%2F20%3APU139668" target="_blank" >RIV/00216305:26620/20:PU139668 - isvavai.cz</a>
Result on the web
<a href="https://aip.scitation.org/doi/10.1063/1.5121397" target="_blank" >https://aip.scitation.org/doi/10.1063/1.5121397</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.5121397" target="_blank" >10.1063/1.5121397</a>

Result language
angličtina
Original language name
Time evolution of two harmonic oscillators with cross-Kerr interactions
Original language description
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.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/LM2015041" target="_blank" >LM2015041: CEITEC Nano</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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